id	sid	tid	token	lemma	pos
easat-10155	1	1	edelweiss	edelweiss	PROPN
easat-10155	1	2	applied	apply	VERB
easat-10155	1	3	science	science	NOUN
easat-10155	1	4	and	and	CCONJ
easat-10155	1	5	technology	technology	NOUN
easat-10155	1	6	issn	issn	PROPN
easat-10155	1	7	:	:	PUNCT
easat-10155	1	8	2576	2576	NUM
easat-10155	1	9	-	-	SYM
easat-10155	1	10	8484	8484	NUM
easat-10155	1	11	vol	vol	NOUN
easat-10155	1	12	.	.	PROPN
easat-10155	2	1	9	9	NUM
easat-10155	2	2	,	,	PUNCT
easat-10155	2	3	no	no	INTJ
easat-10155	2	4	.	.	NOUN
easat-10155	2	5	9	9	NUM
easat-10155	2	6	,	,	PUNCT
easat-10155	2	7	1471	1471	NUM
easat-10155	2	8	-	-	SYM
easat-10155	2	9	1483	1483	NUM
easat-10155	2	10	2025	2025	NUM
easat-10155	2	11	publisher	publisher	NOUN
easat-10155	2	12	:	:	PUNCT
easat-10155	2	13	learning	learn	VERB
easat-10155	2	14	gate	gate	NOUN
easat-10155	2	15	doi	doi	PROPN
easat-10155	2	16	:	:	PUNCT
easat-10155	2	17	10.55214/2576	10.55214/2576	NUM
easat-10155	2	18	-	-	SYM
easat-10155	2	19	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	2	20	©	©	ADP
easat-10155	2	21	2025	2025	NUM
easat-10155	2	22	by	by	ADP
easat-10155	2	23	the	the	DET
easat-10155	2	24	authors	author	NOUN
easat-10155	2	25	;	;	PUNCT
easat-10155	2	26	licensee	licensee	PROPN
easat-10155	2	27	learning	learning	NOUN
easat-10155	2	28	gate	gate	NOUN
easat-10155	3	1	©	©	PROPN
easat-10155	3	2	2025	2025	NUM
easat-10155	3	3	by	by	ADP
easat-10155	3	4	the	the	DET
easat-10155	3	5	authors	author	NOUN
easat-10155	3	6	;	;	PUNCT
easat-10155	3	7	licensee	licensee	PROPN
easat-10155	3	8	learning	learning	NOUN
easat-10155	3	9	gate	gate	NOUN
easat-10155	3	10	history	history	NOUN
easat-10155	3	11	:	:	PUNCT
easat-10155	3	12	received	receive	VERB
easat-10155	3	13	:	:	PUNCT
easat-10155	3	14	9	9	NUM
easat-10155	3	15	july	july	NOUN
easat-10155	3	16	2025	2025	NUM
easat-10155	3	17	;	;	PUNCT
easat-10155	3	18	revised	revise	VERB
easat-10155	3	19	:	:	PUNCT
easat-10155	3	20	19	19	NUM
easat-10155	3	21	august	august	PROPN
easat-10155	3	22	2025	2025	NUM
easat-10155	3	23	;	;	PUNCT
easat-10155	3	24	accepted	accept	VERB
easat-10155	3	25	:	:	PUNCT
easat-10155	3	26	25	25	NUM
easat-10155	3	27	august	august	PROPN
easat-10155	3	28	2025	2025	NUM
easat-10155	3	29	;	;	PUNCT
easat-10155	3	30	published	publish	VERB
easat-10155	3	31	:	:	PUNCT
easat-10155	3	32	23	23	NUM
easat-10155	3	33	september	september	PROPN
easat-10155	3	34	2025	2025	NUM
easat-10155	3	35	*	*	PUNCT
easat-10155	3	36	correspondence	correspondence	NOUN
easat-10155	3	37	:	:	PUNCT
easat-10155	4	1	meensphd@gmail.com	meensphd@gmail.com	X
easat-10155	4	2	approximate	approximate	ADJ
easat-10155	4	3	solutions	solution	NOUN
easat-10155	4	4	of	of	ADP
easat-10155	4	5	transient	transient	ADJ
easat-10155	4	6	reaction	reaction	NOUN
easat-10155	4	7	-	-	PUNCT
easat-10155	4	8	diffusion	diffusion	NOUN
easat-10155	4	9	equations	equation	NOUN
easat-10155	4	10	for	for	ADP
easat-10155	4	11	secondorder	secondorder	ADJ
easat-10155	4	12	regeneration	regeneration	NOUN
easat-10155	4	13	at	at	ADP
easat-10155	4	14	spherical	spherical	ADJ
easat-10155	4	15	microelectrodes	microelectrode	NOUN
easat-10155	4	16	via	via	ADP
easat-10155	4	17	hpm	hpm	NOUN
easat-10155	4	18	rajendran	rajendran	NOUN
easat-10155	4	19	nalini1	nalini1	PROPN
easat-10155	4	20	,	,	PUNCT
easat-10155	4	21	athimoolam	athimoolam	PROPN
easat-10155	4	22	meena1	meena1	PROPN
easat-10155	4	23	*	*	PROPN
easat-10155	4	24	,	,	PUNCT
easat-10155	4	25	lakshmanan	lakshmanan	PROPN
easat-10155	4	26	rajendran2	rajendran2	PROPN
easat-10155	4	27	,	,	PUNCT
easat-10155	4	28	mohammad	mohammad	PROPN
easat-10155	4	29	izadi3	izadi3	NOUN
easat-10155	4	30	1department	1department	NUM
easat-10155	4	31	of	of	ADP
easat-10155	4	32	mathematics	mathematics	PROPN
easat-10155	4	33	,	,	PUNCT
easat-10155	4	34	saraswathi	saraswathi	PROPN
easat-10155	4	35	narayanan	narayanan	PROPN
easat-10155	4	36	college	college	PROPN
easat-10155	4	37	,	,	PUNCT
easat-10155	4	38	madurai-625022	madurai-625022	NOUN
easat-10155	4	39	,	,	PUNCT
easat-10155	4	40	india	india	PROPN
easat-10155	4	41	;	;	PUNCT
easat-10155	4	42	meensphd@gmail.com	meensphd@gmail.com	PROPN
easat-10155	4	43	(	(	PUNCT
easat-10155	4	44	a.m.	a.m.	ADV
easat-10155	4	45	)	)	PUNCT
easat-10155	4	46	,	,	PUNCT
easat-10155	5	1	2department	2department	NUM
easat-10155	5	2	of	of	ADP
easat-10155	5	3	mathematics	mathematic	NOUN
easat-10155	5	4	,	,	PUNCT
easat-10155	5	5	amet	amet	PROPN
easat-10155	5	6	deemed	deem	VERB
easat-10155	5	7	to	to	PART
easat-10155	5	8	be	be	AUX
easat-10155	5	9	university	university	NOUN
easat-10155	5	10	,	,	PUNCT
easat-10155	5	11	kanathur	kanathur	NOUN
easat-10155	5	12	,	,	PUNCT
easat-10155	5	13	chennai603112	chennai603112	PROPN
easat-10155	5	14	,	,	PUNCT
easat-10155	5	15	india	india	PROPN
easat-10155	5	16	.	.	PUNCT
easat-10155	6	1	3department	3department	NUM
easat-10155	6	2	of	of	ADP
easat-10155	6	3	applied	apply	VERB
easat-10155	6	4	mathematics	mathematic	NOUN
easat-10155	6	5	,	,	PUNCT
easat-10155	6	6	faculty	faculty	NOUN
easat-10155	6	7	of	of	ADP
easat-10155	6	8	mathematics	mathematic	NOUN
easat-10155	6	9	and	and	CCONJ
easat-10155	6	10	computer	computer	NOUN
easat-10155	6	11	,	,	PUNCT
easat-10155	6	12	shahid	shahid	PROPN
easat-10155	6	13	bahonar	bahonar	VERB
easat-10155	6	14	university	university	PROPN
easat-10155	6	15	of	of	ADP
easat-10155	6	16	kerman	kerman	PROPN
easat-10155	6	17	,	,	PUNCT
easat-10155	6	18	kerman	kerman	PROPN
easat-10155	6	19	76169	76169	PROPN
easat-10155	6	20	-	-	SYM
easat-10155	6	21	14111	14111	NUM
easat-10155	6	22	,	,	PUNCT
easat-10155	6	23	iran	iran	PROPN
easat-10155	6	24	;	;	PUNCT
easat-10155	6	25	izadi@uk.ac.ir	izadi@uk.ac.ir	ADJ
easat-10155	6	26	(	(	PUNCT
easat-10155	6	27	m.i	m.i	PROPN
easat-10155	6	28	.	.	PROPN
easat-10155	6	29	)	)	PUNCT
easat-10155	6	30	.	.	PUNCT
easat-10155	7	1	abstract	abstract	ADV
easat-10155	7	2	:	:	PUNCT
easat-10155	7	3	the	the	DET
easat-10155	7	4	purpose	purpose	NOUN
easat-10155	7	5	of	of	ADP
easat-10155	7	6	this	this	DET
easat-10155	7	7	study	study	NOUN
easat-10155	7	8	is	be	AUX
easat-10155	7	9	to	to	PART
easat-10155	7	10	investigate	investigate	VERB
easat-10155	7	11	the	the	DET
easat-10155	7	12	transient	transient	ADJ
easat-10155	7	13	behavior	behavior	NOUN
easat-10155	7	14	of	of	ADP
easat-10155	7	15	a	a	DET
easat-10155	7	16	second	second	ADJ
easat-10155	7	17	-	-	PUNCT
easat-10155	7	18	order	order	NOUN
easat-10155	7	19	regeneration	regeneration	NOUN
easat-10155	7	20	reaction	reaction	NOUN
easat-10155	7	21	at	at	ADP
easat-10155	7	22	spherical	spherical	ADJ
easat-10155	7	23	microelectrodes	microelectrode	NOUN
easat-10155	7	24	,	,	PUNCT
easat-10155	7	25	where	where	SCONJ
easat-10155	7	26	nonlinear	nonlinear	ADJ
easat-10155	7	27	reaction	reaction	NOUN
easat-10155	7	28	–	–	PUNCT
easat-10155	7	29	diffusion	diffusion	NOUN
easat-10155	7	30	dynamics	dynamic	NOUN
easat-10155	7	31	govern	govern	VERB
easat-10155	7	32	the	the	DET
easat-10155	7	33	system	system	NOUN
easat-10155	7	34	response	response	NOUN
easat-10155	7	35	.	.	PUNCT
easat-10155	8	1	the	the	DET
easat-10155	8	2	research	research	NOUN
easat-10155	8	3	is	be	AUX
easat-10155	8	4	designed	design	VERB
easat-10155	8	5	to	to	PART
easat-10155	8	6	capture	capture	VERB
easat-10155	8	7	the	the	DET
easat-10155	8	8	interplay	interplay	NOUN
easat-10155	8	9	between	between	ADP
easat-10155	8	10	electrochemical	electrochemical	ADJ
easat-10155	8	11	electron	electron	NOUN
easat-10155	8	12	transfer	transfer	NOUN
easat-10155	8	13	and	and	CCONJ
easat-10155	8	14	the	the	DET
easat-10155	8	15	subsequent	subsequent	ADJ
easat-10155	8	16	homogeneous	homogeneous	ADJ
easat-10155	8	17	chemical	chemical	NOUN
easat-10155	8	18	reaction	reaction	NOUN
easat-10155	8	19	that	that	PRON
easat-10155	8	20	regenerates	regenerate	VERB
easat-10155	8	21	the	the	DET
easat-10155	8	22	electroactive	electroactive	ADJ
easat-10155	8	23	species	specie	NOUN
easat-10155	8	24	,	,	PUNCT
easat-10155	8	25	a	a	DET
easat-10155	8	26	process	process	NOUN
easat-10155	8	27	of	of	ADP
easat-10155	8	28	considerable	considerable	ADJ
easat-10155	8	29	importance	importance	NOUN
easat-10155	8	30	in	in	ADP
easat-10155	8	31	electrochemical	electrochemical	ADJ
easat-10155	8	32	sensors	sensor	NOUN
easat-10155	8	33	and	and	CCONJ
easat-10155	8	34	catalytic	catalytic	ADJ
easat-10155	8	35	systems	system	NOUN
easat-10155	8	36	.	.	PUNCT
easat-10155	9	1	the	the	DET
easat-10155	9	2	methodology	methodology	NOUN
easat-10155	9	3	combines	combine	VERB
easat-10155	9	4	analytical	analytical	ADJ
easat-10155	9	5	and	and	CCONJ
easat-10155	9	6	numerical	numerical	ADJ
easat-10155	9	7	approaches	approach	NOUN
easat-10155	9	8	:	:	PUNCT
easat-10155	9	9	the	the	DET
easat-10155	9	10	homotopy	homotopy	NOUN
easat-10155	9	11	perturbation	perturbation	NOUN
easat-10155	9	12	method	method	NOUN
easat-10155	9	13	(	(	PUNCT
easat-10155	9	14	hpm	hpm	NOUN
easat-10155	9	15	)	)	PUNCT
easat-10155	9	16	is	be	AUX
easat-10155	9	17	applied	apply	VERB
easat-10155	9	18	to	to	PART
easat-10155	9	19	derive	derive	VERB
easat-10155	9	20	approximate	approximate	ADJ
easat-10155	9	21	solutions	solution	NOUN
easat-10155	9	22	for	for	ADP
easat-10155	9	23	non	non	ADJ
easat-10155	9	24	-	-	ADJ
easat-10155	9	25	steady	steady	ADJ
easat-10155	9	26	-	-	PUNCT
easat-10155	9	27	state	state	NOUN
easat-10155	9	28	concentrations	concentration	NOUN
easat-10155	9	29	and	and	CCONJ
easat-10155	9	30	current	current	ADJ
easat-10155	9	31	responses	response	NOUN
easat-10155	9	32	,	,	PUNCT
easat-10155	9	33	while	while	SCONJ
easat-10155	9	34	numerical	numerical	ADJ
easat-10155	9	35	simulations	simulation	NOUN
easat-10155	9	36	are	be	AUX
easat-10155	9	37	carried	carry	VERB
easat-10155	9	38	out	out	ADP
easat-10155	9	39	using	use	VERB
easat-10155	9	40	scilab	scilab	PROPN
easat-10155	9	41	to	to	PART
easat-10155	9	42	ensure	ensure	VERB
easat-10155	9	43	accuracy	accuracy	NOUN
easat-10155	9	44	and	and	CCONJ
easat-10155	9	45	reliability	reliability	NOUN
easat-10155	9	46	.	.	PUNCT
easat-10155	10	1	the	the	DET
easat-10155	10	2	approach	approach	NOUN
easat-10155	10	3	effectively	effectively	ADV
easat-10155	10	4	manages	manage	VERB
easat-10155	10	5	the	the	DET
easat-10155	10	6	inherent	inherent	ADJ
easat-10155	10	7	nonlinearity	nonlinearity	NOUN
easat-10155	10	8	of	of	ADP
easat-10155	10	9	the	the	DET
easat-10155	10	10	governing	govern	VERB
easat-10155	10	11	equations	equation	NOUN
easat-10155	10	12	,	,	PUNCT
easat-10155	10	13	offering	offer	VERB
easat-10155	10	14	tractable	tractable	ADJ
easat-10155	10	15	expressions	expression	NOUN
easat-10155	10	16	for	for	ADP
easat-10155	10	17	system	system	NOUN
easat-10155	10	18	behavior	behavior	NOUN
easat-10155	10	19	.	.	PUNCT
easat-10155	11	1	the	the	DET
easat-10155	11	2	findings	finding	NOUN
easat-10155	11	3	demonstrate	demonstrate	VERB
easat-10155	11	4	strong	strong	ADJ
easat-10155	11	5	agreement	agreement	NOUN
easat-10155	11	6	between	between	ADP
easat-10155	11	7	the	the	DET
easat-10155	11	8	hpm	hpm	NOUN
easat-10155	11	9	-	-	PUNCT
easat-10155	11	10	based	base	VERB
easat-10155	11	11	analytical	analytical	ADJ
easat-10155	11	12	solutions	solution	NOUN
easat-10155	11	13	and	and	CCONJ
easat-10155	11	14	numerical	numerical	ADJ
easat-10155	11	15	simulations	simulation	NOUN
easat-10155	11	16	,	,	PUNCT
easat-10155	11	17	confirming	confirm	VERB
easat-10155	11	18	the	the	DET
easat-10155	11	19	validity	validity	NOUN
easat-10155	11	20	of	of	ADP
easat-10155	11	21	the	the	DET
easat-10155	11	22	proposed	propose	VERB
easat-10155	11	23	approach	approach	NOUN
easat-10155	11	24	.	.	PUNCT
easat-10155	12	1	the	the	DET
easat-10155	12	2	study	study	NOUN
easat-10155	12	3	concludes	conclude	VERB
easat-10155	12	4	that	that	SCONJ
easat-10155	12	5	hpm	hpm	NOUN
easat-10155	12	6	is	be	AUX
easat-10155	12	7	a	a	DET
easat-10155	12	8	robust	robust	ADJ
easat-10155	12	9	and	and	CCONJ
easat-10155	12	10	efficient	efficient	ADJ
easat-10155	12	11	tool	tool	NOUN
easat-10155	12	12	for	for	ADP
easat-10155	12	13	analyzing	analyze	VERB
easat-10155	12	14	nonlinear	nonlinear	ADJ
easat-10155	12	15	electrochemical	electrochemical	ADJ
easat-10155	12	16	systems	system	NOUN
easat-10155	12	17	.	.	PUNCT
easat-10155	13	1	the	the	DET
easat-10155	13	2	practical	practical	ADJ
easat-10155	13	3	implications	implication	NOUN
easat-10155	13	4	highlight	highlight	VERB
easat-10155	13	5	its	its	PRON
easat-10155	13	6	potential	potential	ADJ
easat-10155	13	7	application	application	NOUN
easat-10155	13	8	in	in	ADP
easat-10155	13	9	the	the	DET
easat-10155	13	10	modeling	modeling	NOUN
easat-10155	13	11	and	and	CCONJ
easat-10155	13	12	optimization	optimization	NOUN
easat-10155	13	13	of	of	ADP
easat-10155	13	14	electrochemical	electrochemical	ADJ
easat-10155	13	15	devices	device	NOUN
easat-10155	13	16	,	,	PUNCT
easat-10155	13	17	such	such	ADJ
easat-10155	13	18	as	as	ADP
easat-10155	13	19	biosensors	biosensor	NOUN
easat-10155	13	20	,	,	PUNCT
easat-10155	13	21	microelectrodes	microelectrode	NOUN
easat-10155	13	22	,	,	PUNCT
easat-10155	13	23	and	and	CCONJ
easat-10155	13	24	catalytic	catalytic	ADJ
easat-10155	13	25	fuel	fuel	NOUN
easat-10155	13	26	cells	cell	NOUN
easat-10155	13	27	,	,	PUNCT
easat-10155	13	28	where	where	SCONJ
easat-10155	13	29	transient	transient	ADJ
easat-10155	13	30	dynamics	dynamic	NOUN
easat-10155	13	31	and	and	CCONJ
easat-10155	13	32	regeneration	regeneration	NOUN
easat-10155	13	33	mechanisms	mechanism	NOUN
easat-10155	13	34	play	play	VERB
easat-10155	13	35	a	a	DET
easat-10155	13	36	critical	critical	ADJ
easat-10155	13	37	role	role	NOUN
easat-10155	13	38	.	.	PUNCT
easat-10155	14	1	keywords	keyword	NOUN
easat-10155	14	2	:	:	PUNCT
easat-10155	14	3	electrochemical	electrochemical	ADJ
easat-10155	14	4	modelling	modelling	NOUN
easat-10155	14	5	,	,	PUNCT
easat-10155	14	6	homotopy	homotopy	VERB
easat-10155	14	7	perturbation	perturbation	NOUN
easat-10155	14	8	method	method	NOUN
easat-10155	14	9	,	,	PUNCT
easat-10155	14	10	reaction	reaction	NOUN
easat-10155	14	11	–	–	PUNCT
easat-10155	14	12	diffusion	diffusion	NOUN
easat-10155	14	13	equations	equation	NOUN
easat-10155	14	14	,	,	PUNCT
easat-10155	14	15	second	second	ADJ
easat-10155	14	16	-	-	PUNCT
easat-10155	14	17	order	order	NOUN
easat-10155	14	18	regeneration	regeneration	NOUN
easat-10155	14	19	kinetics	kinetic	NOUN
easat-10155	14	20	,	,	PUNCT
easat-10155	14	21	spherical	spherical	ADJ
easat-10155	14	22	microelectrodes	microelectrode	NOUN
easat-10155	14	23	.	.	PUNCT
easat-10155	15	1	1	1	X
easat-10155	15	2	.	.	X
easat-10155	15	3	introduction	introduction	NOUN
easat-10155	15	4	transient	transient	NOUN
easat-10155	15	5	reaction	reaction	NOUN
easat-10155	15	6	–	–	PUNCT
easat-10155	15	7	diffusion	diffusion	NOUN
easat-10155	15	8	processes	process	NOUN
easat-10155	15	9	at	at	ADP
easat-10155	15	10	spherical	spherical	ADJ
easat-10155	15	11	microelectrodes	microelectrode	NOUN
easat-10155	15	12	are	be	AUX
easat-10155	15	13	fundamental	fundamental	ADJ
easat-10155	15	14	to	to	ADP
easat-10155	15	15	understanding	understand	VERB
easat-10155	15	16	complex	complex	ADJ
easat-10155	15	17	electrochemical	electrochemical	ADJ
easat-10155	15	18	systems	system	NOUN
easat-10155	15	19	,	,	PUNCT
easat-10155	15	20	particularly	particularly	ADV
easat-10155	15	21	those	those	PRON
easat-10155	15	22	involving	involve	VERB
easat-10155	15	23	second	second	ADJ
easat-10155	15	24	-	-	PUNCT
easat-10155	15	25	order	order	NOUN
easat-10155	15	26	regeneration	regeneration	NOUN
easat-10155	15	27	reactions	reaction	NOUN
easat-10155	15	28	.	.	PUNCT
easat-10155	16	1	these	these	DET
easat-10155	16	2	reactions	reaction	NOUN
easat-10155	16	3	couple	couple	NOUN
easat-10155	16	4	electron	electron	NOUN
easat-10155	16	5	transfer	transfer	NOUN
easat-10155	16	6	with	with	ADP
easat-10155	16	7	homogeneous	homogeneous	ADJ
easat-10155	16	8	chemical	chemical	NOUN
easat-10155	16	9	transformations	transformation	NOUN
easat-10155	16	10	,	,	PUNCT
easat-10155	16	11	producing	produce	VERB
easat-10155	16	12	nonlinear	nonlinear	ADJ
easat-10155	16	13	behavior	behavior	NOUN
easat-10155	16	14	that	that	PRON
easat-10155	16	15	influences	influence	VERB
easat-10155	16	16	both	both	DET
easat-10155	16	17	concentration	concentration	NOUN
easat-10155	16	18	profiles	profile	NOUN
easat-10155	16	19	and	and	CCONJ
easat-10155	16	20	current	current	ADJ
easat-10155	16	21	responses	response	NOUN
easat-10155	16	22	.	.	PUNCT
easat-10155	17	1	the	the	DET
easat-10155	17	2	spherical	spherical	ADJ
easat-10155	17	3	geometry	geometry	NOUN
easat-10155	17	4	offers	offer	VERB
easat-10155	17	5	distinct	distinct	ADJ
easat-10155	17	6	advantages	advantage	NOUN
easat-10155	17	7	,	,	PUNCT
easat-10155	17	8	such	such	ADJ
easat-10155	17	9	as	as	ADP
easat-10155	17	10	radial	radial	ADJ
easat-10155	17	11	symmetry	symmetry	NOUN
easat-10155	17	12	and	and	CCONJ
easat-10155	17	13	enhanced	enhance	VERB
easat-10155	17	14	mass	mass	NOUN
easat-10155	17	15	transport	transport	NOUN
easat-10155	17	16	,	,	PUNCT
easat-10155	17	17	making	make	VERB
easat-10155	17	18	it	it	PRON
easat-10155	17	19	an	an	DET
easat-10155	17	20	ideal	ideal	ADJ
easat-10155	17	21	platform	platform	NOUN
easat-10155	17	22	for	for	ADP
easat-10155	17	23	probing	probe	VERB
easat-10155	17	24	microscale	microscale	ADJ
easat-10155	17	25	kinetics	kinetic	NOUN
easat-10155	17	26	.	.	PUNCT
easat-10155	18	1	modeling	model	VERB
easat-10155	18	2	such	such	ADJ
easat-10155	18	3	systems	system	NOUN
easat-10155	18	4	requires	require	VERB
easat-10155	18	5	solving	solve	VERB
easat-10155	18	6	nonlinear	nonlinear	ADJ
easat-10155	18	7	partial	partial	ADJ
easat-10155	18	8	differential	differential	ADJ
easat-10155	18	9	equations	equation	NOUN
easat-10155	18	10	that	that	PRON
easat-10155	18	11	capture	capture	VERB
easat-10155	18	12	spatial	spatial	ADJ
easat-10155	18	13	and	and	CCONJ
easat-10155	18	14	temporal	temporal	ADJ
easat-10155	18	15	variations	variation	NOUN
easat-10155	18	16	in	in	ADP
easat-10155	18	17	concentration	concentration	NOUN
easat-10155	18	18	.	.	PUNCT
easat-10155	19	1	developing	develop	VERB
easat-10155	19	2	reliable	reliable	ADJ
easat-10155	19	3	analytical	analytical	ADJ
easat-10155	19	4	and	and	CCONJ
easat-10155	19	5	numerical	numerical	ADJ
easat-10155	19	6	solutions	solution	NOUN
easat-10155	19	7	to	to	ADP
easat-10155	19	8	these	these	DET
easat-10155	19	9	equations	equation	NOUN
easat-10155	19	10	is	be	AUX
easat-10155	19	11	critical	critical	ADJ
easat-10155	19	12	for	for	ADP
easat-10155	19	13	advancing	advance	VERB
easat-10155	19	14	electrochemical	electrochemical	ADJ
easat-10155	19	15	theory	theory	NOUN
easat-10155	19	16	.	.	PUNCT
easat-10155	20	1	moreover	moreover	ADV
easat-10155	20	2	,	,	PUNCT
easat-10155	20	3	these	these	DET
easat-10155	20	4	studies	study	NOUN
easat-10155	20	5	have	have	VERB
easat-10155	20	6	wide	wide	ADJ
easat-10155	20	7	practical	practical	ADJ
easat-10155	20	8	applications	application	NOUN
easat-10155	20	9	in	in	ADP
easat-10155	20	10	biosensing	biosensing	NOUN
easat-10155	20	11	,	,	PUNCT
easat-10155	20	12	electrocatalysis	electrocatalysis	NOUN
easat-10155	20	13	,	,	PUNCT
easat-10155	20	14	and	and	CCONJ
easat-10155	20	15	microanalytical	microanalytical	ADJ
easat-10155	20	16	chemistry	chemistry	NOUN
easat-10155	20	17	,	,	PUNCT
easat-10155	20	18	where	where	SCONJ
easat-10155	20	19	accurate	accurate	ADJ
easat-10155	20	20	transient	transient	NOUN
easat-10155	20	21	modeling	modeling	NOUN
easat-10155	20	22	supports	support	VERB
easat-10155	20	23	improved	improve	VERB
easat-10155	20	24	device	device	NOUN
easat-10155	20	25	performance	performance	NOUN
easat-10155	20	26	and	and	CCONJ
easat-10155	20	27	optimization	optimization	NOUN
easat-10155	20	28	.	.	PUNCT
easat-10155	21	1	electrode	electrode	NOUN
easat-10155	21	2	reaction	reaction	NOUN
easat-10155	21	3	mechanisms	mechanism	NOUN
easat-10155	21	4	involving	involve	VERB
easat-10155	21	5	second	second	ADJ
easat-10155	21	6	-	-	PUNCT
easat-10155	21	7	order	order	NOUN
easat-10155	21	8	homogeneous	homogeneous	ADJ
easat-10155	21	9	kinetics	kinetic	NOUN
easat-10155	21	10	have	have	AUX
easat-10155	21	11	been	be	AUX
easat-10155	21	12	investigated	investigate	VERB
easat-10155	21	13	using	use	VERB
easat-10155	21	14	both	both	CCONJ
easat-10155	21	15	numerical	numerical	ADJ
easat-10155	21	16	and	and	CCONJ
easat-10155	21	17	analytical	analytical	ADJ
easat-10155	21	18	techniques	technique	NOUN
easat-10155	21	19	.	.	PUNCT
easat-10155	22	1	molina	molina	PROPN
easat-10155	22	2	and	and	CCONJ
easat-10155	22	3	laborda	laborda	PROPN
easat-10155	23	1	[	[	X
easat-10155	23	2	1	1	X
easat-10155	23	3	]	]	PUNCT
easat-10155	23	4	proposed	propose	VERB
easat-10155	23	5	a	a	DET
easat-10155	23	6	generalized	generalized	ADJ
easat-10155	23	7	numerical	numerical	ADJ
easat-10155	23	8	scheme	scheme	NOUN
easat-10155	23	9	based	base	VERB
easat-10155	23	10	on	on	ADP
easat-10155	23	11	finite	finite	ADJ
easat-10155	23	12	-	-	PUNCT
easat-10155	23	13	difference	difference	ADJ
easat-10155	23	14	equations	equation	NOUN
easat-10155	23	15	to	to	PART
easat-10155	23	16	describe	describe	VERB
easat-10155	23	17	diffusion	diffusion	NOUN
easat-10155	23	18	and	and	CCONJ
easat-10155	23	19	kinetic	kinetic	NOUN
easat-10155	23	20	processes	process	NOUN
easat-10155	23	21	across	across	ADP
easat-10155	23	22	different	different	ADJ
easat-10155	23	23	time	time	NOUN
easat-10155	23	24	intervals	interval	NOUN
easat-10155	23	25	.	.	PUNCT
easat-10155	24	1	eswari	eswari	NOUN
easat-10155	24	2	and	and	CCONJ
easat-10155	24	3	rajendran	rajendran	VERB
easat-10155	25	1	[	[	X
easat-10155	25	2	2	2	NUM
easat-10155	25	3	]	]	PUNCT
easat-10155	25	4	applied	apply	VERB
easat-10155	25	5	the	the	DET
easat-10155	25	6	homotopy	homotopy	NOUN
easat-10155	25	7	perturbation	perturbation	NOUN
easat-10155	25	8	mailto:meensphd@gmail.com	mailto:meensphd@gmail.com	X
easat-10155	26	1	https://orcid.org/0009-0008-4793-7075	https://orcid.org/0009-0008-4793-7075	VERB
easat-10155	26	2	https://orcid.org/0000-0003-2312-6848	https://orcid.org/0000-0003-2312-6848	ADP
easat-10155	26	3	https://orcid.org/0000-0002-2003-4553	https://orcid.org/0000-0002-2003-4553	PROPN
easat-10155	26	4	https://orcid.org/0000-0002-6116-4928	https://orcid.org/0000-0002-6116-4928	PROPN
easat-10155	26	5	1472	1472	NUM
easat-10155	26	6	edelweiss	edelweiss	PROPN
easat-10155	26	7	applied	apply	VERB
easat-10155	26	8	science	science	NOUN
easat-10155	26	9	and	and	CCONJ
easat-10155	26	10	technology	technology	NOUN
easat-10155	26	11	issn	issn	PROPN
easat-10155	26	12	:	:	PUNCT
easat-10155	26	13	2576	2576	NUM
easat-10155	26	14	-	-	SYM
easat-10155	26	15	8484	8484	NUM
easat-10155	26	16	vol	vol	NOUN
easat-10155	26	17	.	.	PROPN
easat-10155	27	1	9	9	NUM
easat-10155	27	2	,	,	PUNCT
easat-10155	27	3	no	no	INTJ
easat-10155	27	4	.	.	NOUN
easat-10155	27	5	9	9	NUM
easat-10155	27	6	:	:	SYM
easat-10155	27	7	1471	1471	NUM
easat-10155	27	8	-	-	SYM
easat-10155	27	9	1483	1483	NUM
easat-10155	27	10	,	,	PUNCT
easat-10155	27	11	2025	2025	NUM
easat-10155	27	12	doi	doi	NOUN
easat-10155	27	13	:	:	PUNCT
easat-10155	27	14	10.55214/2576	10.55214/2576	NUM
easat-10155	27	15	-	-	SYM
easat-10155	27	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	27	17	©	©	ADP
easat-10155	27	18	2025	2025	NUM
easat-10155	27	19	by	by	ADP
easat-10155	27	20	the	the	DET
easat-10155	27	21	authors	author	NOUN
easat-10155	27	22	;	;	PUNCT
easat-10155	27	23	licensee	licensee	PROPN
easat-10155	27	24	learning	learning	NOUN
easat-10155	27	25	gate	gate	NOUN
easat-10155	27	26	method	method	NOUN
easat-10155	27	27	(	(	PUNCT
easat-10155	27	28	hpm	hpm	NOUN
easat-10155	27	29	)	)	PUNCT
easat-10155	27	30	to	to	PART
easat-10155	27	31	derive	derive	VERB
easat-10155	27	32	approximate	approximate	ADJ
easat-10155	27	33	analytical	analytical	ADJ
easat-10155	27	34	expressions	expression	NOUN
easat-10155	27	35	for	for	ADP
easat-10155	27	36	concentration	concentration	NOUN
easat-10155	27	37	and	and	CCONJ
easat-10155	27	38	current	current	ADJ
easat-10155	27	39	in	in	ADP
easat-10155	27	40	homogeneous	homogeneous	ADJ
easat-10155	27	41	catalytic	catalytic	ADJ
easat-10155	27	42	reactions	reaction	NOUN
easat-10155	27	43	at	at	ADP
easat-10155	27	44	spherical	spherical	ADJ
easat-10155	27	45	microelectrodes	microelectrode	NOUN
easat-10155	27	46	.	.	PUNCT
easat-10155	28	1	molina	molina	PROPN
easat-10155	28	2	,	,	PUNCT
easat-10155	28	3	et	et	PROPN
easat-10155	28	4	al	al	PROPN
easat-10155	28	5	.	.	PUNCT
easat-10155	29	1	[	[	X
easat-10155	29	2	3	3	X
easat-10155	29	3	]	]	PUNCT
easat-10155	29	4	examined	examine	VERB
easat-10155	29	5	the	the	DET
easat-10155	29	6	chromate	chromate	NOUN
easat-10155	29	7	ampero	ampero	NOUN
easat-10155	29	8	metric	metric	ADJ
easat-10155	29	9	behavior	behavior	NOUN
easat-10155	29	10	of	of	ADP
easat-10155	29	11	ce	ce	PROPN
easat-10155	29	12	processes	process	NOUN
easat-10155	29	13	at	at	ADP
easat-10155	29	14	spherical	spherical	ADJ
easat-10155	29	15	microelectrodes	microelectrode	NOUN
easat-10155	29	16	under	under	ADP
easat-10155	29	17	fast	fast	ADJ
easat-10155	29	18	chemical	chemical	NOUN
easat-10155	29	19	conditions	condition	NOUN
easat-10155	29	20	,	,	PUNCT
easat-10155	29	21	while	while	SCONJ
easat-10155	29	22	delmastro	delmastro	VERB
easat-10155	29	23	[	[	X
easat-10155	29	24	4	4	NUM
easat-10155	29	25	]	]	PUNCT
easat-10155	29	26	presented	present	VERB
easat-10155	29	27	the	the	DET
easat-10155	29	28	polarographic	polarographic	ADJ
easat-10155	29	29	kinetic	kinetic	ADJ
easat-10155	29	30	current	current	ADJ
easat-10155	29	31	theory	theory	NOUN
easat-10155	29	32	for	for	ADP
easat-10155	29	33	second	second	ADJ
easat-10155	29	34	-	-	PUNCT
easat-10155	29	35	order	order	NOUN
easat-10155	29	36	regeneration	regeneration	NOUN
easat-10155	29	37	reactions	reaction	NOUN
easat-10155	29	38	.	.	PUNCT
easat-10155	30	1	in	in	ADP
easat-10155	30	2	addition	addition	NOUN
easat-10155	30	3	,	,	PUNCT
easat-10155	30	4	ec	ec	PROPN
easat-10155	30	5	processes	process	NOUN
easat-10155	30	6	at	at	ADP
easat-10155	30	7	ultramicroelectrodes	ultramicroelectrode	NOUN
easat-10155	30	8	have	have	AUX
easat-10155	30	9	been	be	AUX
easat-10155	30	10	extensively	extensively	ADV
easat-10155	30	11	studied	study	VERB
easat-10155	30	12	through	through	ADP
easat-10155	30	13	computational	computational	ADJ
easat-10155	30	14	simulations	simulation	NOUN
easat-10155	30	15	[	[	X
easat-10155	30	16	5	5	NUM
easat-10155	30	17	-	-	SYM
easat-10155	30	18	7	7	NUM
easat-10155	30	19	]	]	PUNCT
easat-10155	30	20	and	and	CCONJ
easat-10155	30	21	analytical	analytical	ADJ
easat-10155	30	22	approximations	approximation	NOUN
easat-10155	30	23	[	[	X
easat-10155	30	24	8	8	NUM
easat-10155	30	25	,	,	PUNCT
easat-10155	30	26	9	9	NUM
easat-10155	30	27	]	]	PUNCT
easat-10155	30	28	.	.	PUNCT
easat-10155	31	1	rajendran	rajendran	PROPN
easat-10155	31	2	and	and	CCONJ
easat-10155	31	3	co	co	NOUN
easat-10155	31	4	-	-	NOUN
easat-10155	31	5	workers	worker	NOUN
easat-10155	31	6	further	far	ADV
easat-10155	31	7	contributed	contribute	VERB
easat-10155	31	8	by	by	ADP
easat-10155	31	9	reporting	report	VERB
easat-10155	31	10	accurate	accurate	ADJ
easat-10155	31	11	analytical	analytical	ADJ
easat-10155	31	12	solutions	solution	NOUN
easat-10155	31	13	for	for	ADP
easat-10155	31	14	steady	steady	ADJ
easat-10155	31	15	-	-	PUNCT
easat-10155	31	16	state	state	NOUN
easat-10155	31	17	chronoamperometric	chronoamperometric	ADJ
easat-10155	31	18	currents	current	NOUN
easat-10155	31	19	in	in	ADP
easat-10155	31	20	ec	ec	PROPN
easat-10155	31	21	reactions	reaction	NOUN
easat-10155	31	22	at	at	ADP
easat-10155	31	23	disc	disc	NOUN
easat-10155	31	24	[	[	X
easat-10155	31	25	10	10	NUM
easat-10155	31	26	]	]	PUNCT
easat-10155	31	27	spheroidal	spheroidal	NOUN
easat-10155	31	28	ultramicroelectrodes	ultramicroelectrode	NOUN
easat-10155	31	29	.	.	PUNCT
easat-10155	32	1	izadi	izadi	PROPN
easat-10155	32	2	et	et	PROPN
easat-10155	32	3	al	al	PROPN
easat-10155	32	4	.	.	PROPN
easat-10155	32	5	applied	apply	VERB
easat-10155	32	6	numerical	numerical	ADJ
easat-10155	32	7	techniques	technique	NOUN
easat-10155	32	8	to	to	PART
easat-10155	32	9	solve	solve	VERB
easat-10155	32	10	the	the	DET
easat-10155	32	11	nonlinear	nonlinear	ADJ
easat-10155	32	12	equation	equation	NOUN
easat-10155	32	13	[	[	X
easat-10155	32	14	11	11	NUM
easat-10155	32	15	-	-	SYM
easat-10155	32	16	13	13	NUM
easat-10155	32	17	]	]	PUNCT
easat-10155	32	18	.	.	PUNCT
easat-10155	33	1	despite	despite	SCONJ
easat-10155	33	2	these	these	DET
easat-10155	33	3	advances	advance	NOUN
easat-10155	33	4	,	,	PUNCT
easat-10155	33	5	accurate	accurate	ADJ
easat-10155	33	6	analytical	analytical	ADJ
easat-10155	33	7	approximations	approximation	NOUN
easat-10155	33	8	for	for	ADP
easat-10155	33	9	transient	transient	ADJ
easat-10155	33	10	concentrations	concentration	NOUN
easat-10155	33	11	and	and	CCONJ
easat-10155	33	12	kinetic	kinetic	ADJ
easat-10155	33	13	currents	current	NOUN
easat-10155	33	14	in	in	ADP
easat-10155	33	15	second	second	ADJ
easat-10155	33	16	-	-	PUNCT
easat-10155	33	17	order	order	NOUN
easat-10155	33	18	regeneration	regeneration	NOUN
easat-10155	33	19	reactions	reaction	NOUN
easat-10155	33	20	at	at	ADP
easat-10155	33	21	spherical	spherical	ADJ
easat-10155	33	22	electrodes	electrode	NOUN
easat-10155	33	23	remain	remain	VERB
easat-10155	33	24	unavailable	unavailable	ADJ
easat-10155	33	25	.	.	PUNCT
easat-10155	34	1	this	this	DET
easat-10155	34	2	gap	gap	NOUN
easat-10155	34	3	limits	limit	VERB
easat-10155	34	4	predictive	predictive	ADJ
easat-10155	34	5	modeling	modeling	NOUN
easat-10155	34	6	of	of	ADP
easat-10155	34	7	such	such	ADJ
easat-10155	34	8	nonlinear	nonlinear	ADJ
easat-10155	34	9	electrochemical	electrochemical	ADJ
easat-10155	34	10	systems	system	NOUN
easat-10155	34	11	under	under	ADP
easat-10155	34	12	time	time	NOUN
easat-10155	34	13	-	-	PUNCT
easat-10155	34	14	dependent	dependent	ADJ
easat-10155	34	15	conditions	condition	NOUN
easat-10155	34	16	.	.	PUNCT
easat-10155	35	1	to	to	PART
easat-10155	35	2	address	address	VERB
easat-10155	35	3	this	this	DET
easat-10155	35	4	challenge	challenge	NOUN
easat-10155	35	5	,	,	PUNCT
easat-10155	35	6	the	the	DET
easat-10155	35	7	present	present	ADJ
easat-10155	35	8	study	study	NOUN
easat-10155	35	9	employs	employ	VERB
easat-10155	35	10	the	the	DET
easat-10155	35	11	homotopy	homotopy	NOUN
easat-10155	35	12	perturbation	perturbation	NOUN
easat-10155	35	13	method	method	NOUN
easat-10155	35	14	(	(	PUNCT
easat-10155	35	15	hpm	hpm	NOUN
easat-10155	35	16	)	)	PUNCT
easat-10155	35	17	to	to	PART
easat-10155	35	18	obtain	obtain	VERB
easat-10155	35	19	approximate	approximate	ADJ
easat-10155	35	20	analytical	analytical	ADJ
easat-10155	35	21	solutions	solution	NOUN
easat-10155	35	22	for	for	ADP
easat-10155	35	23	both	both	DET
easat-10155	35	24	concentration	concentration	NOUN
easat-10155	35	25	distributions	distribution	NOUN
easat-10155	35	26	and	and	CCONJ
easat-10155	35	27	current	current	ADJ
easat-10155	35	28	responses	response	NOUN
easat-10155	35	29	.	.	PUNCT
easat-10155	36	1	the	the	DET
easat-10155	36	2	approach	approach	NOUN
easat-10155	36	3	not	not	PART
easat-10155	36	4	only	only	ADV
easat-10155	36	5	manages	manage	VERB
easat-10155	36	6	the	the	DET
easat-10155	36	7	inherent	inherent	ADJ
easat-10155	36	8	nonlinearity	nonlinearity	NOUN
easat-10155	36	9	of	of	ADP
easat-10155	36	10	the	the	DET
easat-10155	36	11	governing	govern	VERB
easat-10155	36	12	equations	equation	NOUN
easat-10155	36	13	but	but	CCONJ
easat-10155	36	14	also	also	ADV
easat-10155	36	15	provides	provide	VERB
easat-10155	36	16	results	result	NOUN
easat-10155	36	17	that	that	PRON
easat-10155	36	18	can	can	AUX
easat-10155	36	19	be	be	AUX
easat-10155	36	20	compared	compare	VERB
easat-10155	36	21	with	with	ADP
easat-10155	36	22	numerical	numerical	ADJ
easat-10155	36	23	simulations	simulation	NOUN
easat-10155	36	24	for	for	ADP
easat-10155	36	25	validation	validation	NOUN
easat-10155	36	26	.	.	PUNCT
easat-10155	37	1	by	by	ADP
easat-10155	37	2	bridging	bridge	VERB
easat-10155	37	3	this	this	DET
easat-10155	37	4	gap	gap	NOUN
easat-10155	37	5	,	,	PUNCT
easat-10155	37	6	the	the	DET
easat-10155	37	7	study	study	NOUN
easat-10155	37	8	aims	aim	VERB
easat-10155	37	9	to	to	PART
easat-10155	37	10	extend	extend	VERB
easat-10155	37	11	the	the	DET
easat-10155	37	12	analytical	analytical	ADJ
easat-10155	37	13	toolkit	toolkit	NOUN
easat-10155	37	14	available	available	ADJ
easat-10155	37	15	for	for	ADP
easat-10155	37	16	modeling	model	VERB
easat-10155	37	17	transient	transient	ADJ
easat-10155	37	18	electrochemical	electrochemical	ADJ
easat-10155	37	19	processes	process	NOUN
easat-10155	37	20	at	at	ADP
easat-10155	37	21	spherical	spherical	ADJ
easat-10155	37	22	electrodes	electrode	NOUN
easat-10155	37	23	.	.	PUNCT
easat-10155	38	1	2	2	X
easat-10155	38	2	.	.	X
easat-10155	38	3	mathematical	mathematical	ADJ
easat-10155	38	4	formulation	formulation	NOUN
easat-10155	38	5	the	the	DET
easat-10155	38	6	catalytic	catalytic	ADJ
easat-10155	38	7	reaction	reaction	NOUN
easat-10155	38	8	scheme	scheme	NOUN
easat-10155	38	9	for	for	ADP
easat-10155	38	10	second	second	ADJ
easat-10155	38	11	-	-	PUNCT
easat-10155	38	12	order	order	NOUN
easat-10155	38	13	regeneration	regeneration	NOUN
easat-10155	38	14	reaction	reaction	NOUN
easat-10155	38	15	at	at	ADP
easat-10155	38	16	spherical	spherical	ADJ
easat-10155	38	17	electrodes	electrode	NOUN
easat-10155	38	18	can	can	AUX
easat-10155	38	19	be	be	AUX
easat-10155	38	20	written	write	VERB
easat-10155	38	21	as	as	SCONJ
easat-10155	38	22	follows	follow	VERB
easat-10155	38	23	:	:	PUNCT
easat-10155	39	1	𝑂	𝑂	PROPN
easat-10155	39	2	+	+	CCONJ
easat-10155	39	3	𝑛𝑒	𝑛𝑒	VERB
easat-10155	39	4	⇄	⇄	NOUN
easat-10155	39	5	𝑅	𝑅	PROPN
easat-10155	39	6	2𝑅	2𝑅	PROPN
easat-10155	40	1	𝑘	𝑘	X
easat-10155	40	2	→	→	SYM
easat-10155	40	3	𝑂	𝑂	PROPN
easat-10155	40	4	+	+	CCONJ
easat-10155	40	5	𝑍	𝑍	VERB
easat-10155	40	6	the	the	DET
easat-10155	40	7	reaction	reaction	NOUN
easat-10155	40	8	procedure	procedure	NOUN
easat-10155	40	9	for	for	ADP
easat-10155	40	10	the	the	DET
easat-10155	40	11	second	second	ADJ
easat-10155	40	12	-	-	PUNCT
easat-10155	40	13	order	order	NOUN
easat-10155	40	14	regeneration	regeneration	NOUN
easat-10155	40	15	process	process	NOUN
easat-10155	40	16	is	be	AUX
easat-10155	40	17	shown	show	VERB
easat-10155	40	18	in	in	ADP
easat-10155	40	19	figure	figure	NOUN
easat-10155	40	20	1	1	NUM
easat-10155	40	21	.	.	PUNCT
easat-10155	40	22	figure	figure	NOUN
easat-10155	40	23	1	1	NUM
easat-10155	40	24	.	.	PUNCT
easat-10155	41	1	the	the	DET
easat-10155	41	2	reaction	reaction	NOUN
easat-10155	41	3	scheme	scheme	NOUN
easat-10155	41	4	for	for	ADP
easat-10155	41	5	second	second	ADJ
easat-10155	41	6	-	-	PUNCT
easat-10155	41	7	order	order	NOUN
easat-10155	41	8	regeneration	regeneration	NOUN
easat-10155	41	9	reaction	reaction	NOUN
easat-10155	41	10	.	.	PUNCT
easat-10155	42	1	1473	1473	NUM
easat-10155	42	2	edelweiss	edelweiss	PROPN
easat-10155	42	3	applied	apply	VERB
easat-10155	42	4	science	science	NOUN
easat-10155	42	5	and	and	CCONJ
easat-10155	42	6	technology	technology	NOUN
easat-10155	42	7	issn	issn	PROPN
easat-10155	42	8	:	:	PUNCT
easat-10155	42	9	2576	2576	NUM
easat-10155	42	10	-	-	SYM
easat-10155	42	11	8484	8484	NUM
easat-10155	42	12	vol	vol	NOUN
easat-10155	42	13	.	.	PROPN
easat-10155	43	1	9	9	NUM
easat-10155	43	2	,	,	PUNCT
easat-10155	43	3	no	no	INTJ
easat-10155	43	4	.	.	NOUN
easat-10155	43	5	9	9	NUM
easat-10155	43	6	:	:	SYM
easat-10155	43	7	1471	1471	NUM
easat-10155	43	8	-	-	SYM
easat-10155	43	9	1483	1483	NUM
easat-10155	43	10	,	,	PUNCT
easat-10155	43	11	2025	2025	NUM
easat-10155	43	12	doi	doi	NOUN
easat-10155	43	13	:	:	PUNCT
easat-10155	43	14	10.55214/2576	10.55214/2576	NUM
easat-10155	43	15	-	-	SYM
easat-10155	43	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	43	17	©	©	ADP
easat-10155	43	18	2025	2025	NUM
easat-10155	43	19	by	by	ADP
easat-10155	43	20	the	the	DET
easat-10155	43	21	authors	author	NOUN
easat-10155	43	22	;	;	PUNCT
easat-10155	43	23	licensee	licensee	PROPN
easat-10155	43	24	learning	learning	NOUN
easat-10155	43	25	gate	gate	VERB
easat-10155	43	26	the	the	DET
easat-10155	43	27	nonlinear	nonlinear	ADJ
easat-10155	43	28	initial	initial	ADJ
easat-10155	43	29	–	–	PUNCT
easat-10155	43	30	boundary	boundary	ADJ
easat-10155	43	31	value	value	NOUN
easat-10155	43	32	problem	problem	NOUN
easat-10155	43	33	describing	describe	VERB
easat-10155	43	34	a	a	DET
easat-10155	43	35	second	second	ADJ
easat-10155	43	36	-	-	PUNCT
easat-10155	43	37	order	order	NOUN
easat-10155	43	38	regeneration	regeneration	NOUN
easat-10155	43	39	reaction	reaction	NOUN
easat-10155	43	40	at	at	ADP
easat-10155	43	41	spherical	spherical	ADJ
easat-10155	43	42	electrodes	electrode	NOUN
easat-10155	43	43	can	can	AUX
easat-10155	43	44	be	be	AUX
easat-10155	43	45	expressed	express	VERB
easat-10155	43	46	in	in	ADP
easat-10155	43	47	dimensional	dimensional	ADJ
easat-10155	43	48	form	form	NOUN
easat-10155	43	49	as	as	ADP
easat-10155	43	50	[	[	X
easat-10155	43	51	4	4	NUM
easat-10155	43	52	]	]	PUNCT
easat-10155	43	53	:	:	PUNCT
easat-10155	43	54	𝜕𝐶0(𝑟,𝑡	𝜕𝐶0(𝑟,𝑡	X
easat-10155	43	55	)	)	PUNCT
easat-10155	43	56	𝜕𝑡	𝜕𝑡	NOUN
easat-10155	43	57	=	=	SYM
easat-10155	43	58	𝐷0	𝐷0	PROPN
easat-10155	43	59	[	[	PUNCT
easat-10155	43	60	𝜕2𝐶0(𝑟,𝑡	𝜕2𝐶0(𝑟,𝑡	NOUN
easat-10155	43	61	)	)	PUNCT
easat-10155	43	62	𝜕𝑟2	𝜕𝑟2	NOUN
easat-10155	43	63	+	+	CCONJ
easat-10155	43	64	2	2	NUM
easat-10155	43	65	𝑟	𝑟	NOUN
easat-10155	43	66	𝜕𝐶0(𝑟,𝑡	𝜕𝐶0(𝑟,𝑡	NOUN
easat-10155	43	67	)	)	PUNCT
easat-10155	43	68	𝜕𝑟	𝜕𝑟	PUNCT
easat-10155	43	69	]	]	PUNCT
easat-10155	44	1	+	+	CCONJ
easat-10155	44	2	𝑘𝐶𝑅	𝑘𝐶𝑅	NOUN
easat-10155	44	3	2(𝑟,𝑡	2(𝑟,𝑡	NUM
easat-10155	44	4	)	)	PUNCT
easat-10155	44	5	2	2	NUM
easat-10155	44	6	,	,	PUNCT
easat-10155	44	7	(	(	PUNCT
easat-10155	44	8	1	1	NUM
easat-10155	44	9	)	)	PUNCT
easat-10155	44	10	𝜕𝐶𝑅(𝑟,𝑡	𝜕𝐶𝑅(𝑟,𝑡	ADJ
easat-10155	44	11	)	)	PUNCT
easat-10155	45	1	𝜕𝑡	𝜕𝑡	NOUN
easat-10155	45	2	=	=	SYM
easat-10155	45	3	𝐷𝑅	𝐷𝑅	PROPN
easat-10155	45	4	[	[	PUNCT
easat-10155	45	5	𝜕2𝐶𝑅(𝑟,𝑡	𝜕2𝐶𝑅(𝑟,𝑡	NOUN
easat-10155	45	6	)	)	PUNCT
easat-10155	45	7	𝜕𝑟2	𝜕𝑟2	NOUN
easat-10155	45	8	+	+	CCONJ
easat-10155	45	9	2	2	NUM
easat-10155	45	10	𝑟	𝑟	NOUN
easat-10155	45	11	𝜕𝐶𝑅(𝑟,𝑡	𝜕𝐶𝑅(𝑟,𝑡	ADV
easat-10155	45	12	)	)	PUNCT
easat-10155	45	13	𝜕𝑟	𝜕𝑟	PUNCT
easat-10155	45	14	]	]	PUNCT
easat-10155	45	15	−	−	PROPN
easat-10155	45	16	𝑘𝐶𝑅	𝑘𝐶𝑅	NOUN
easat-10155	45	17	2(𝑟	2(𝑟	NUM
easat-10155	45	18	,	,	PUNCT
easat-10155	45	19	𝑡	𝑡	NOUN
easat-10155	45	20	)	)	PUNCT
easat-10155	45	21	.	.	PUNCT
easat-10155	46	1	(	(	PUNCT
easat-10155	46	2	2	2	X
easat-10155	46	3	)	)	PUNCT
easat-10155	46	4	the	the	DET
easat-10155	46	5	corresponding	corresponding	ADJ
easat-10155	46	6	initial	initial	ADJ
easat-10155	46	7	and	and	CCONJ
easat-10155	46	8	boundary	boundary	ADJ
easat-10155	46	9	conditions	condition	NOUN
easat-10155	46	10	are	be	AUX
easat-10155	46	11	:	:	PUNCT
easat-10155	46	12	at	at	ADP
easat-10155	46	13	𝑡	𝑡	NOUN
easat-10155	46	14	=	=	SYM
easat-10155	46	15	0	0	NUM
easat-10155	46	16	,	,	PUNCT
easat-10155	46	17	𝑟	𝑟	PRON
easat-10155	46	18	≥	≥	X
easat-10155	46	19	𝑟𝑜	𝑟𝑜	PROPN
easat-10155	46	20	,	,	PUNCT
easat-10155	46	21	𝐶0	𝐶0	PROPN
easat-10155	46	22	=	=	PUNCT
easat-10155	46	23	𝐶0	𝐶0	NOUN
easat-10155	46	24	∗	∗	NOUN
easat-10155	46	25	,	,	PUNCT
easat-10155	46	26	and	and	CCONJ
easat-10155	46	27	𝐶𝑅	𝐶𝑅	PROPN
easat-10155	46	28	=	=	SYM
easat-10155	46	29	0	0	NUM
easat-10155	46	30	.	.	PUNCT
easat-10155	47	1	(	(	PUNCT
easat-10155	47	2	3	3	X
easat-10155	47	3	)	)	PUNCT
easat-10155	47	4	at	at	ADP
easat-10155	47	5	𝑟	𝑟	NOUN
easat-10155	47	6	=	=	SYM
easat-10155	47	7	𝑟𝑜	𝑟𝑜	PROPN
easat-10155	47	8	,	,	PUNCT
easat-10155	47	9	𝐶0	𝐶0	PROPN
easat-10155	47	10	=	=	SYM
easat-10155	47	11	0	0	NUM
easat-10155	47	12	,	,	PUNCT
easat-10155	47	13	and	and	CCONJ
easat-10155	47	14	𝐷0	𝐷0	PROPN
easat-10155	47	15	𝜕𝐶0(𝑟𝑜,𝑡	𝜕𝐶0(𝑟𝑜,𝑡	PROPN
easat-10155	47	16	)	)	PUNCT
easat-10155	47	17	𝜕𝑟	𝜕𝑟	PROPN
easat-10155	47	18	=	=	SYM
easat-10155	47	19	−𝐷𝑅	−𝐷𝑅	PROPN
easat-10155	47	20	𝜕𝐶𝑅(𝑟𝑜,𝑡	𝜕𝐶𝑅(𝑟𝑜,𝑡	PROPN
easat-10155	47	21	)	)	PUNCT
easat-10155	47	22	𝜕𝑟	𝜕𝑟	NOUN
easat-10155	47	23	.	.	PUNCT
easat-10155	48	1	(	(	PUNCT
easat-10155	48	2	4	4	X
easat-10155	48	3	)	)	PUNCT
easat-10155	48	4	at	at	ADP
easat-10155	48	5	𝑟	𝑟	NOUN
easat-10155	48	6	=	=	SYM
easat-10155	48	7	∞	∞	PROPN
easat-10155	48	8	,	,	PUNCT
easat-10155	48	9	𝐶0	𝐶0	PROPN
easat-10155	48	10	=	=	PUNCT
easat-10155	48	11	𝐶0	𝐶0	NOUN
easat-10155	48	12	∗	∗	NOUN
easat-10155	48	13	,	,	PUNCT
easat-10155	48	14	and	and	CCONJ
easat-10155	48	15	𝐶𝑅	𝐶𝑅	PROPN
easat-10155	48	16	=	=	SYM
easat-10155	48	17	0	0	NUM
easat-10155	48	18	.	.	PUNCT
easat-10155	49	1	(	(	PUNCT
easat-10155	49	2	5	5	X
easat-10155	49	3	)	)	PUNCT
easat-10155	49	4	the	the	DET
easat-10155	49	5	current	current	NOUN
easat-10155	49	6	is	be	AUX
easat-10155	49	7	defined	define	VERB
easat-10155	49	8	as	as	ADP
easat-10155	49	9	:	:	PUNCT
easat-10155	49	10	𝑖(𝑡	𝑖(𝑡	NUM
easat-10155	49	11	)	)	PUNCT
easat-10155	50	1	𝑛𝐹𝐴	𝑛𝐹𝐴	NOUN
easat-10155	50	2	=	=	PUNCT
easat-10155	51	1	𝐷𝑅	𝐷𝑅	PROPN
easat-10155	51	2	𝜕𝐶𝑅(𝑟𝑜,𝑡	𝜕𝐶𝑅(𝑟𝑜,𝑡	ADP
easat-10155	51	3	)	)	PUNCT
easat-10155	51	4	𝜕𝑟	𝜕𝑟	PUNCT
easat-10155	51	5	.	.	PUNCT
easat-10155	52	1	(	(	PUNCT
easat-10155	52	2	6	6	X
easat-10155	52	3	)	)	PUNCT
easat-10155	52	4	introducing	introduce	VERB
easat-10155	52	5	the	the	DET
easat-10155	52	6	transformation	transformation	NOUN
easat-10155	52	7	ψ(r	ψ(r	PROPN
easat-10155	52	8	,	,	PUNCT
easat-10155	52	9	t	t	PROPN
easat-10155	52	10	)	)	PUNCT
easat-10155	52	11	=	=	SYM
easat-10155	52	12	2𝐶0(𝑟	2𝐶0(𝑟	NUM
easat-10155	52	13	,	,	PUNCT
easat-10155	52	14	𝑡	𝑡	NOUN
easat-10155	52	15	)	)	PUNCT
easat-10155	52	16	+	+	CCONJ
easat-10155	52	17	𝐶𝑅(𝑟	𝐶𝑅(𝑟	NOUN
easat-10155	52	18	,	,	PUNCT
easat-10155	52	19	𝑡	𝑡	NOUN
easat-10155	52	20	)	)	PUNCT
easat-10155	52	21	and	and	CCONJ
easat-10155	52	22	assuming	assume	VERB
easat-10155	52	23	equal	equal	ADJ
easat-10155	52	24	diffusion	diffusion	NOUN
easat-10155	52	25	coefficients	coefficient	NOUN
easat-10155	52	26	𝐷0	𝐷0	NOUN
easat-10155	52	27	=	=	PUNCT
easat-10155	52	28	𝐷𝑅	𝐷𝑅	PROPN
easat-10155	52	29	=	=	PUNCT
easat-10155	52	30	𝐷equations	𝐷equation	NOUN
easat-10155	52	31	(	(	PUNCT
easat-10155	52	32	1)–(2	1)–(2	NUM
easat-10155	52	33	)	)	PUNCT
easat-10155	52	34	reduce	reduce	VERB
easat-10155	52	35	to	to	ADP
easat-10155	52	36	:	:	PUNCT
easat-10155	52	37	𝜕𝜓(𝑟,𝑡	𝜕𝜓(𝑟,𝑡	X
easat-10155	52	38	)	)	PUNCT
easat-10155	53	1	𝜕𝑡	𝜕𝑡	NOUN
easat-10155	53	2	=	=	PROPN
easat-10155	53	3	𝐷	𝐷	PROPN
easat-10155	53	4	[	[	PUNCT
easat-10155	53	5	𝜕2𝜓(𝑟,𝑡	𝜕2𝜓(𝑟,𝑡	NOUN
easat-10155	53	6	)	)	PUNCT
easat-10155	53	7	𝜕𝑟2	𝜕𝑟2	NOUN
easat-10155	53	8	+	+	CCONJ
easat-10155	53	9	2	2	NUM
easat-10155	53	10	𝑟	𝑟	NOUN
easat-10155	53	11	𝜕𝜓(𝑟,𝑡	𝜕𝜓(𝑟,𝑡	X
easat-10155	53	12	)	)	PUNCT
easat-10155	53	13	𝜕𝑟	𝜕𝑟	CCONJ
easat-10155	53	14	]	]	PUNCT
easat-10155	53	15	,	,	PUNCT
easat-10155	53	16	(	(	PUNCT
easat-10155	53	17	7	7	NUM
easat-10155	53	18	)	)	PUNCT
easat-10155	53	19	𝜕𝐶𝑅(𝑟,𝑡	𝜕𝐶𝑅(𝑟,𝑡	ADJ
easat-10155	53	20	)	)	PUNCT
easat-10155	53	21	𝜕𝑡	𝜕𝑡	PROPN
easat-10155	53	22	=	=	PROPN
easat-10155	53	23	𝐷	𝐷	PROPN
easat-10155	53	24	[	[	PUNCT
easat-10155	53	25	𝜕2𝐶𝑅(𝑟,𝑡	𝜕2𝐶𝑅(𝑟,𝑡	NOUN
easat-10155	53	26	)	)	PUNCT
easat-10155	53	27	𝜕𝑟2	𝜕𝑟2	NOUN
easat-10155	53	28	+	+	CCONJ
easat-10155	53	29	2	2	NUM
easat-10155	53	30	𝑟	𝑟	NOUN
easat-10155	53	31	𝜕𝐶𝑅(𝑟,𝑡	𝜕𝐶𝑅(𝑟,𝑡	ADV
easat-10155	53	32	)	)	PUNCT
easat-10155	53	33	𝜕𝑟	𝜕𝑟	PUNCT
easat-10155	53	34	]	]	PUNCT
easat-10155	53	35	−	−	PROPN
easat-10155	53	36	𝑘𝐶𝑅	𝑘𝐶𝑅	NOUN
easat-10155	53	37	2(𝑟	2(𝑟	NUM
easat-10155	53	38	,	,	PUNCT
easat-10155	53	39	𝑡	𝑡	NOUN
easat-10155	53	40	)	)	PUNCT
easat-10155	53	41	.	.	PUNCT
easat-10155	54	1	(	(	PUNCT
easat-10155	54	2	8)	8)	NUM
easat-10155	54	3	the	the	DET
easat-10155	54	4	revised	revised	ADJ
easat-10155	54	5	initial	initial	ADJ
easat-10155	54	6	and	and	CCONJ
easat-10155	54	7	boundary	boundary	ADJ
easat-10155	54	8	conditions	condition	NOUN
easat-10155	54	9	become	become	VERB
easat-10155	54	10	:	:	PUNCT
easat-10155	54	11	at	at	ADP
easat-10155	54	12	𝑡	𝑡	NOUN
easat-10155	54	13	=	=	SYM
easat-10155	54	14	0	0	NUM
easat-10155	54	15	,	,	PUNCT
easat-10155	54	16	𝑟	𝑟	PRON
easat-10155	54	17	≥	≥	X
easat-10155	54	18	𝑟𝑜	𝑟𝑜	PROPN
easat-10155	54	19	,	,	PUNCT
easat-10155	54	20	ψ(𝑟	ψ(𝑟	NOUN
easat-10155	54	21	,	,	PUNCT
easat-10155	54	22	0	0	NUM
easat-10155	54	23	)	)	PUNCT
easat-10155	54	24	=	=	SYM
easat-10155	55	1	2co	2co	NOUN
easat-10155	55	2	∗	∗	NOUN
easat-10155	55	3	,	,	PUNCT
easat-10155	55	4	and	and	CCONJ
easat-10155	55	5	𝐶𝑅(𝑟	𝐶𝑅(𝑟	NOUN
easat-10155	55	6	,	,	PUNCT
easat-10155	55	7	0	0	NUM
easat-10155	55	8	)	)	PUNCT
easat-10155	55	9	=	=	SYM
easat-10155	55	10	0	0	X
easat-10155	55	11	.	.	PUNCT
easat-10155	55	12	(	(	PUNCT
easat-10155	55	13	9	9	NUM
easat-10155	55	14	)	)	PUNCT
easat-10155	55	15	at	at	ADP
easat-10155	55	16	𝑟	𝑟	NOUN
easat-10155	55	17	=	=	SYM
easat-10155	55	18	𝑟𝑜	𝑟𝑜	PROPN
easat-10155	55	19	,	,	PUNCT
easat-10155	55	20	ψ(𝑟𝑜,𝑡	ψ(𝑟𝑜,𝑡	PROPN
easat-10155	55	21	)	)	PUNCT
easat-10155	55	22	=	=	PUNCT
easat-10155	56	1	𝐶𝑅(𝑟𝑜	𝐶𝑅(𝑟𝑜	PROPN
easat-10155	56	2	,	,	PUNCT
easat-10155	56	3	𝑡	𝑡	NOUN
easat-10155	56	4	)	)	PUNCT
easat-10155	56	5	,	,	PUNCT
easat-10155	56	6	and	and	CCONJ
easat-10155	56	7	𝜕𝜓(𝑟𝑜,𝑡	𝜕𝜓(𝑟𝑜,𝑡	NUM
easat-10155	56	8	)	)	PUNCT
easat-10155	57	1	𝜕𝑟	𝜕𝑟	NOUN
easat-10155	58	1	=	=	SYM
easat-10155	58	2	−	−	PROPN
easat-10155	58	3	𝜕𝐶𝑅(𝑟𝑜,𝑡	𝜕𝐶𝑅(𝑟𝑜,𝑡	NUM
easat-10155	58	4	)	)	PUNCT
easat-10155	58	5	𝜕𝑟	𝜕𝑟	NOUN
easat-10155	58	6	.	.	PUNCT
easat-10155	59	1	(	(	PUNCT
easat-10155	59	2	10	10	NUM
easat-10155	59	3	)	)	PUNCT
easat-10155	59	4	at𝑟	at𝑟	NOUN
easat-10155	60	1	=	=	SYM
easat-10155	60	2	∞	∞	PROPN
easat-10155	60	3	,	,	PUNCT
easat-10155	60	4	ψ(∞	ψ(∞	NOUN
easat-10155	60	5	,	,	PUNCT
easat-10155	60	6	𝑡	𝑡	NOUN
easat-10155	60	7	)	)	PUNCT
easat-10155	60	8	=	=	SYM
easat-10155	60	9	2co	2co	NOUN
easat-10155	60	10	∗	∗	NOUN
easat-10155	60	11	,	,	PUNCT
easat-10155	60	12	and	and	CCONJ
easat-10155	60	13	𝐶𝑅(∞	𝐶𝑅(∞	PROPN
easat-10155	60	14	,	,	PUNCT
easat-10155	60	15	𝑡	𝑡	PROPN
easat-10155	60	16	)	)	PUNCT
easat-10155	60	17	=	=	SYM
easat-10155	60	18	0	0	X
easat-10155	60	19	.	.	PUNCT
easat-10155	61	1	(	(	PUNCT
easat-10155	61	2	11	11	NUM
easat-10155	61	3	)	)	PUNCT
easat-10155	61	4	the	the	DET
easat-10155	61	5	dimensional	dimensional	ADJ
easat-10155	61	6	current	current	ADJ
easat-10155	61	7	expression	expression	NOUN
easat-10155	61	8	becomes	become	VERB
easat-10155	61	9	[	[	PUNCT
easat-10155	61	10	𝑖(𝑡	𝑖(𝑡	PROPN
easat-10155	61	11	)	)	PUNCT
easat-10155	61	12	𝑛𝐹𝐴𝐷	𝑛𝐹𝐴𝐷	VERB
easat-10155	61	13	]	]	PUNCT
easat-10155	62	1	=	=	PUNCT
easat-10155	62	2	[	[	PUNCT
easat-10155	62	3	𝜕𝐶𝑅	𝜕𝐶𝑅	NOUN
easat-10155	62	4	𝜕𝑟	𝜕𝑟	PROPN
easat-10155	62	5	]	]	PUNCT
easat-10155	62	6	𝑟=	𝑟=	X
easat-10155	62	7	𝑟0	𝑟0	PROPN
easat-10155	62	8	.	.	PUNCT
easat-10155	63	1	(	(	PUNCT
easat-10155	63	2	12	12	X
easat-10155	63	3	)	)	PUNCT
easat-10155	63	4	introducing	introduce	VERB
easat-10155	63	5	the	the	DET
easat-10155	63	6	dimensionless	dimensionless	NOUN
easat-10155	63	7	variables	variable	NOUN
easat-10155	63	8	:	:	PUNCT
easat-10155	63	9	𝜌	𝜌	PART
easat-10155	63	10	=	=	SYM
easat-10155	63	11	𝑟	𝑟	X
easat-10155	63	12	𝑟𝑜	𝑟𝑜	INTJ
easat-10155	63	13	,	,	PUNCT
easat-10155	63	14	𝑇	𝑇	PROPN
easat-10155	63	15	=	=	SYM
easat-10155	63	16	𝐷𝑡	𝐷𝑡	PROPN
easat-10155	63	17	𝑟𝑜	𝑟𝑜	ADP
easat-10155	63	18	2	2	NUM
easat-10155	63	19	,	,	PUNCT
easat-10155	63	20	𝑈	𝑈	PROPN
easat-10155	63	21	=	=	SYM
easat-10155	64	1	ψ	ψ	X
easat-10155	64	2	2co	2co	ADJ
easat-10155	64	3	∗	∗	NOUN
easat-10155	64	4	,	,	PUNCT
easat-10155	64	5	𝑉	𝑉	PROPN
easat-10155	64	6	=	=	SYM
easat-10155	64	7	𝐶𝑅	𝐶𝑅	PROPN
easat-10155	64	8	2co	2co	ADJ
easat-10155	64	9	∗	∗	NOUN
easat-10155	64	10	,	,	PUNCT
easat-10155	64	11	𝑚	𝑚	X
easat-10155	64	12	=	=	SYM
easat-10155	64	13	(	(	PUNCT
easat-10155	64	14	2co	2co	ADJ
easat-10155	64	15	∗𝑘)(𝑟𝑜)2	∗𝑘)(𝑟𝑜)2	PROPN
easat-10155	64	16	𝐷	𝐷	PROPN
easat-10155	64	17	.	.	PUNCT
easat-10155	65	1	(	(	PUNCT
easat-10155	65	2	13	13	NUM
easat-10155	65	3	)	)	PUNCT
easat-10155	65	4	the	the	DET
easat-10155	65	5	governing	govern	VERB
easat-10155	65	6	equations	equation	NOUN
easat-10155	65	7	(	(	PUNCT
easat-10155	65	8	7)–(8	7)–(8	X
easat-10155	65	9	)	)	PUNCT
easat-10155	65	10	reduce	reduce	VERB
easat-10155	65	11	to	to	ADP
easat-10155	65	12	the	the	DET
easat-10155	65	13	following	follow	VERB
easat-10155	65	14	non	non	ADJ
easat-10155	65	15	-	-	ADJ
easat-10155	65	16	dimensional	dimensional	ADJ
easat-10155	65	17	form	form	NOUN
easat-10155	65	18	:	:	PUNCT
easat-10155	65	19	𝜕𝑈(𝜌,𝑇	𝜕𝑈(𝜌,𝑇	NOUN
easat-10155	65	20	)	)	PUNCT
easat-10155	65	21	𝜕𝑇	𝜕𝑇	PUNCT
easat-10155	65	22	=	=	PUNCT
easat-10155	65	23	𝜕2𝑈(𝜌,𝑇	𝜕2𝑈(𝜌,𝑇	NOUN
easat-10155	65	24	)	)	PUNCT
easat-10155	65	25	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	65	26	+	+	CCONJ
easat-10155	65	27	2	2	NUM
easat-10155	65	28	𝜌	𝜌	ADP
easat-10155	65	29	𝜕𝑈(𝜌,𝑇	𝜕𝑈(𝜌,𝑇	NOUN
easat-10155	65	30	)	)	PUNCT
easat-10155	65	31	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	65	32	,	,	PUNCT
easat-10155	65	33	(	(	PUNCT
easat-10155	65	34	14	14	NUM
easat-10155	65	35	)	)	PUNCT
easat-10155	65	36	𝜕𝑉(𝜌,𝑇	𝜕𝑉(𝜌,𝑇	NOUN
easat-10155	65	37	)	)	PUNCT
easat-10155	66	1	𝜕𝑇	𝜕𝑇	PUNCT
easat-10155	66	2	=	=	PUNCT
easat-10155	66	3	𝜕2𝑉(𝜌,𝑇	𝜕2𝑉(𝜌,𝑇	NOUN
easat-10155	66	4	)	)	PUNCT
easat-10155	66	5	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	66	6	+	+	CCONJ
easat-10155	66	7	2	2	NUM
easat-10155	66	8	𝜌	𝜌	ADP
easat-10155	66	9	𝜕𝑉(𝜌,𝑇	𝜕𝑉(𝜌,𝑇	NOUN
easat-10155	66	10	)	)	PUNCT
easat-10155	66	11	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	66	12	−	−	PROPN
easat-10155	66	13	𝑚𝑉2(𝜌	𝑚𝑉2(𝜌	NOUN
easat-10155	66	14	,	,	PUNCT
easat-10155	66	15	𝑇	𝑇	PROPN
easat-10155	66	16	)	)	PUNCT
easat-10155	66	17	,	,	PUNCT
easat-10155	66	18	(	(	PUNCT
easat-10155	66	19	15	15	NUM
easat-10155	66	20	)	)	PUNCT
easat-10155	66	21	with	with	ADP
easat-10155	66	22	initial	initial	ADJ
easat-10155	66	23	and	and	CCONJ
easat-10155	66	24	boundary	boundary	ADJ
easat-10155	66	25	conditions	condition	NOUN
easat-10155	66	26	:	:	PUNCT
easat-10155	66	27	𝑈(𝜌	𝑈(𝜌	NOUN
easat-10155	66	28	,	,	PUNCT
easat-10155	66	29	0	0	NUM
easat-10155	66	30	)	)	PUNCT
easat-10155	66	31	=	=	SYM
easat-10155	66	32	1	1	NUM
easat-10155	66	33	,	,	PUNCT
easat-10155	66	34	𝑉(𝜌	𝑉(𝜌	PROPN
easat-10155	66	35	,	,	PUNCT
easat-10155	66	36	0	0	NUM
easat-10155	66	37	)	)	PUNCT
easat-10155	66	38	=	=	SYM
easat-10155	67	1	0	0	X
easat-10155	67	2	.	.	PUNCT
easat-10155	68	1	(	(	PUNCT
easat-10155	68	2	16	16	NUM
easat-10155	68	3	)	)	PUNCT
easat-10155	68	4	𝑈(1	𝑈(1	NUM
easat-10155	68	5	,	,	PUNCT
easat-10155	68	6	𝑇	𝑇	PROPN
easat-10155	68	7	)	)	PUNCT
easat-10155	68	8	=	=	SYM
easat-10155	69	1	𝑈(1	𝑈(1	X
easat-10155	69	2	,	,	PUNCT
easat-10155	69	3	𝑇)and	𝑇)and	NOUN
easat-10155	69	4	𝑈′(1	𝑈′(1	NOUN
easat-10155	69	5	,	,	PUNCT
easat-10155	69	6	𝑇	𝑇	PROPN
easat-10155	69	7	)	)	PUNCT
easat-10155	69	8	=	=	PUNCT
easat-10155	69	9	−𝑉′(1	−𝑉′(1	NOUN
easat-10155	69	10	,	,	PUNCT
easat-10155	69	11	𝑇	𝑇	PROPN
easat-10155	69	12	)	)	PUNCT
easat-10155	69	13	.	.	PUNCT
easat-10155	70	1	(	(	PUNCT
easat-10155	70	2	17	17	NUM
easat-10155	70	3	)	)	PUNCT
easat-10155	70	4	𝑈(∞	𝑈(∞	PROPN
easat-10155	70	5	,	,	PUNCT
easat-10155	70	6	𝑇	𝑇	PROPN
easat-10155	70	7	)	)	PUNCT
easat-10155	70	8	=	=	SYM
easat-10155	70	9	1	1	NUM
easat-10155	70	10	,	,	PUNCT
easat-10155	70	11	𝑉(∞	𝑉(∞	PROPN
easat-10155	70	12	,	,	PUNCT
easat-10155	70	13	𝑇	𝑇	PROPN
easat-10155	70	14	)	)	PUNCT
easat-10155	70	15	=	=	SYM
easat-10155	70	16	0	0	X
easat-10155	70	17	.	.	PUNCT
easat-10155	71	1	(	(	PUNCT
easat-10155	71	2	18	18	NUM
easat-10155	71	3	)	)	PUNCT
easat-10155	71	4	finally	finally	ADV
easat-10155	71	5	,	,	PUNCT
easat-10155	71	6	the	the	DET
easat-10155	71	7	dimensionless	dimensionless	NOUN
easat-10155	71	8	current	current	NOUN
easat-10155	71	9	is	be	AUX
easat-10155	71	10	expressed	express	VERB
easat-10155	71	11	as	as	ADP
easat-10155	71	12	:	:	PUNCT
easat-10155	71	13	[	[	PUNCT
easat-10155	71	14	𝑖(𝑡	𝑖(𝑡	PROPN
easat-10155	71	15	)	)	PUNCT
easat-10155	71	16	𝑛𝐹𝐴𝐷	𝑛𝐹𝐴𝐷	VERB
easat-10155	71	17	]	]	PUNCT
easat-10155	72	1	=	=	X
easat-10155	72	2	[	[	PUNCT
easat-10155	72	3	𝜕𝑉(𝜌,𝑇	𝜕𝑉(𝜌,𝑇	NOUN
easat-10155	72	4	)	)	PUNCT
easat-10155	72	5	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	72	6	]	]	PUNCT
easat-10155	72	7	𝜌=1	𝜌=1	PUNCT
easat-10155	72	8	.	.	PUNCT
easat-10155	73	1	(	(	PUNCT
easat-10155	73	2	19	19	NUM
easat-10155	73	3	)	)	PUNCT
easat-10155	73	4	the	the	DET
easat-10155	73	5	nonlinear	nonlinear	ADJ
easat-10155	73	6	reaction	reaction	NOUN
easat-10155	73	7	–	–	PUNCT
easat-10155	73	8	diffusion	diffusion	NOUN
easat-10155	73	9	equations	equation	NOUN
easat-10155	73	10	modeling	model	VERB
easat-10155	73	11	second	second	ADJ
easat-10155	73	12	-	-	PUNCT
easat-10155	73	13	order	order	NOUN
easat-10155	73	14	regeneration	regeneration	NOUN
easat-10155	73	15	at	at	ADP
easat-10155	73	16	spherical	spherical	ADJ
easat-10155	73	17	microelectrodes	microelectrode	NOUN
easat-10155	73	18	have	have	VERB
easat-10155	73	19	wide	wide	ADV
easat-10155	73	20	scientific	scientific	ADJ
easat-10155	73	21	and	and	CCONJ
easat-10155	73	22	engineering	engineering	NOUN
easat-10155	73	23	applications	application	NOUN
easat-10155	73	24	.	.	PUNCT
easat-10155	74	1	they	they	PRON
easat-10155	74	2	aid	aid	VERB
easat-10155	74	3	in	in	ADP
easat-10155	74	4	optimizing	optimize	VERB
easat-10155	74	5	biosensors	biosensor	NOUN
easat-10155	74	6	,	,	PUNCT
easat-10155	74	7	simulating	simulate	VERB
easat-10155	74	8	enzymatic	enzymatic	ADJ
easat-10155	74	9	processes	process	NOUN
easat-10155	74	10	in	in	ADP
easat-10155	74	11	biofuel	biofuel	NOUN
easat-10155	74	12	cells	cell	NOUN
easat-10155	74	13	,	,	PUNCT
easat-10155	74	14	guiding	guide	VERB
easat-10155	74	15	drug	drug	NOUN
easat-10155	74	16	delivery	delivery	NOUN
easat-10155	74	17	system	system	NOUN
easat-10155	74	18	design	design	NOUN
easat-10155	74	19	,	,	PUNCT
easat-10155	74	20	and	and	CCONJ
easat-10155	74	21	improving	improve	VERB
easat-10155	74	22	electrochemical	electrochemical	ADJ
easat-10155	74	23	interfaces	interface	NOUN
easat-10155	74	24	in	in	ADP
easat-10155	74	25	batteries	battery	NOUN
easat-10155	74	26	and	and	CCONJ
easat-10155	74	27	super	super	ADJ
easat-10155	74	28	capacitors	capacitor	NOUN
easat-10155	74	29	.	.	PUNCT
easat-10155	75	1	this	this	DET
easat-10155	75	2	framework	framework	NOUN
easat-10155	75	3	highlights	highlight	VERB
easat-10155	75	4	the	the	DET
easat-10155	75	5	multidisciplinary	multidisciplinary	ADJ
easat-10155	75	6	importance	importance	NOUN
easat-10155	75	7	of	of	ADP
easat-10155	75	8	coupled	couple	VERB
easat-10155	75	9	diffusion	diffusion	NOUN
easat-10155	75	10	–	–	PUNCT
easat-10155	75	11	reaction	reaction	NOUN
easat-10155	75	12	dynamics	dynamic	NOUN
easat-10155	75	13	near	near	ADP
easat-10155	75	14	curved	curved	ADJ
easat-10155	75	15	reactive	reactive	ADJ
easat-10155	75	16	surfaces	surface	NOUN
easat-10155	75	17	.	.	PUNCT
easat-10155	76	1	1474	1474	NUM
easat-10155	76	2	edelweiss	edelweiss	PROPN
easat-10155	76	3	applied	apply	VERB
easat-10155	76	4	science	science	NOUN
easat-10155	76	5	and	and	CCONJ
easat-10155	76	6	technology	technology	NOUN
easat-10155	76	7	issn	issn	PROPN
easat-10155	76	8	:	:	PUNCT
easat-10155	76	9	2576	2576	NUM
easat-10155	76	10	-	-	SYM
easat-10155	76	11	8484	8484	NUM
easat-10155	76	12	vol	vol	NOUN
easat-10155	76	13	.	.	PROPN
easat-10155	77	1	9	9	NUM
easat-10155	77	2	,	,	PUNCT
easat-10155	77	3	no	no	INTJ
easat-10155	77	4	.	.	NOUN
easat-10155	77	5	9	9	NUM
easat-10155	77	6	:	:	SYM
easat-10155	77	7	1471	1471	NUM
easat-10155	77	8	-	-	SYM
easat-10155	77	9	1483	1483	NUM
easat-10155	77	10	,	,	PUNCT
easat-10155	77	11	2025	2025	NUM
easat-10155	77	12	doi	doi	NOUN
easat-10155	77	13	:	:	PUNCT
easat-10155	77	14	10.55214/2576	10.55214/2576	NUM
easat-10155	77	15	-	-	SYM
easat-10155	77	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	77	17	©	©	ADP
easat-10155	77	18	2025	2025	NUM
easat-10155	77	19	by	by	ADP
easat-10155	77	20	the	the	DET
easat-10155	77	21	authors	author	NOUN
easat-10155	77	22	;	;	PUNCT
easat-10155	77	23	licensee	licensee	PROPN
easat-10155	77	24	learning	learning	NOUN
easat-10155	77	25	gate	gate	NOUN
easat-10155	77	26	3	3	NUM
easat-10155	77	27	.	.	NOUN
easat-10155	77	28	result	result	NOUN
easat-10155	77	29	and	and	CCONJ
easat-10155	77	30	discussion	discussion	NOUN
easat-10155	77	31	3.1	3.1	NUM
easat-10155	77	32	.	.	PUNCT
easat-10155	78	1	solutions	solution	NOUN
easat-10155	78	2	of	of	ADP
easat-10155	78	3	transient	transient	ADJ
easat-10155	78	4	concentrations	concentration	NOUN
easat-10155	78	5	and	and	CCONJ
easat-10155	78	6	current	current	ADJ
easat-10155	78	7	via	via	ADP
easat-10155	78	8	hpm	hpm	ADJ
easat-10155	78	9	numerous	numerous	ADJ
easat-10155	78	10	applied	apply	VERB
easat-10155	78	11	problems	problem	NOUN
easat-10155	78	12	can	can	AUX
easat-10155	78	13	be	be	AUX
easat-10155	78	14	resolved	resolve	VERB
easat-10155	78	15	by	by	ADP
easat-10155	78	16	solving	solve	VERB
easat-10155	78	17	systems	system	NOUN
easat-10155	78	18	of	of	ADP
easat-10155	78	19	nonlinear	nonlinear	ADJ
easat-10155	78	20	equations	equation	NOUN
easat-10155	78	21	.	.	PUNCT
easat-10155	79	1	however	however	ADV
easat-10155	79	2	,	,	PUNCT
easat-10155	79	3	significant	significant	ADJ
easat-10155	79	4	progress	progress	NOUN
easat-10155	79	5	has	have	AUX
easat-10155	79	6	been	be	AUX
easat-10155	79	7	made	make	VERB
easat-10155	79	8	in	in	ADP
easat-10155	79	9	developing	develop	VERB
easat-10155	79	10	accurate	accurate	ADJ
easat-10155	79	11	approximate	approximate	ADJ
easat-10155	79	12	analytical	analytical	ADJ
easat-10155	79	13	techniques	technique	NOUN
easat-10155	79	14	over	over	ADP
easat-10155	79	15	the	the	DET
easat-10155	79	16	last	last	ADJ
easat-10155	79	17	three	three	NUM
easat-10155	79	18	decades	decade	NOUN
easat-10155	79	19	.	.	PUNCT
easat-10155	80	1	among	among	ADP
easat-10155	80	2	the	the	DET
easat-10155	80	3	most	most	ADV
easat-10155	80	4	popular	popular	ADJ
easat-10155	80	5	approaches	approach	NOUN
easat-10155	80	6	are	be	AUX
easat-10155	80	7	the	the	DET
easat-10155	80	8	variation	variation	NOUN
easat-10155	80	9	iteration	iteration	NOUN
easat-10155	80	10	method	method	NOUN
easat-10155	80	11	[	[	X
easat-10155	80	12	14	14	NUM
easat-10155	80	13	]	]	PUNCT
easat-10155	80	14	,	,	PUNCT
easat-10155	80	15	the	the	DET
easat-10155	80	16	hyperbolic	hyperbolic	ADJ
easat-10155	80	17	and	and	CCONJ
easat-10155	80	18	pade	pade	NOUN
easat-10155	80	19	approximation	approximation	NOUN
easat-10155	80	20	[	[	X
easat-10155	80	21	15	15	NUM
easat-10155	80	22	]	]	PUNCT
easat-10155	80	23	,	,	PUNCT
easat-10155	80	24	the	the	DET
easat-10155	80	25	agm	agm	PROPN
easat-10155	80	26	method	method	NOUN
easat-10155	80	27	[	[	X
easat-10155	80	28	16	16	NUM
easat-10155	80	29	]	]	PUNCT
easat-10155	80	30	,	,	PUNCT
easat-10155	80	31	the	the	DET
easat-10155	80	32	adomian	adomian	NOUN
easat-10155	80	33	polynomials	polynomial	VERB
easat-10155	80	34	[	[	X
easat-10155	80	35	17	17	NUM
easat-10155	80	36	]	]	PUNCT
easat-10155	80	37	,	,	PUNCT
easat-10155	80	38	and	and	CCONJ
easat-10155	80	39	tsm	tsm	NOUN
easat-10155	80	40	method	method	NOUN
easat-10155	80	41	[	[	X
easat-10155	80	42	18	18	NUM
easat-10155	80	43	]	]	PUNCT
easat-10155	80	44	.	.	PUNCT
easat-10155	81	1	one	one	NUM
easat-10155	81	2	of	of	ADP
easat-10155	81	3	the	the	DET
easat-10155	81	4	popular	popular	ADJ
easat-10155	81	5	techniques	technique	NOUN
easat-10155	81	6	for	for	ADP
easat-10155	81	7	resolving	resolve	VERB
easat-10155	81	8	nonlinear	nonlinear	ADJ
easat-10155	81	9	differential	differential	ADJ
easat-10155	81	10	equations	equation	NOUN
easat-10155	81	11	is	be	AUX
easat-10155	81	12	hpm	hpm	NOUN
easat-10155	81	13	[	[	X
easat-10155	81	14	19	19	NUM
easat-10155	81	15	,	,	PUNCT
easat-10155	81	16	20	20	NUM
easat-10155	81	17	]	]	PUNCT
easat-10155	81	18	.	.	PUNCT
easat-10155	82	1	the	the	DET
easat-10155	82	2	hpm	hpm	NOUN
easat-10155	82	3	method	method	NOUN
easat-10155	82	4	was	be	AUX
easat-10155	82	5	first	first	ADV
easat-10155	82	6	proposed	propose	VERB
easat-10155	82	7	by	by	ADP
easat-10155	82	8	he	he	PRON
easat-10155	83	1	[	[	X
easat-10155	83	2	21];he	21];he	NUM
easat-10155	84	1	[	[	X
easat-10155	84	2	22];he	22];he	NUM
easat-10155	84	3	[	[	X
easat-10155	84	4	23	23	NUM
easat-10155	84	5	]	]	PUNCT
easat-10155	84	6	and	and	CCONJ
easat-10155	84	7	he	he	PRON
easat-10155	85	1	[	[	X
easat-10155	85	2	24	24	NUM
easat-10155	85	3	]	]	PUNCT
easat-10155	85	4	.	.	PUNCT
easat-10155	86	1	khan	khan	PROPN
easat-10155	86	2	et	et	PROPN
easat-10155	86	3	al	al	PROPN
easat-10155	86	4	.	.	PROPN
easat-10155	86	5	applied	apply	VERB
easat-10155	86	6	the	the	DET
easat-10155	86	7	hpm	hpm	NOUN
easat-10155	86	8	method	method	NOUN
easat-10155	86	9	to	to	PART
easat-10155	86	10	solve	solve	VERB
easat-10155	86	11	the	the	DET
easat-10155	86	12	nonlinear	nonlinear	ADJ
easat-10155	86	13	boundary	boundary	ADJ
easat-10155	86	14	value	value	NOUN
easat-10155	86	15	problems	problem	NOUN
easat-10155	86	16	[	[	X
easat-10155	86	17	25	25	NUM
easat-10155	86	18	,	,	PUNCT
easat-10155	86	19	26	26	NUM
easat-10155	86	20	]	]	PUNCT
easat-10155	86	21	.	.	PUNCT
easat-10155	87	1	the	the	DET
easat-10155	87	2	nonlinear	nonlinear	ADJ
easat-10155	87	3	equation	equation	NOUN
easat-10155	87	4	was	be	AUX
easat-10155	87	5	also	also	ADV
easat-10155	87	6	solved	solve	VERB
easat-10155	87	7	using	use	VERB
easat-10155	87	8	the	the	DET
easat-10155	87	9	numerical	numerical	ADJ
easat-10155	87	10	scheme	scheme	NOUN
easat-10155	87	11	proposed	propose	VERB
easat-10155	87	12	by	by	ADP
easat-10155	87	13	srivastava	srivastava	PROPN
easat-10155	87	14	and	and	CCONJ
easat-10155	87	15	izadi	izadi	NOUN
easat-10155	87	16	[	[	X
easat-10155	87	17	27	27	NUM
easat-10155	87	18	]	]	PUNCT
easat-10155	87	19	and	and	CCONJ
easat-10155	87	20	izadi	izadi	NOUN
easat-10155	87	21	,	,	PUNCT
easat-10155	87	22	et	et	PROPN
easat-10155	87	23	al	al	PROPN
easat-10155	87	24	.	.	PUNCT
easat-10155	88	1	[	[	X
easat-10155	88	2	13	13	NUM
easat-10155	88	3	]	]	PUNCT
easat-10155	88	4	.	.	PUNCT
easat-10155	89	1	recently	recently	ADV
easat-10155	89	2	,	,	PUNCT
easat-10155	89	3	rajendran	rajendran	PROPN
easat-10155	89	4	and	and	CCONJ
easat-10155	89	5	co	co	NOUN
easat-10155	89	6	-	-	NOUN
easat-10155	89	7	workers	worker	NOUN
easat-10155	89	8	solved	solve	VERB
easat-10155	89	9	many	many	ADJ
easat-10155	89	10	nonlinear	nonlinear	ADJ
easat-10155	89	11	issues	issue	NOUN
easat-10155	89	12	in	in	ADP
easat-10155	89	13	physical	physical	ADJ
easat-10155	89	14	and	and	CCONJ
easat-10155	89	15	electrochemical	electrochemical	ADJ
easat-10155	89	16	sciences	science	NOUN
easat-10155	89	17	using	use	VERB
easat-10155	89	18	the	the	DET
easat-10155	89	19	hpm	hpm	NOUN
easat-10155	89	20	method	method	NOUN
easat-10155	89	21	[	[	X
easat-10155	89	22	28	28	NUM
easat-10155	89	23	-	-	SYM
easat-10155	89	24	35	35	NUM
easat-10155	89	25	]	]	PUNCT
easat-10155	89	26	.	.	PUNCT
easat-10155	90	1	the	the	DET
easat-10155	90	2	approximate	approximate	ADJ
easat-10155	90	3	solutions	solution	NOUN
easat-10155	90	4	for	for	ADP
easat-10155	90	5	eq	eq	PROPN
easat-10155	90	6	.	.	PUNCT
easat-10155	91	1	(	(	PUNCT
easat-10155	91	2	14	14	NUM
easat-10155	91	3	)	)	PUNCT
easat-10155	91	4	and	and	CCONJ
easat-10155	91	5	eq	eq	NOUN
easat-10155	91	6	.	.	PUNCT
easat-10155	92	1	(	(	PUNCT
easat-10155	92	2	15	15	NUM
easat-10155	92	3	)	)	PUNCT
easat-10155	92	4	using	use	VERB
easat-10155	92	5	the	the	DET
easat-10155	92	6	homotopy	homotopy	NOUN
easat-10155	92	7	perturbation	perturbation	NOUN
easat-10155	92	8	approach	approach	NOUN
easat-10155	92	9	are	be	AUX
easat-10155	92	10	derived	derive	VERB
easat-10155	92	11	as	as	SCONJ
easat-10155	92	12	follows	follow	VERB
easat-10155	92	13	(	(	PUNCT
easat-10155	92	14	appendix	appendix	NOUN
easat-10155	92	15	-	-	PUNCT
easat-10155	92	16	a	a	NOUN
easat-10155	92	17	):	):	PUNCT
easat-10155	92	18	𝑈(𝜌	𝑈(𝜌	NOUN
easat-10155	92	19	,	,	PUNCT
easat-10155	92	20	𝑇	𝑇	PROPN
easat-10155	92	21	)	)	PUNCT
easat-10155	92	22	=	=	SYM
easat-10155	92	23	1	1	NUM
easat-10155	92	24	−	−	NUM
easat-10155	92	25	1	1	NUM
easat-10155	92	26	2𝜌	2𝜌	NOUN
easat-10155	92	27	(	(	PUNCT
easat-10155	92	28	1	1	NUM
easat-10155	92	29	−	−	PROPN
easat-10155	92	30	𝑒𝑟𝑓	𝑒𝑟𝑓	NOUN
easat-10155	92	31	(	(	PUNCT
easat-10155	92	32	𝜌−1	𝜌−1	PROPN
easat-10155	92	33	2√𝑇	2√𝑇	PROPN
easat-10155	92	34	)	)	PUNCT
easat-10155	92	35	)	)	PUNCT
easat-10155	92	36	,	,	PUNCT
easat-10155	92	37	(	(	PUNCT
easat-10155	92	38	20	20	NUM
easat-10155	92	39	)	)	PUNCT
easat-10155	92	40	𝑉(𝜌	𝑉(𝜌	NUM
easat-10155	92	41	,	,	PUNCT
easat-10155	92	42	𝑇	𝑇	PROPN
easat-10155	92	43	)	)	PUNCT
easat-10155	92	44	=	=	SYM
easat-10155	92	45	1	1	NUM
easat-10155	92	46	2𝜌	2𝜌	NOUN
easat-10155	92	47	(	(	PUNCT
easat-10155	92	48	1	1	NUM
easat-10155	92	49	−	−	PROPN
easat-10155	92	50	𝑒𝑟𝑓	𝑒𝑟𝑓	NOUN
easat-10155	92	51	(	(	PUNCT
easat-10155	92	52	𝜌−1	𝜌−1	PROPN
easat-10155	92	53	2√𝑇	2√𝑇	NUM
easat-10155	92	54	)	)	PUNCT
easat-10155	92	55	)	)	PUNCT
easat-10155	93	1	+	+	CCONJ
easat-10155	93	2	𝑚√𝑇	𝑚√𝑇	PROPN
easat-10155	93	3	𝜌√𝜋	𝜌√𝜋	NOUN
easat-10155	93	4	−	−	PROPN
easat-10155	93	5	𝑚	𝑚	PROPN
easat-10155	93	6	(	(	PUNCT
easat-10155	93	7	1	1	NUM
easat-10155	93	8	𝜌2	𝜌2	ADJ
easat-10155	93	9	(	(	PUNCT
easat-10155	93	10	𝑇	𝑇	PROPN
easat-10155	93	11	4	4	NUM
easat-10155	93	12	+	+	NOUN
easat-10155	93	13	√𝑇	√𝑇	X
easat-10155	93	14	√𝜋	√𝜋	X
easat-10155	93	15	)	)	PUNCT
easat-10155	93	16	)	)	PUNCT
easat-10155	94	1	+	+	CCONJ
easat-10155	94	2	𝑚	𝑚	X
easat-10155	94	3	4𝜌	4𝜌	NUM
easat-10155	94	4	[	[	PUNCT
easat-10155	94	5	(	(	PUNCT
easat-10155	94	6	1−𝜌)2	1−𝜌)2	NOUN
easat-10155	94	7	2	2	NUM
easat-10155	94	8	+	+	CCONJ
easat-10155	94	9	𝑇	𝑇	PROPN
easat-10155	94	10	+	+	CCONJ
easat-10155	94	11	(	(	PUNCT
easat-10155	94	12	𝑇	𝑇	PROPN
easat-10155	94	13	+	+	CCONJ
easat-10155	94	14	(	(	PUNCT
easat-10155	94	15	1−𝜌)2	1−𝜌)2	NOUN
easat-10155	94	16	2	2	NUM
easat-10155	94	17	)	)	PUNCT
easat-10155	94	18	(	(	PUNCT
easat-10155	94	19	𝑒𝑟𝑓	𝑒𝑟𝑓	X
easat-10155	94	20	(	(	PUNCT
easat-10155	94	21	(	(	PUNCT
easat-10155	94	22	1−𝜌	1−𝜌	NUM
easat-10155	94	23	)	)	PUNCT
easat-10155	94	24	2√𝑇	2√𝑇	NUM
easat-10155	94	25	)	)	PUNCT
easat-10155	94	26	)	)	PUNCT
easat-10155	95	1	+	+	CCONJ
easat-10155	95	2	√𝑇(1−𝜌)𝑒	√𝑇(1−𝜌)𝑒	NUM
easat-10155	95	3	−(1−𝜌)2	−(1−𝜌)2	PROPN
easat-10155	95	4	4𝑇	4𝑇	PROPN
easat-10155	95	5	√𝜋	√𝜋	X
easat-10155	95	6	]	]	PUNCT
easat-10155	95	7	.(21	.(21	PUNCT
easat-10155	95	8	)	)	PUNCT
easat-10155	96	1	the	the	DET
easat-10155	96	2	nondimensional	nondimensional	ADJ
easat-10155	96	3	current	current	NOUN
easat-10155	96	4	takes	take	VERB
easat-10155	96	5	the	the	DET
easat-10155	96	6	following	follow	VERB
easat-10155	96	7	form	form	NOUN
easat-10155	96	8	:	:	PUNCT
easat-10155	96	9	i(𝑇	i(𝑇	NOUN
easat-10155	96	10	)	)	PUNCT
easat-10155	97	1	=	=	SYM
easat-10155	97	2	[	[	PUNCT
easat-10155	97	3	𝑖(𝑡	𝑖(𝑡	PROPN
easat-10155	97	4	)	)	PUNCT
easat-10155	97	5	𝑛𝐹𝐴𝐷	𝑛𝐹𝐴𝐷	VERB
easat-10155	97	6	]	]	PUNCT
easat-10155	98	1	=	=	X
easat-10155	98	2	[	[	PUNCT
easat-10155	98	3	𝜕𝑉(𝜌,𝑇	𝜕𝑉(𝜌,𝑇	NOUN
easat-10155	98	4	)	)	PUNCT
easat-10155	98	5	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	98	6	]	]	PUNCT
easat-10155	98	7	𝜌=1	𝜌=1	X
easat-10155	98	8	=|	=|	NOUN
easat-10155	98	9	[	[	PUNCT
easat-10155	98	10	𝑚𝑇	𝑚𝑇	VERB
easat-10155	98	11	4	4	NUM
easat-10155	98	12	+	+	NUM
easat-10155	98	13	𝑚𝑇−1	𝑚𝑇−1	NUM
easat-10155	98	14	2√𝑇√𝜋	2√𝑇√𝜋	NUM
easat-10155	98	15	−	−	NUM
easat-10155	98	16	1	1	NUM
easat-10155	98	17	2	2	NUM
easat-10155	98	18	]	]	PUNCT
easat-10155	98	19	|	|	NOUN
easat-10155	98	20	.	.	PUNCT
easat-10155	99	1	(	(	PUNCT
easat-10155	99	2	22	22	NUM
easat-10155	99	3	)	)	PUNCT
easat-10155	99	4	when	when	SCONJ
easat-10155	99	5	m=0	m=0	PROPN
easat-10155	99	6	we	we	PRON
easat-10155	99	7	get	get	VERB
easat-10155	99	8	i(𝑇	i(𝑇	NOUN
easat-10155	99	9	)	)	PUNCT
easat-10155	100	1	=	=	SYM
easat-10155	100	2	[	[	PUNCT
easat-10155	100	3	𝑖(𝑡	𝑖(𝑡	PROPN
easat-10155	100	4	)	)	PUNCT
easat-10155	100	5	𝑛𝐹𝐴𝐷	𝑛𝐹𝐴𝐷	VERB
easat-10155	100	6	]	]	PUNCT
easat-10155	101	1	=	=	X
easat-10155	101	2	[	[	PUNCT
easat-10155	101	3	𝜕𝑉(𝜌,𝑇	𝜕𝑉(𝜌,𝑇	NOUN
easat-10155	101	4	)	)	PUNCT
easat-10155	101	5	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	101	6	]	]	PUNCT
easat-10155	101	7	𝜌=1	𝜌=1	PUNCT
easat-10155	101	8	=	=	SYM
easat-10155	101	9	1	1	NUM
easat-10155	101	10	2	2	NUM
easat-10155	102	1	[	[	SYM
easat-10155	102	2	1	1	NUM
easat-10155	102	3	+	+	SYM
easat-10155	102	4	1	1	NUM
easat-10155	102	5	√𝜋𝑇	√𝜋𝑇	ADP
easat-10155	102	6	]	]	PUNCT
easat-10155	102	7	.	.	PUNCT
easat-10155	103	1	(	(	PUNCT
easat-10155	103	2	23	23	NUM
easat-10155	103	3	)	)	PUNCT
easat-10155	103	4	this	this	DET
easat-10155	103	5	expression	expression	NOUN
easat-10155	103	6	describes	describe	VERB
easat-10155	103	7	the	the	DET
easat-10155	103	8	limiting	limit	VERB
easat-10155	103	9	diffusion	diffusion	NOUN
easat-10155	103	10	current	current	NOUN
easat-10155	103	11	typically	typically	ADV
easat-10155	103	12	observed	observe	VERB
easat-10155	103	13	under	under	ADP
easat-10155	103	14	semi	semi	ADJ
easat-10155	103	15	-	-	ADJ
easat-10155	103	16	infinite	infinite	ADJ
easat-10155	103	17	spherical	spherical	ADJ
easat-10155	103	18	diffusion	diffusion	NOUN
easat-10155	103	19	when	when	SCONJ
easat-10155	103	20	a	a	DET
easat-10155	103	21	potential	potential	ADJ
easat-10155	103	22	step	step	NOUN
easat-10155	103	23	is	be	AUX
easat-10155	103	24	applied	apply	VERB
easat-10155	103	25	.	.	PUNCT
easat-10155	104	1	3.2	3.2	NUM
easat-10155	104	2	.	.	PUNCT
easat-10155	105	1	validation	validation	NOUN
easat-10155	105	2	of	of	ADP
easat-10155	105	3	the	the	DET
easat-10155	105	4	model	model	NOUN
easat-10155	105	5	numerical	numerical	PROPN
easat-10155	105	6	techniques	technique	NOUN
easat-10155	105	7	are	be	AUX
easat-10155	105	8	utilized	utilize	VERB
easat-10155	105	9	to	to	PART
easat-10155	105	10	solve	solve	VERB
easat-10155	105	11	the	the	DET
easat-10155	105	12	nonlinear	nonlinear	ADJ
easat-10155	105	13	differential	differential	ADJ
easat-10155	105	14	equations	equation	NOUN
easat-10155	105	15	(	(	PUNCT
easat-10155	105	16	14	14	NUM
easat-10155	105	17	)	)	PUNCT
easat-10155	105	18	and	and	CCONJ
easat-10155	105	19	(	(	PUNCT
easat-10155	105	20	15	15	NUM
easat-10155	105	21	)	)	PUNCT
easat-10155	105	22	.	.	PUNCT
easat-10155	106	1	this	this	DET
easat-10155	106	2	equation	equation	NOUN
easat-10155	106	3	is	be	AUX
easat-10155	106	4	solved	solve	VERB
easat-10155	106	5	using	use	VERB
easat-10155	106	6	the	the	DET
easat-10155	106	7	scilab	scilab	PROPN
easat-10155	106	8	software	software	NOUN
easat-10155	106	9	pdex4	pdex4	X
easat-10155	106	10	function	function	NOUN
easat-10155	106	11	,	,	PUNCT
easat-10155	106	12	which	which	PRON
easat-10155	106	13	resolves	resolve	VERB
easat-10155	106	14	initial	initial	ADJ
easat-10155	106	15	-	-	PUNCT
easat-10155	106	16	boundary	boundary	NOUN
easat-10155	106	17	value	value	NOUN
easat-10155	106	18	issues	issue	NOUN
easat-10155	106	19	for	for	ADP
easat-10155	106	20	pde	pde	NOUN
easat-10155	106	21	.	.	PUNCT
easat-10155	107	1	table	table	NOUN
easat-10155	107	2	1	1	NUM
easat-10155	107	3	and	and	CCONJ
easat-10155	107	4	tables	table	NOUN
easat-10155	107	5	2a	2a	NUM
easat-10155	107	6	and	and	CCONJ
easat-10155	107	7	2b	2b	NOUN
easat-10155	107	8	compare	compare	VERB
easat-10155	107	9	its	its	PRON
easat-10155	107	10	numerical	numerical	ADJ
easat-10155	107	11	result	result	NOUN
easat-10155	107	12	with	with	ADP
easat-10155	107	13	the	the	DET
easat-10155	107	14	hpm	hpm	ADJ
easat-10155	107	15	method	method	NOUN
easat-10155	107	16	of	of	ADP
easat-10155	107	17	the	the	DET
easat-10155	107	18	dimensionless	dimensionless	NOUN
easat-10155	107	19	concentration	concentration	NOUN
easat-10155	107	20	of	of	ADP
easat-10155	107	21	𝑈	𝑈	PROPN
easat-10155	107	22	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
easat-10155	107	23	𝑉	𝑉	PROPN
easat-10155	107	24	for	for	ADP
easat-10155	107	25	various	various	ADJ
easat-10155	107	26	values	value	NOUN
easat-10155	107	27	of	of	ADP
easat-10155	107	28	dimensionless	dimensionless	ADJ
easat-10155	107	29	time	time	NOUN
easat-10155	107	30	𝑇	𝑇	PROPN
easat-10155	107	31	,	,	PUNCT
easat-10155	107	32	respectively	respectively	ADV
easat-10155	107	33	,	,	PUNCT
easat-10155	107	34	for	for	ADP
easat-10155	107	35	fixing	fix	VERB
easat-10155	107	36	the	the	DET
easat-10155	107	37	parameter	parameter	NOUN
easat-10155	107	38	value	value	NOUN
easat-10155	107	39	𝑚.	𝑚.	ADV
easat-10155	107	40	this	this	DET
easat-10155	107	41	tables	table	NOUN
easat-10155	107	42	clearly	clearly	ADV
easat-10155	107	43	shows	show	VERB
easat-10155	107	44	that𝑈	that𝑈	PROPN
easat-10155	107	45	≈	≈	PROPN
easat-10155	107	46	1	1	NUM
easat-10155	107	47	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
easat-10155	107	48	𝑉	𝑉	PROPN
easat-10155	107	49	≈	≈	PROPN
easat-10155	107	50	0when	0when	PROPN
easat-10155	107	51	𝑇	𝑇	PROPN
easat-10155	107	52	≥	≥	PRON
easat-10155	107	53	10	10	NUM
easat-10155	107	54	and	and	CCONJ
easat-10155	107	55	𝜌	𝜌	X
easat-10155	107	56	≥	≥	X
easat-10155	107	57	5	5	NUM
easat-10155	107	58	and	and	CCONJ
easat-10155	107	59	for	for	ADP
easat-10155	107	60	higher	high	ADJ
easat-10155	107	61	values	value	NOUN
easat-10155	107	62	,	,	PUNCT
easat-10155	107	63	the	the	DET
easat-10155	107	64	concentration	concentration	NOUN
easat-10155	107	65	approaches	approach	VERB
easat-10155	107	66	constant	constant	ADJ
easat-10155	107	67	value	value	NOUN
easat-10155	107	68	,	,	PUNCT
easat-10155	107	69	indicating	indicate	VERB
easat-10155	107	70	that	that	SCONJ
easat-10155	107	71	the	the	DET
easat-10155	107	72	species	specie	NOUN
easat-10155	107	73	reaches	reach	VERB
easat-10155	107	74	equilibrium	equilibrium	NOUN
easat-10155	107	75	at	at	ADP
easat-10155	107	76	higher	high	ADJ
easat-10155	107	77	spatial	spatial	ADJ
easat-10155	107	78	position	position	NOUN
easat-10155	107	79	.	.	PUNCT
easat-10155	108	1	the	the	DET
easat-10155	108	2	dimensionless	dimensionless	ADJ
easat-10155	108	3	concentration	concentration	NOUN
easat-10155	108	4	values	value	NOUN
easat-10155	108	5	stabilize	stabilize	VERB
easat-10155	108	6	as	as	ADP
easat-10155	108	7	𝑇	𝑇	NOUN
easat-10155	108	8	increases	increase	NOUN
easat-10155	108	9	,	,	PUNCT
easat-10155	108	10	which	which	PRON
easat-10155	108	11	means	mean	VERB
easat-10155	108	12	that	that	SCONJ
easat-10155	108	13	the	the	DET
easat-10155	108	14	system	system	NOUN
easat-10155	108	15	reaches	reach	VERB
easat-10155	108	16	a	a	DET
easat-10155	108	17	steady	steady	ADJ
easat-10155	108	18	-	-	PUNCT
easat-10155	108	19	state	state	NOUN
easat-10155	108	20	.	.	PUNCT
easat-10155	109	1	1475	1475	NUM
easat-10155	109	2	edelweiss	edelweiss	PROPN
easat-10155	109	3	applied	apply	VERB
easat-10155	109	4	science	science	NOUN
easat-10155	109	5	and	and	CCONJ
easat-10155	109	6	technology	technology	NOUN
easat-10155	109	7	issn	issn	PROPN
easat-10155	109	8	:	:	PUNCT
easat-10155	109	9	2576	2576	NUM
easat-10155	109	10	-	-	SYM
easat-10155	109	11	8484	8484	NUM
easat-10155	109	12	vol	vol	NOUN
easat-10155	109	13	.	.	PROPN
easat-10155	110	1	9	9	NUM
easat-10155	110	2	,	,	PUNCT
easat-10155	110	3	no	no	INTJ
easat-10155	110	4	.	.	NOUN
easat-10155	110	5	9	9	NUM
easat-10155	110	6	:	:	SYM
easat-10155	110	7	1471	1471	NUM
easat-10155	110	8	-	-	SYM
easat-10155	110	9	1483	1483	NUM
easat-10155	110	10	,	,	PUNCT
easat-10155	110	11	2025	2025	NUM
easat-10155	110	12	doi	doi	NOUN
easat-10155	110	13	:	:	PUNCT
easat-10155	110	14	10.55214/2576	10.55214/2576	NUM
easat-10155	110	15	-	-	SYM
easat-10155	110	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	110	17	©	©	ADP
easat-10155	110	18	2025	2025	NUM
easat-10155	110	19	by	by	ADP
easat-10155	110	20	the	the	DET
easat-10155	110	21	authors	author	NOUN
easat-10155	110	22	;	;	PUNCT
easat-10155	110	23	licensee	licensee	PROPN
easat-10155	110	24	learning	learn	VERB
easat-10155	110	25	gate	gate	NOUN
easat-10155	110	26	table	table	NOUN
easat-10155	110	27	1	1	NUM
easat-10155	110	28	.	.	PUNCT
easat-10155	111	1	comparing	compare	VERB
easat-10155	111	2	the	the	DET
easat-10155	111	3	analytical	analytical	ADJ
easat-10155	111	4	and	and	CCONJ
easat-10155	111	5	numerical	numerical	ADJ
easat-10155	111	6	results	result	NOUN
easat-10155	111	7	for	for	ADP
easat-10155	111	8	u(ρ	u(ρ	PROPN
easat-10155	111	9	,	,	PUNCT
easat-10155	111	10	t	t	PROPN
easat-10155	111	11	)	)	PUNCT
easat-10155	111	12	for	for	ADP
easat-10155	111	13	different	different	ADJ
easat-10155	111	14	values	value	NOUN
easat-10155	111	15	of	of	ADP
easat-10155	111	16	time	time	NOUN
easat-10155	111	17	t.	t.	NOUN
easat-10155	111	18	concentration	concentration	NOUN
easat-10155	111	19	of	of	ADP
easat-10155	111	20	u(𝝆	u(𝝆	PROPN
easat-10155	111	21	,	,	PUNCT
easat-10155	111	22	𝑻	𝑻	PROPN
easat-10155	111	23	)	)	PUNCT
easat-10155	112	1	𝝆	𝝆	X
easat-10155	112	2	t=0.1	t=0.1	NOUN
easat-10155	112	3	t=1	t=1	PUNCT
easat-10155	112	4	t=3	t=3	X
easat-10155	112	5	t=5	t=5	SYM
easat-10155	112	6	t=10	t=10	NOUN
easat-10155	112	7	numerial	numerial	ADJ
easat-10155	112	8	analytical	analytical	ADJ
easat-10155	112	9	rjm	rjm	NOUN
easat-10155	112	10	eq	eq	ADP
easat-10155	112	11	.	.	PUNCT
easat-10155	113	1	(	(	PUNCT
easat-10155	113	2	20	20	NUM
easat-10155	113	3	)	)	PUNCT
easat-10155	113	4	deviation	deviation	NOUN
easat-10155	113	5	numerical	numerical	ADJ
easat-10155	113	6	analytical	analytical	ADJ
easat-10155	113	7	rjm	rjm	NOUN
easat-10155	113	8	eq	eq	ADP
easat-10155	113	9	.	.	PUNCT
easat-10155	114	1	(	(	PUNCT
easat-10155	114	2	20	20	NUM
easat-10155	114	3	)	)	PUNCT
easat-10155	114	4	deviation	deviation	NOUN
easat-10155	114	5	numerical	numerical	ADJ
easat-10155	114	6	analytical	analytical	ADJ
easat-10155	114	7	rjm	rjm	NOUN
easat-10155	114	8	eq	eq	ADP
easat-10155	114	9	.	.	PUNCT
easat-10155	115	1	(	(	PUNCT
easat-10155	115	2	20	20	NUM
easat-10155	115	3	)	)	PUNCT
easat-10155	115	4	deviation	deviation	NOUN
easat-10155	115	5	numerical	numerical	ADJ
easat-10155	115	6	analytical	analytical	ADJ
easat-10155	115	7	rjm	rjm	NOUN
easat-10155	115	8	eq	eq	ADP
easat-10155	115	9	.	.	PUNCT
easat-10155	116	1	(	(	PUNCT
easat-10155	116	2	20	20	NUM
easat-10155	116	3	)	)	PUNCT
easat-10155	116	4	deviation	deviation	NOUN
easat-10155	116	5	numerical	numerical	ADJ
easat-10155	116	6	analytical	analytical	ADJ
easat-10155	116	7	rjm	rjm	NOUN
easat-10155	116	8	eq	eq	ADP
easat-10155	116	9	.	.	PUNCT
easat-10155	117	1	(	(	PUNCT
easat-10155	117	2	20	20	NUM
easat-10155	117	3	)	)	PUNCT
easat-10155	117	4	deviation	deviation	NOUN
easat-10155	117	5	1	1	NUM
easat-10155	117	6	0.5000	0.5000	NUM
easat-10155	117	7	0.5000	0.5000	NUM
easat-10155	118	1	0.0000	0.0000	NUM
easat-10155	118	2	0.5000	0.5000	NUM
easat-10155	118	3	0.5000	0.5000	NUM
easat-10155	118	4	0.0000	0.0000	NUM
easat-10155	118	5	0.5000	0.5000	NUM
easat-10155	118	6	0.5000	0.5000	NUM
easat-10155	118	7	0.0000	0.0000	NUM
easat-10155	118	8	0.5000	0.5000	NUM
easat-10155	118	9	0.5000	0.5000	NUM
easat-10155	118	10	0.0000	0.0000	NUM
easat-10155	118	11	0.5000	0.5000	NUM
easat-10155	118	12	0.5000	0.5000	NUM
easat-10155	118	13	0.0000	0.0000	NUM
easat-10155	118	14	2	2	NUM
easat-10155	118	15	0.9932	0.9932	NUM
easat-10155	118	16	0.9937	0.9937	NUM
easat-10155	118	17	0.0005	0.0005	NUM
easat-10155	118	18	0.8796	0.8796	NUM
easat-10155	118	19	0.8801	0.8801	NUM
easat-10155	118	20	0.0005	0.0005	NUM
easat-10155	118	21	0.8289	0.8289	NUM
easat-10155	118	22	0.8292	0.8292	NUM
easat-10155	118	23	0.0003	0.0003	NUM
easat-10155	118	24	0.8123	0.8123	NUM
easat-10155	118	25	0.8120	0.8120	NUM
easat-10155	118	26	0.0003	0.0003	NUM
easat-10155	118	27	0.7943	0.7943	NUM
easat-10155	118	28	0.7942	0.7942	NUM
easat-10155	118	29	0.0001	0.0001	NUM
easat-10155	118	30	3	3	NUM
easat-10155	118	31	1.0000	1.0000	NUM
easat-10155	118	32	0.9999	0.9999	NUM
easat-10155	118	33	0.0001	0.0001	NUM
easat-10155	118	34	0.9734	0.9734	NUM
easat-10155	118	35	0.9738	0.9738	NUM
easat-10155	118	36	0.0004	0.0004	NUM
easat-10155	118	37	0.9306	0.9306	NUM
easat-10155	118	38	0.9301	0.9301	NUM
easat-10155	118	39	0.0005	0.0005	NUM
easat-10155	118	40	0.9125	0.9125	NUM
easat-10155	118	41	0.9122	0.9122	NUM
easat-10155	118	42	0.0003	0.0003	NUM
easat-10155	118	43	0.8909	0.8909	NUM
easat-10155	118	44	0.8909	0.8909	NUM
easat-10155	118	45	0.0000	0.0000	NUM
easat-10155	118	46	4	4	NUM
easat-10155	118	47	1.0000	1.0000	NUM
easat-10155	118	48	1.0000	1.0000	NUM
easat-10155	118	49	0.0000	0.0000	NUM
easat-10155	118	50	0.9956	0.9956	NUM
easat-10155	118	51	0.9958	0.9958	NUM
easat-10155	118	52	0.0002	0.0002	NUM
easat-10155	118	53	0.9721	0.9721	NUM
easat-10155	118	54	0.9724	0.9724	NUM
easat-10155	118	55	0.0003	0.0003	NUM
easat-10155	118	56	0.9575	0.9575	NUM
easat-10155	118	57	0.9572	0.9572	NUM
easat-10155	118	58	0.0003	0.0003	NUM
easat-10155	118	59	0.9373	0.9373	NUM
easat-10155	118	60	0.9372	0.9372	NUM
easat-10155	118	61	0.0001	0.0001	NUM
easat-10155	118	62	5	5	NUM
easat-10155	118	63	1.0000	1.0000	NUM
easat-10155	118	64	1.0000	1.0000	NUM
easat-10155	118	65	0.0000	0.0000	NUM
easat-10155	118	66	0.9995	0.9995	NUM
easat-10155	119	1	0.9995	0.9995	NUM
easat-10155	119	2	0.0000	0.0000	NUM
easat-10155	119	3	0.9896	0.9896	NUM
easat-10155	119	4	0.9898	0.9898	NUM
easat-10155	119	5	0.0002	0.0002	NUM
easat-10155	119	6	0.9796	0.9796	NUM
easat-10155	119	7	0.9794	0.9794	NUM
easat-10155	119	8	0.0002	0.0002	NUM
easat-10155	119	9	0.9631	0.9631	NUM
easat-10155	119	10	0.9629	0.9629	NUM
easat-10155	119	11	0.0002	0.0002	NUM
easat-10155	119	12	6	6	NUM
easat-10155	119	13	1.0000	1.0000	NUM
easat-10155	119	14	1.0000	1.0000	NUM
easat-10155	119	15	0.0000	0.0000	NUM
easat-10155	119	16	1.0000	1.0000	NUM
easat-10155	119	17	0.9999	0.9999	NUM
easat-10155	119	18	0.0001	0.0001	NUM
easat-10155	119	19	0.9965	0.9965	NUM
easat-10155	119	20	0.9966	0.9966	NUM
easat-10155	119	21	0.0001	0.0001	NUM
easat-10155	119	22	0.9907	0.9907	NUM
easat-10155	119	23	0.9905	0.9905	NUM
easat-10155	119	24	0.0002	0.0002	NUM
easat-10155	119	25	0.9783	0.9783	NUM
easat-10155	119	26	0.9780	0.9780	NUM
easat-10155	119	27	0.0003	0.0003	NUM
easat-10155	119	28	7	7	NUM
easat-10155	119	29	1.0000	1.0000	NUM
easat-10155	119	30	1.0000	1.0000	NUM
easat-10155	119	31	0.0000	0.0000	NUM
easat-10155	119	32	1.0000	1.0000	NUM
easat-10155	119	33	0.9999	0.9999	NUM
easat-10155	119	34	0.0001	0.0001	NUM
easat-10155	119	35	0.9989	0.9989	NUM
easat-10155	119	36	0.9989	0.9989	NUM
easat-10155	119	37	0.0000	0.0000	NUM
easat-10155	120	1	0.9960	0.9960	NUM
easat-10155	120	2	0.9959	0.9959	NUM
easat-10155	120	3	0.0001	0.0001	NUM
easat-10155	120	4	0.9877	0.9877	NUM
easat-10155	120	5	0.9872	0.9872	NUM
easat-10155	120	6	0.0005	0.0005	NUM
easat-10155	120	7	8	8	NUM
easat-10155	120	8	1.0000	1.0000	NUM
easat-10155	120	9	1.0000	1.0000	NUM
easat-10155	120	10	0.0000	0.0000	NUM
easat-10155	120	11	1.0000	1.0000	NUM
easat-10155	120	12	0.9999	0.9999	NUM
easat-10155	120	13	0.0001	0.0001	NUM
easat-10155	120	14	0.9997	0.9997	NUM
easat-10155	120	15	0.9997	0.9997	NUM
easat-10155	120	16	0.0000	0.0000	NUM
easat-10155	120	17	0.9984	0.9984	NUM
easat-10155	120	18	0.9983	0.9983	NUM
easat-10155	120	19	0.0001	0.0001	NUM
easat-10155	120	20	0.9935	0.9935	NUM
easat-10155	120	21	0.9927	0.9927	NUM
easat-10155	120	22	0.0008	0.0008	NUM
easat-10155	120	23	9	9	NUM
easat-10155	120	24	1.0000	1.0000	NUM
easat-10155	120	25	1.0000	1.0000	NUM
easat-10155	120	26	0.0000	0.0000	NUM
easat-10155	120	27	1.0000	1.0000	NUM
easat-10155	120	28	0.9999	0.9999	NUM
easat-10155	120	29	0.0001	0.0001	NUM
easat-10155	120	30	0.9999	0.9999	NUM
easat-10155	120	31	0.9999	0.9999	NUM
easat-10155	120	32	0.0000	0.0000	NUM
easat-10155	120	33	0.9995	0.9995	NUM
easat-10155	120	34	0.9994	0.9994	NUM
easat-10155	120	35	0.0001	0.0001	NUM
easat-10155	120	36	0.9973	0.9973	NUM
easat-10155	120	37	0.9959	0.9959	NUM
easat-10155	120	38	0.0014	0.0014	NUM
easat-10155	120	39	10	10	NUM
easat-10155	120	40	1.0000	1.0000	NUM
easat-10155	120	41	1.0000	1.0000	NUM
easat-10155	120	42	0.0000	0.0000	NUM
easat-10155	120	43	1.0000	1.0000	NUM
easat-10155	120	44	1.0000	1.0000	NUM
easat-10155	120	45	0.0000	0.0000	NUM
easat-10155	120	46	1.0000	1.0000	NUM
easat-10155	120	47	0.9999	0.9999	NUM
easat-10155	120	48	0.0001	0.0001	NUM
easat-10155	120	49	1.0000	1.0000	NUM
easat-10155	120	50	0.9998	0.9998	NUM
easat-10155	120	51	0.0002	0.0002	NUM
easat-10155	120	52	1.0000	1.0000	NUM
easat-10155	120	53	0.9978	0.9978	NUM
easat-10155	120	54	0.0022	0.0022	NUM
easat-10155	120	55	average	average	ADJ
easat-10155	120	56	deviation	deviation	NOUN
easat-10155	120	57	0.0001	0.0001	NUM
easat-10155	120	58	average	average	ADJ
easat-10155	120	59	deviation	deviation	NOUN
easat-10155	120	60	0.0001	0.0001	NUM
easat-10155	120	61	average	average	ADJ
easat-10155	120	62	deviation	deviation	NOUN
easat-10155	120	63	0.0002	0.0002	NUM
easat-10155	120	64	average	average	ADJ
easat-10155	120	65	deviation	deviation	NOUN
easat-10155	120	66	0.0002	0.0002	NUM
easat-10155	120	67	average	average	ADJ
easat-10155	120	68	deviation	deviation	NOUN
easat-10155	120	69	0.0006	0.0006	NUM
easat-10155	120	70	table	table	NOUN
easat-10155	120	71	2a	2a	NUM
easat-10155	120	72	.	.	PUNCT
easat-10155	121	1	comparing	compare	VERB
easat-10155	121	2	the	the	DET
easat-10155	121	3	analytical	analytical	ADJ
easat-10155	121	4	and	and	CCONJ
easat-10155	121	5	numerical	numerical	ADJ
easat-10155	121	6	concentration	concentration	NOUN
easat-10155	121	7	of	of	ADP
easat-10155	121	8	specie	specie	PROPN
easat-10155	121	9	v(ρ	v(ρ	PROPN
easat-10155	121	10	,	,	PUNCT
easat-10155	121	11	t	t	PROPN
easat-10155	121	12	)	)	PUNCT
easat-10155	121	13	for	for	ADP
easat-10155	121	14	different	different	ADJ
easat-10155	121	15	values	value	NOUN
easat-10155	121	16	of	of	ADP
easat-10155	121	17	time	time	NOUN
easat-10155	121	18	t	t	PROPN
easat-10155	121	19	and	and	CCONJ
easat-10155	121	20	for	for	ADP
easat-10155	121	21	a	a	DET
easat-10155	121	22	fixed	fix	VERB
easat-10155	121	23	value	value	NOUN
easat-10155	121	24	of	of	ADP
easat-10155	121	25	m=0.1	m=0.1	PROPN
easat-10155	121	26	.	.	PUNCT
easat-10155	122	1	concentration	concentration	NOUN
easat-10155	122	2	of	of	ADP
easat-10155	122	3	v(𝝆	v(𝝆	PRON
easat-10155	122	4	,	,	PUNCT
easat-10155	122	5	𝑻	𝑻	PROPN
easat-10155	122	6	)	)	PUNCT
easat-10155	122	7	(	(	PUNCT
easat-10155	122	8	m	m	NOUN
easat-10155	122	9	=	=	NOUN
easat-10155	122	10	0.1	0.1	NUM
easat-10155	122	11	)	)	PUNCT
easat-10155	122	12	𝝆	𝝆	X
easat-10155	122	13	t=0.1	t=0.1	NOUN
easat-10155	122	14	t=1	t=1	PUNCT
easat-10155	122	15	t=3	t=3	X
easat-10155	122	16	t=5	t=5	SYM
easat-10155	122	17	t=10	t=10	NUM
easat-10155	122	18	numerical	numerical	ADJ
easat-10155	122	19	analytical	analytical	ADJ
easat-10155	122	20	rjm	rjm	NOUN
easat-10155	122	21	eq	eq	ADP
easat-10155	122	22	.	.	PUNCT
easat-10155	123	1	(	(	PUNCT
easat-10155	123	2	21	21	NUM
easat-10155	123	3	)	)	PUNCT
easat-10155	123	4	deviation	deviation	NOUN
easat-10155	123	5	numerical	numerical	ADJ
easat-10155	123	6	analytical	analytical	ADJ
easat-10155	123	7	rjm	rjm	NOUN
easat-10155	123	8	eq	eq	ADP
easat-10155	123	9	.	.	PUNCT
easat-10155	124	1	(	(	PUNCT
easat-10155	124	2	21	21	NUM
easat-10155	124	3	)	)	PUNCT
easat-10155	124	4	deviation	deviation	NOUN
easat-10155	124	5	numerical	numerical	ADJ
easat-10155	124	6	analytical	analytical	ADJ
easat-10155	124	7	rjm	rjm	NOUN
easat-10155	124	8	eq	eq	ADP
easat-10155	124	9	.	.	PUNCT
easat-10155	125	1	(	(	PUNCT
easat-10155	125	2	21	21	NUM
easat-10155	125	3	)	)	PUNCT
easat-10155	125	4	deviation	deviation	NOUN
easat-10155	125	5	numerical	numerical	ADJ
easat-10155	125	6	analytical	analytical	ADJ
easat-10155	125	7	rjm	rjm	NOUN
easat-10155	125	8	eq	eq	ADP
easat-10155	125	9	.	.	PUNCT
easat-10155	126	1	(	(	PUNCT
easat-10155	126	2	21	21	NUM
easat-10155	126	3	)	)	PUNCT
easat-10155	126	4	deviation	deviation	NOUN
easat-10155	126	5	numerical	numerical	ADJ
easat-10155	126	6	analytical	analytical	ADJ
easat-10155	126	7	rjm	rjm	NOUN
easat-10155	126	8	eq	eq	ADP
easat-10155	126	9	.	.	PUNCT
easat-10155	127	1	(	(	PUNCT
easat-10155	127	2	21	21	NUM
easat-10155	127	3	)	)	PUNCT
easat-10155	127	4	deviation	deviation	NOUN
easat-10155	127	5	1	1	NUM
easat-10155	127	6	0.5000	0.5000	NUM
easat-10155	127	7	0.5000	0.5000	NUM
easat-10155	128	1	0.0000	0.0000	NUM
easat-10155	128	2	0.5000	0.5000	NUM
easat-10155	128	3	0.5000	0.5000	NUM
easat-10155	128	4	0.0000	0.0000	NUM
easat-10155	128	5	0.5000	0.5000	NUM
easat-10155	128	6	0.5000	0.5000	NUM
easat-10155	128	7	0.0000	0.0000	NUM
easat-10155	128	8	0.5000	0.5000	NUM
easat-10155	128	9	0.5000	0.5000	NUM
easat-10155	128	10	0.0000	0.0000	NUM
easat-10155	128	11	0.5000	0.5000	NUM
easat-10155	128	12	0.5000	0.5000	NUM
easat-10155	128	13	0.0000	0.0000	NUM
easat-10155	128	14	2	2	NUM
easat-10155	128	15	0.0068	0.0068	NUM
easat-10155	128	16	0.0102	0.0102	NUM
easat-10155	128	17	0.0034	0.0034	NUM
easat-10155	128	18	0.1196	0.1196	NUM
easat-10155	128	19	0.1312	0.1312	NUM
easat-10155	128	20	0.0116	0.0116	NUM
easat-10155	128	21	0.1689	0.1689	NUM
easat-10155	128	22	0.1951	0.1951	NUM
easat-10155	128	23	0.0262	0.0262	NUM
easat-10155	128	24	0.1845	0.1845	NUM
easat-10155	128	25	0.2249	0.2249	NUM
easat-10155	128	26	0.0404	0.0404	NUM
easat-10155	128	27	0.2010	0.2010	NUM
easat-10155	128	28	0.2742	0.2742	NUM
easat-10155	128	29	0.0732	0.0732	NUM
easat-10155	128	30	3	3	NUM
easat-10155	128	31	0.0000	0.0000	NUM
easat-10155	128	32	0.0037	0.0037	NUM
easat-10155	128	33	0.0037	0.0037	NUM
easat-10155	128	34	0.0264	0.0264	NUM
easat-10155	128	35	0.0365	0.0365	NUM
easat-10155	128	36	0.0101	0.0101	NUM
easat-10155	128	37	0.0684	0.0684	NUM
easat-10155	128	38	0.0880	0.0880	NUM
easat-10155	128	39	0.0196	0.0196	NUM
easat-10155	129	1	0.0856	0.0856	NUM
easat-10155	129	2	0.1155	0.1155	NUM
easat-10155	129	3	0.0299	0.0299	NUM
easat-10155	129	4	0.1055	0.1055	NUM
easat-10155	129	5	0.1596	0.1596	NUM
easat-10155	129	6	0.0541	0.0541	NUM
easat-10155	129	7	4	4	NUM
easat-10155	129	8	0.0000	0.0000	NUM
easat-10155	129	9	0.0032	0.0032	NUM
easat-10155	129	10	0.0032	0.0032	NUM
easat-10155	129	11	0.0043	0.0043	NUM
easat-10155	129	12	0.0133	0.0133	NUM
easat-10155	129	13	0.0090	0.0090	NUM
easat-10155	129	14	0.0275	0.0275	NUM
easat-10155	129	15	0.0429	0.0429	NUM
easat-10155	129	16	0.0154	0.0154	NUM
easat-10155	129	17	0.0416	0.0416	NUM
easat-10155	129	18	0.0639	0.0639	NUM
easat-10155	129	19	0.0223	0.0223	NUM
easat-10155	129	20	0.0605	0.0605	NUM
easat-10155	129	21	0.0994	0.0994	NUM
easat-10155	129	22	0.0389	0.0389	NUM
easat-10155	129	23	5	5	NUM
easat-10155	129	24	0.0000	0.0000	NUM
easat-10155	129	25	0.0028	0.0028	NUM
easat-10155	129	26	0.0028	0.0028	NUM
easat-10155	129	27	0.0005	0.0005	NUM
easat-10155	129	28	0.0085	0.0085	NUM
easat-10155	129	29	0.0080	0.0080	NUM
easat-10155	129	30	0.0103	0.0103	NUM
easat-10155	129	31	0.0234	0.0234	NUM
easat-10155	129	32	0.0131	0.0131	NUM
easat-10155	129	33	0.0191	0.0191	NUM
easat-10155	129	34	0.0378	0.0378	NUM
easat-10155	129	35	0.0187	0.0187	NUM
easat-10155	129	36	0.0356	0.0356	NUM
easat-10155	129	37	0.0651	0.0651	NUM
easat-10155	129	38	0.0295	0.0295	NUM
easat-10155	129	39	6	6	NUM
easat-10155	129	40	0.0000	0.0000	NUM
easat-10155	129	41	0.0024	0.0024	NUM
easat-10155	129	42	0.0024	0.0024	NUM
easat-10155	129	43	0.0000	0.0000	NUM
easat-10155	129	44	0.0072	0.0072	NUM
easat-10155	129	45	0.0072	0.0072	NUM
easat-10155	129	46	0.0035	0.0035	NUM
easat-10155	129	47	0.0151	0.0151	NUM
easat-10155	129	48	0.0116	0.0116	NUM
easat-10155	129	49	0.0092	0.0092	NUM
easat-10155	129	50	0.0243	0.0243	NUM
easat-10155	129	51	0.0151	0.0151	NUM
easat-10155	129	52	0.0209	0.0209	NUM
easat-10155	129	53	0.0446	0.0446	NUM
easat-10155	129	54	0.0237	0.0237	NUM
easat-10155	129	55	7	7	NUM
easat-10155	129	56	0.0000	0.0000	NUM
easat-10155	129	57	0.0021	0.0021	NUM
easat-10155	129	58	0.0021	0.0021	NUM
easat-10155	129	59	0.0000	0.0000	NUM
easat-10155	129	60	0.0064	0.0064	NUM
easat-10155	129	61	0.0064	0.0064	NUM
easat-10155	129	62	0.0011	0.0011	NUM
easat-10155	129	63	0.0115	0.0115	NUM
easat-10155	129	64	0.0104	0.0104	NUM
easat-10155	130	1	0.0031	0.0031	NUM
easat-10155	130	2	0.0173	0.0173	NUM
easat-10155	130	3	0.0142	0.0142	NUM
easat-10155	130	4	0.0119	0.0119	NUM
easat-10155	130	5	0.0320	0.0320	NUM
easat-10155	130	6	0.0201	0.0201	NUM
easat-10155	130	7	8	8	NUM
easat-10155	130	8	0.0000	0.0000	NUM
easat-10155	130	9	0.0019	0.0019	NUM
easat-10155	130	10	0.0019	0.0019	NUM
easat-10155	130	11	0.0000	0.0000	NUM
easat-10155	130	12	0.0058	0.0058	NUM
easat-10155	130	13	0.0058	0.0058	NUM
easat-10155	130	14	0.0003	0.0003	NUM
easat-10155	130	15	0.0098	0.0098	NUM
easat-10155	130	16	0.0095	0.0095	NUM
easat-10155	130	17	0.0016	0.0016	NUM
easat-10155	130	18	0.0136	0.0136	NUM
easat-10155	130	19	0.0120	0.0120	NUM
easat-10155	130	20	0.0063	0.0063	NUM
easat-10155	130	21	0.0242	0.0242	NUM
easat-10155	130	22	0.0179	0.0179	NUM
easat-10155	130	23	9	9	NUM
easat-10155	130	24	0.0000	0.0000	NUM
easat-10155	130	25	0.0017	0.0017	NUM
easat-10155	130	26	0.0017	0.0017	NUM
easat-10155	130	27	0.0000	0.0000	NUM
easat-10155	130	28	0.0053	0.0053	NUM
easat-10155	130	29	0.0053	0.0053	NUM
easat-10155	130	30	0.0000	0.0000	NUM
easat-10155	130	31	0.0088	0.0088	NUM
easat-10155	130	32	0.0088	0.0088	NUM
easat-10155	130	33	0.0005	0.0005	NUM
easat-10155	130	34	0.0116	0.0116	NUM
easat-10155	130	35	0.0111	0.0111	NUM
easat-10155	130	36	0.0026	0.0026	NUM
easat-10155	130	37	0.0192	0.0192	NUM
easat-10155	130	38	0.0166	0.0166	NUM
easat-10155	130	39	10	10	NUM
easat-10155	130	40	0.0000	0.0000	NUM
easat-10155	130	41	0.0016	0.0016	NUM
easat-10155	130	42	0.0016	0.0016	NUM
easat-10155	130	43	0.0000	0.0000	NUM
easat-10155	130	44	0.0048	0.0048	NUM
easat-10155	130	45	0.0048	0.0048	NUM
easat-10155	130	46	0.0000	0.0000	NUM
easat-10155	130	47	0.0081	0.0081	NUM
easat-10155	130	48	0.0081	0.0081	NUM
easat-10155	130	49	0.0000	0.0000	NUM
easat-10155	130	50	0.0103	0.0103	NUM
easat-10155	130	51	0.0103	0.0103	NUM
easat-10155	130	52	0.0000	0.0000	NUM
easat-10155	130	53	0.0161	0.0161	NUM
easat-10155	130	54	0.0161	0.0161	NUM
easat-10155	130	55	average	average	ADJ
easat-10155	130	56	deviation	deviation	NOUN
easat-10155	130	57	0.0023	0.0023	NUM
easat-10155	130	58	average	average	ADJ
easat-10155	130	59	deviation	deviation	NOUN
easat-10155	130	60	0.0068	0.0068	NUM
easat-10155	130	61	average	average	ADJ
easat-10155	130	62	deviation	deviation	NOUN
easat-10155	130	63	0.0123	0.0123	NUM
easat-10155	130	64	average	average	ADJ
easat-10155	130	65	deviation	deviation	NOUN
easat-10155	130	66	0.0174	0.0174	NUM
easat-10155	130	67	average	average	ADJ
easat-10155	130	68	deviation	deviation	NOUN
easat-10155	130	69	0.0290	0.0290	NUM
easat-10155	130	70	1476	1476	NUM
easat-10155	130	71	edelweiss	edelweiss	PROPN
easat-10155	130	72	applied	apply	VERB
easat-10155	130	73	science	science	NOUN
easat-10155	130	74	and	and	CCONJ
easat-10155	130	75	technology	technology	NOUN
easat-10155	130	76	issn	issn	PROPN
easat-10155	130	77	:	:	PUNCT
easat-10155	130	78	2576	2576	NUM
easat-10155	130	79	-	-	SYM
easat-10155	130	80	8484	8484	NUM
easat-10155	130	81	vol	vol	NOUN
easat-10155	130	82	.	.	PROPN
easat-10155	131	1	9	9	NUM
easat-10155	131	2	,	,	PUNCT
easat-10155	131	3	no	no	INTJ
easat-10155	131	4	.	.	NOUN
easat-10155	131	5	9	9	NUM
easat-10155	131	6	:	:	SYM
easat-10155	131	7	1471	1471	NUM
easat-10155	131	8	-	-	SYM
easat-10155	131	9	1483	1483	NUM
easat-10155	131	10	,	,	PUNCT
easat-10155	131	11	2025	2025	NUM
easat-10155	131	12	doi	doi	NOUN
easat-10155	131	13	:	:	PUNCT
easat-10155	131	14	10.55214/2576	10.55214/2576	NUM
easat-10155	131	15	-	-	SYM
easat-10155	131	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	131	17	©	©	ADP
easat-10155	131	18	2025	2025	NUM
easat-10155	131	19	by	by	ADP
easat-10155	131	20	the	the	DET
easat-10155	131	21	authors	author	NOUN
easat-10155	131	22	;	;	PUNCT
easat-10155	131	23	licensee	licensee	PROPN
easat-10155	131	24	learning	learn	VERB
easat-10155	131	25	gate	gate	PROPN
easat-10155	131	26	table	table	NOUN
easat-10155	131	27	2b	2b	NOUN
easat-10155	131	28	.	.	PUNCT
easat-10155	132	1	comparing	compare	VERB
easat-10155	132	2	the	the	DET
easat-10155	132	3	analytical	analytical	ADJ
easat-10155	132	4	and	and	CCONJ
easat-10155	132	5	numerical	numerical	ADJ
easat-10155	132	6	concentration	concentration	NOUN
easat-10155	132	7	of	of	ADP
easat-10155	132	8	specie	specie	NOUN
easat-10155	132	9	𝑉(𝜌	𝑉(𝜌	PROPN
easat-10155	132	10	,	,	PUNCT
easat-10155	132	11	𝑇	𝑇	PROPN
easat-10155	132	12	)	)	PUNCT
easat-10155	132	13	for	for	ADP
easat-10155	132	14	different	different	ADJ
easat-10155	132	15	values	value	NOUN
easat-10155	132	16	of	of	ADP
easat-10155	132	17	time	time	NOUN
easat-10155	132	18	t	t	PROPN
easat-10155	132	19	and	and	CCONJ
easat-10155	132	20	for	for	ADP
easat-10155	132	21	a	a	DET
easat-10155	132	22	fixed	fix	VERB
easat-10155	132	23	value	value	NOUN
easat-10155	132	24	of	of	ADP
easat-10155	132	25	m=0.01	m=0.01	NOUN
easat-10155	132	26	.	.	PUNCT
easat-10155	133	1	concentration	concentration	NOUN
easat-10155	133	2	of	of	ADP
easat-10155	133	3	v(𝝆	v(𝝆	PRON
easat-10155	133	4	,	,	PUNCT
easat-10155	133	5	𝑻	𝑻	PROPN
easat-10155	133	6	)	)	PUNCT
easat-10155	133	7	(	(	PUNCT
easat-10155	133	8	m	m	NOUN
easat-10155	133	9	=	=	NOUN
easat-10155	133	10	0.01	0.01	NUM
easat-10155	133	11	)	)	PUNCT
easat-10155	134	1	𝝆	𝝆	DET
easat-10155	134	2	t=0.1	t=0.1	NOUN
easat-10155	134	3	t=1	t=1	PUNCT
easat-10155	134	4	t=3	t=3	X
easat-10155	134	5	t=5	t=5	SYM
easat-10155	134	6	t=10	t=10	NUM
easat-10155	134	7	numerical	numerical	ADJ
easat-10155	134	8	analytical	analytical	ADJ
easat-10155	134	9	rjm	rjm	NOUN
easat-10155	134	10	eq	eq	ADP
easat-10155	134	11	.	.	PUNCT
easat-10155	135	1	(	(	PUNCT
easat-10155	135	2	21	21	NUM
easat-10155	135	3	)	)	PUNCT
easat-10155	135	4	deviation	deviation	NOUN
easat-10155	135	5	numerical	numerical	ADJ
easat-10155	135	6	analytical	analytical	ADJ
easat-10155	135	7	rjm	rjm	NOUN
easat-10155	135	8	eq	eq	ADP
easat-10155	135	9	.	.	PUNCT
easat-10155	136	1	(	(	PUNCT
easat-10155	136	2	21	21	NUM
easat-10155	136	3	)	)	PUNCT
easat-10155	136	4	deviation	deviation	NOUN
easat-10155	136	5	numerical	numerical	ADJ
easat-10155	136	6	analytical	analytical	ADJ
easat-10155	136	7	rjm	rjm	NOUN
easat-10155	136	8	eq	eq	ADP
easat-10155	136	9	.	.	PUNCT
easat-10155	137	1	(	(	PUNCT
easat-10155	137	2	21	21	NUM
easat-10155	137	3	)	)	PUNCT
easat-10155	137	4	deviation	deviation	NOUN
easat-10155	137	5	numerical	numerical	ADJ
easat-10155	137	6	analytical	analytical	ADJ
easat-10155	137	7	rjm	rjm	NOUN
easat-10155	137	8	eq	eq	ADP
easat-10155	137	9	.	.	PUNCT
easat-10155	138	1	(	(	PUNCT
easat-10155	138	2	21	21	NUM
easat-10155	138	3	)	)	PUNCT
easat-10155	138	4	deviation	deviation	NOUN
easat-10155	138	5	numerical	numerical	ADJ
easat-10155	138	6	analytical	analytical	ADJ
easat-10155	138	7	rjm	rjm	NOUN
easat-10155	138	8	eq	eq	ADP
easat-10155	138	9	.	.	PUNCT
easat-10155	139	1	(	(	PUNCT
easat-10155	139	2	21	21	NUM
easat-10155	139	3	)	)	PUNCT
easat-10155	139	4	deviation	deviation	NOUN
easat-10155	139	5	1	1	NUM
easat-10155	139	6	0.5000	0.5000	NUM
easat-10155	139	7	0.5000	0.5000	NUM
easat-10155	140	1	0.0000	0.0000	NUM
easat-10155	140	2	0.5000	0.5000	NUM
easat-10155	140	3	0.5000	0.5000	NUM
easat-10155	140	4	0.0000	0.0000	NUM
easat-10155	140	5	0.5000	0.5000	NUM
easat-10155	140	6	0.5000	0.5000	NUM
easat-10155	140	7	0.0000	0.0000	NUM
easat-10155	140	8	0.5000	0.5000	NUM
easat-10155	140	9	0.5000	0.5000	NUM
easat-10155	140	10	0.0000	0.0000	NUM
easat-10155	140	11	0.5000	0.5000	NUM
easat-10155	140	12	0.5000	0.5000	NUM
easat-10155	140	13	0.0000	0.0000	NUM
easat-10155	140	14	2	2	NUM
easat-10155	140	15	0.0067	0.0067	NUM
easat-10155	140	16	0.0067	0.0067	NUM
easat-10155	140	17	0.0000	0.0000	NUM
easat-10155	140	18	0.1203	0.1203	NUM
easat-10155	140	19	0.1210	0.1210	NUM
easat-10155	140	20	0.0007	0.0007	NUM
easat-10155	140	21	0.1709	0.1709	NUM
easat-10155	140	22	0.1732	0.1732	NUM
easat-10155	140	23	0.0023	0.0023	NUM
easat-10155	140	24	0.1873	0.1873	NUM
easat-10155	140	25	0.1917	0.1917	NUM
easat-10155	140	26	0.0044	0.0044	NUM
easat-10155	140	27	0.2052	0.2052	NUM
easat-10155	140	28	0.2126	0.2126	NUM
easat-10155	140	29	0.0074	0.0074	NUM
easat-10155	140	30	3	3	NUM
easat-10155	140	31	0.0000	0.0000	NUM
easat-10155	140	32	0.0004	0.0004	NUM
easat-10155	140	33	0.0004	0.0004	NUM
easat-10155	140	34	0.0267	0.0267	NUM
easat-10155	140	35	0.0272	0.0272	NUM
easat-10155	140	36	0.0005	0.0005	NUM
easat-10155	140	37	0.0693	0.0693	NUM
easat-10155	140	38	0.0709	0.0709	NUM
easat-10155	140	39	0.0016	0.0016	NUM
easat-10155	140	40	0.0873	0.0873	NUM
easat-10155	140	41	0.0906	0.0906	NUM
easat-10155	140	42	0.0033	0.0033	NUM
easat-10155	140	43	0.1087	0.1087	NUM
easat-10155	140	44	0.1142	0.1142	NUM
easat-10155	140	45	0.0055	0.0055	NUM
easat-10155	140	46	4	4	NUM
easat-10155	140	47	0.0000	0.0000	NUM
easat-10155	140	48	0.0003	0.0003	NUM
easat-10155	140	49	0.0003	0.0003	NUM
easat-10155	140	50	0.0044	0.0044	NUM
easat-10155	140	51	0.0051	0.0051	NUM
easat-10155	140	52	0.0007	0.0007	NUM
easat-10155	140	53	0.0278	0.0278	NUM
easat-10155	140	54	0.0291	0.0291	NUM
easat-10155	140	55	0.0013	0.0013	NUM
easat-10155	140	56	0.0425	0.0425	NUM
easat-10155	140	57	0.0449	0.0449	NUM
easat-10155	140	58	0.0024	0.0024	NUM
easat-10155	140	59	0.0625	0.0625	NUM
easat-10155	140	60	0.0665	0.0665	NUM
easat-10155	140	61	0.0040	0.0040	NUM
easat-10155	140	62	5	5	NUM
easat-10155	140	63	0.0000	0.0000	NUM
easat-10155	140	64	0.0003	0.0003	NUM
easat-10155	140	65	0.0003	0.0003	NUM
easat-10155	140	66	0.0005	0.0005	NUM
easat-10155	140	67	0.0013	0.0013	NUM
easat-10155	140	68	0.0008	0.0008	NUM
easat-10155	140	69	0.0104	0.0104	NUM
easat-10155	140	70	0.0116	0.0116	NUM
easat-10155	140	71	0.0012	0.0012	NUM
easat-10155	140	72	0.0203	0.0203	NUM
easat-10155	140	73	0.0223	0.0223	NUM
easat-10155	140	74	0.0020	0.0020	NUM
easat-10155	140	75	0.0368	0.0368	NUM
easat-10155	140	76	0.0399	0.0399	NUM
easat-10155	140	77	0.0031	0.0031	NUM
easat-10155	140	78	6	6	NUM
easat-10155	140	79	0.0000	0.0000	NUM
easat-10155	140	80	0.0002	0.0002	NUM
easat-10155	140	81	0.0002	0.0002	NUM
easat-10155	140	82	0.0000	0.0000	NUM
easat-10155	140	83	0.0008	0.0008	NUM
easat-10155	140	84	0.0008	0.0008	NUM
easat-10155	140	85	0.0035	0.0035	NUM
easat-10155	140	86	0.0046	0.0046	NUM
easat-10155	140	87	0.0011	0.0011	NUM
easat-10155	140	88	0.0093	0.0093	NUM
easat-10155	140	89	0.0109	0.0109	NUM
easat-10155	140	90	0.0016	0.0016	NUM
easat-10155	140	91	0.0216	0.0216	NUM
easat-10155	140	92	0.0242	0.0242	NUM
easat-10155	140	93	0.0026	0.0026	NUM
easat-10155	140	94	7	7	NUM
easat-10155	140	95	0.0000	0.0000	NUM
easat-10155	140	96	0.0002	0.0002	NUM
easat-10155	140	97	0.0002	0.0002	NUM
easat-10155	140	98	0.0000	0.0000	NUM
easat-10155	140	99	0.0006	0.0006	NUM
easat-10155	140	100	0.0006	0.0006	NUM
easat-10155	140	101	0.0011	0.0011	NUM
easat-10155	140	102	0.0021	0.0021	NUM
easat-10155	140	103	0.0010	0.0010	NUM
easat-10155	140	104	0.0040	0.0040	NUM
easat-10155	140	105	0.0054	0.0054	NUM
easat-10155	140	106	0.0014	0.0014	NUM
easat-10155	140	107	0.0123	0.0123	NUM
easat-10155	140	108	0.0148	0.0148	NUM
easat-10155	140	109	0.0025	0.0025	NUM
easat-10155	140	110	8	8	NUM
easat-10155	140	111	0.0000	0.0000	NUM
easat-10155	140	112	0.0002	0.0002	NUM
easat-10155	140	113	0.0002	0.0002	NUM
easat-10155	140	114	0.0000	0.0000	NUM
easat-10155	140	115	0.0006	0.0006	NUM
easat-10155	140	116	0.0006	0.0006	NUM
easat-10155	140	117	0.0003	0.0003	NUM
easat-10155	140	118	0.0012	0.0012	NUM
easat-10155	140	119	0.0009	0.0009	NUM
easat-10155	140	120	0.0016	0.0016	NUM
easat-10155	140	121	0.0029	0.0029	NUM
easat-10155	140	122	0.0013	0.0013	NUM
easat-10155	140	123	0.0065	0.0065	NUM
easat-10155	140	124	0.0090	0.0090	NUM
easat-10155	140	125	0.0025	0.0025	NUM
easat-10155	140	126	9	9	NUM
easat-10155	140	127	0.0000	0.0000	NUM
easat-10155	140	128	0.0002	0.0002	NUM
easat-10155	140	129	0.0002	0.0002	NUM
easat-10155	140	130	0.0000	0.0000	NUM
easat-10155	140	131	0.0005	0.0005	NUM
easat-10155	140	132	0.0005	0.0005	NUM
easat-10155	140	133	0.0000	0.0000	NUM
easat-10155	140	134	0.0009	0.0009	NUM
easat-10155	140	135	0.0009	0.0009	NUM
easat-10155	140	136	0.0005	0.0005	NUM
easat-10155	140	137	0.0017	0.0017	NUM
easat-10155	140	138	0.0012	0.0012	NUM
easat-10155	140	139	0.0028	0.0028	NUM
easat-10155	140	140	0.0056	0.0056	NUM
easat-10155	140	141	0.0028	0.0028	NUM
easat-10155	140	142	10	10	NUM
easat-10155	140	143	0.0000	0.0000	NUM
easat-10155	140	144	0.0001	0.0001	NUM
easat-10155	140	145	0.0001	0.0001	NUM
easat-10155	140	146	0.0000	0.0000	NUM
easat-10155	140	147	0.0005	0.0005	NUM
easat-10155	140	148	0.0005	0.0005	NUM
easat-10155	140	149	0.0000	0.0000	NUM
easat-10155	140	150	0.0008	0.0008	NUM
easat-10155	140	151	0.0008	0.0008	NUM
easat-10155	140	152	0.0000	0.0000	NUM
easat-10155	140	153	0.0012	0.0012	NUM
easat-10155	140	154	0.0012	0.0012	NUM
easat-10155	140	155	0.0000	0.0000	NUM
easat-10155	140	156	0.0036	0.0036	NUM
easat-10155	140	157	0.0036	0.0036	NUM
easat-10155	140	158	average	average	ADJ
easat-10155	140	159	deviation	deviation	NOUN
easat-10155	140	160	0.0002	0.0002	NUM
easat-10155	140	161	average	average	ADJ
easat-10155	140	162	deviation	deviation	NOUN
easat-10155	140	163	0.0006	0.0006	NUM
easat-10155	140	164	average	average	ADJ
easat-10155	140	165	deviation	deviation	NOUN
easat-10155	140	166	0.0011	0.0011	NUM
easat-10155	140	167	average	average	ADJ
easat-10155	140	168	deviation	deviation	NOUN
easat-10155	140	169	0.0019	0.0019	NUM
easat-10155	140	170	average	average	ADJ
easat-10155	140	171	deviation	deviation	NOUN
easat-10155	140	172	0.0034	0.0034	NUM
easat-10155	140	173	1477	1477	NUM
easat-10155	140	174	edelweiss	edelweiss	PROPN
easat-10155	140	175	applied	apply	VERB
easat-10155	140	176	science	science	NOUN
easat-10155	140	177	and	and	CCONJ
easat-10155	140	178	technology	technology	NOUN
easat-10155	140	179	issn	issn	PROPN
easat-10155	140	180	:	:	PUNCT
easat-10155	140	181	2576	2576	NUM
easat-10155	140	182	-	-	SYM
easat-10155	140	183	8484	8484	NUM
easat-10155	140	184	vol	vol	NOUN
easat-10155	140	185	.	.	PROPN
easat-10155	141	1	9	9	NUM
easat-10155	141	2	,	,	PUNCT
easat-10155	141	3	no	no	INTJ
easat-10155	141	4	.	.	NOUN
easat-10155	141	5	9	9	NUM
easat-10155	141	6	:	:	SYM
easat-10155	141	7	1471	1471	NUM
easat-10155	141	8	-	-	SYM
easat-10155	141	9	1483	1483	NUM
easat-10155	141	10	,	,	PUNCT
easat-10155	141	11	2025	2025	NUM
easat-10155	141	12	doi	doi	NOUN
easat-10155	141	13	:	:	PUNCT
easat-10155	141	14	10.55214/2576	10.55214/2576	NUM
easat-10155	141	15	-	-	SYM
easat-10155	141	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	141	17	©	©	ADP
easat-10155	141	18	2025	2025	NUM
easat-10155	141	19	by	by	ADP
easat-10155	141	20	the	the	DET
easat-10155	141	21	authors	author	NOUN
easat-10155	141	22	;	;	PUNCT
easat-10155	141	23	licensee	licensee	PROPN
easat-10155	141	24	learning	learning	NOUN
easat-10155	141	25	gate	gate	VERB
easat-10155	141	26	3.3	3.3	NUM
easat-10155	141	27	.	.	PUNCT
easat-10155	142	1	parametric	parametric	ADJ
easat-10155	142	2	analysis	analysis	NOUN
easat-10155	142	3	of	of	ADP
easat-10155	142	4	concentration	concentration	NOUN
easat-10155	142	5	and	and	CCONJ
easat-10155	142	6	current	current	ADJ
easat-10155	142	7	figure	figure	NOUN
easat-10155	142	8	2	2	NUM
easat-10155	142	9	.	.	PUNCT
easat-10155	143	1	(	(	PUNCT
easat-10155	143	2	a	a	DET
easat-10155	143	3	,	,	PUNCT
easat-10155	143	4	b	b	NOUN
easat-10155	143	5	)	)	PUNCT
easat-10155	143	6	.	.	PUNCT
easat-10155	144	1	(	(	PUNCT
easat-10155	144	2	a	a	X
easat-10155	144	3	)	)	PUNCT
easat-10155	144	4	.	.	PUNCT
easat-10155	145	1	comparison	comparison	NOUN
easat-10155	145	2	of	of	ADP
easat-10155	145	3	dimensionless	dimensionless	NOUN
easat-10155	145	4	concentration	concentration	NOUN
easat-10155	145	5	𝑈	𝑈	PROPN
easat-10155	145	6	were	be	AUX
easat-10155	145	7	calculated	calculate	VERB
easat-10155	145	8	using	use	VERB
easat-10155	145	9	eq	eq	ADP
easat-10155	145	10	.	.	PUNCT
easat-10155	146	1	(	(	PUNCT
easat-10155	146	2	14	14	NUM
easat-10155	146	3	)	)	PUNCT
easat-10155	146	4	and	and	CCONJ
easat-10155	146	5	eq	eq	NOUN
easat-10155	146	6	.	.	PUNCT
easat-10155	147	1	(	(	PUNCT
easat-10155	147	2	20	20	NUM
easat-10155	147	3	)	)	PUNCT
easat-10155	147	4	.	.	PUNCT
easat-10155	148	1	(	(	PUNCT
easat-10155	148	2	b	b	X
easat-10155	148	3	)	)	PUNCT
easat-10155	148	4	shows	show	VERB
easat-10155	148	5	the	the	DET
easat-10155	148	6	steady	steady	ADJ
easat-10155	148	7	state	state	NOUN
easat-10155	148	8	of	of	ADP
easat-10155	148	9	dimensionless	dimensionless	NOUN
easat-10155	148	10	concentration	concentration	NOUN
easat-10155	148	11	𝑈.	𝑈.	NOUN
easat-10155	148	12	in	in	ADP
easat-10155	148	13	figure	figure	NOUN
easat-10155	148	14	2(a	2(a	NUM
easat-10155	148	15	)	)	PUNCT
easat-10155	148	16	at	at	ADP
easat-10155	148	17	small	small	ADJ
easat-10155	148	18	time	time	NOUN
easat-10155	148	19	the	the	DET
easat-10155	148	20	concentration	concentration	NOUN
easat-10155	148	21	rapidly	rapidly	ADV
easat-10155	148	22	increases	increase	VERB
easat-10155	148	23	with	with	ADP
easat-10155	148	24	distance	distance	NOUN
easat-10155	148	25	,	,	PUNCT
easat-10155	148	26	reaching	reach	VERB
easat-10155	148	27	a	a	DET
easat-10155	148	28	nearly	nearly	ADV
easat-10155	148	29	steady	steady	ADJ
easat-10155	148	30	-	-	PUNCT
easat-10155	148	31	state	state	NOUN
easat-10155	148	32	.	.	PUNCT
easat-10155	149	1	as	as	ADP
easat-10155	149	2	t	t	PROPN
easat-10155	149	3	increases	increase	NOUN
easat-10155	149	4	(	(	PUNCT
easat-10155	149	5	i.e.	i.e.	X
easat-10155	149	6	𝑇	𝑇	PROPN
easat-10155	149	7	=	=	SYM
easat-10155	149	8	1,3,5,10	1,3,5,10	NUM
easat-10155	149	9	)	)	PUNCT
easat-10155	149	10	,	,	PUNCT
easat-10155	149	11	the	the	DET
easat-10155	149	12	concentration	concentration	NOUN
easat-10155	149	13	profile	profile	NOUN
easat-10155	149	14	smoothens	smoothen	VERB
easat-10155	149	15	and	and	CCONJ
easat-10155	149	16	extends	extend	VERB
easat-10155	149	17	further	far	ADV
easat-10155	149	18	into	into	ADP
easat-10155	149	19	the	the	DET
easat-10155	149	20	domain	domain	NOUN
easat-10155	149	21	.	.	PUNCT
easat-10155	150	1	also	also	ADV
easat-10155	150	2	,	,	PUNCT
easat-10155	150	3	clear	clear	ADJ
easat-10155	150	4	that	that	SCONJ
easat-10155	150	5	as	as	ADP
easat-10155	150	6	time	time	NOUN
easat-10155	150	7	increases	increase	NOUN
easat-10155	150	8	,	,	PUNCT
easat-10155	150	9	the	the	DET
easat-10155	150	10	concentration	concentration	NOUN
easat-10155	150	11	value	value	NOUN
easat-10155	150	12	rises	rise	NOUN
easat-10155	150	13	and	and	CCONJ
easat-10155	150	14	concentration	concentration	NOUN
easat-10155	150	15	value	value	NOUN
easat-10155	150	16	is	be	AUX
easat-10155	150	17	the	the	DET
easat-10155	150	18	same	same	ADJ
easat-10155	150	19	(	(	PUNCT
easat-10155	150	20	i.e.	i.e.	X
easat-10155	150	21	𝑈	𝑈	NOUN
easat-10155	150	22	=	=	SYM
easat-10155	150	23	1	1	NUM
easat-10155	150	24	)	)	PUNCT
easat-10155	150	25	when	when	SCONJ
easat-10155	150	26	𝜌	𝜌	X
easat-10155	150	27	≥	≥	X
easat-10155	150	28	10	10	NUM
easat-10155	150	29	for	for	ADP
easat-10155	150	30	all	all	DET
easat-10155	150	31	values	value	NOUN
easat-10155	150	32	of	of	ADP
easat-10155	150	33	time	time	NOUN
easat-10155	150	34	t.	t.	PROPN
easat-10155	150	35	the	the	DET
easat-10155	150	36	system	system	NOUN
easat-10155	150	37	appears	appear	VERB
easat-10155	150	38	to	to	PART
easat-10155	150	39	describe	describe	VERB
easat-10155	150	40	a	a	DET
easat-10155	150	41	diffusion	diffusion	NOUN
easat-10155	150	42	-	-	PUNCT
easat-10155	150	43	like	like	ADJ
easat-10155	150	44	process	process	NOUN
easat-10155	150	45	where	where	SCONJ
easat-10155	150	46	concentration	concentration	NOUN
easat-10155	150	47	gradually	gradually	ADV
easat-10155	150	48	reaches	reach	VERB
easat-10155	150	49	equilibrium	equilibrium	NOUN
easat-10155	150	50	.	.	PUNCT
easat-10155	151	1	the	the	DET
easat-10155	151	2	boundary	boundary	ADJ
easat-10155	151	3	conditions	condition	NOUN
easat-10155	151	4	likely	likely	ADV
easat-10155	151	5	enforce	enforce	VERB
easat-10155	151	6	a	a	DET
easat-10155	151	7	high	high	ADJ
easat-10155	151	8	concentration	concentration	NOUN
easat-10155	151	9	when	when	SCONJ
easat-10155	151	10	2	2	NUM
easat-10155	151	11	≤	≤	NOUN
easat-10155	151	12	𝜌	𝜌	ADP
easat-10155	151	13	≤	≤	ADV
easat-10155	151	14	4	4	NUM
easat-10155	151	15	and	and	CCONJ
easat-10155	151	16	also	also	ADV
easat-10155	151	17	fig	fig	NOUN
easat-10155	151	18	.	.	PUNCT
easat-10155	152	1	2(b	2(b	NUM
easat-10155	152	2	)	)	PUNCT
easat-10155	152	3	shows	show	VERB
easat-10155	152	4	the	the	DET
easat-10155	152	5	steady	steady	ADJ
easat-10155	152	6	-	-	PUNCT
easat-10155	152	7	state	state	NOUN
easat-10155	152	8	concentration	concentration	NOUN
easat-10155	152	9	𝑈	𝑈	PROPN
easat-10155	152	10	at	at	ADP
easat-10155	152	11	𝑇	𝑇	PROPN
easat-10155	152	12	≥	≥	NUM
easat-10155	152	13	100.from	100.from	NUM
easat-10155	152	14	the	the	DET
easat-10155	152	15	equation	equation	NOUN
easat-10155	152	16	(	(	PUNCT
easat-10155	152	17	20	20	NUM
easat-10155	152	18	)	)	PUNCT
easat-10155	152	19	and	and	CCONJ
easat-10155	152	20	fig.2(a	fig.2(a	NOUN
easat-10155	152	21	,	,	PUNCT
easat-10155	152	22	b	b	X
easat-10155	152	23	)	)	PUNCT
easat-10155	152	24	it	it	PRON
easat-10155	152	25	is	be	AUX
easat-10155	152	26	observed	observe	VERB
easat-10155	152	27	that	that	SCONJ
easat-10155	152	28	the	the	DET
easat-10155	152	29	concentration	concentration	NOUN
easat-10155	152	30	of	of	ADP
easat-10155	152	31	u	u	NOUN
easat-10155	152	32	is	be	AUX
easat-10155	152	33	minimum	minimum	ADJ
easat-10155	152	34	at	at	ADP
easat-10155	152	35	𝜌	𝜌	X
easat-10155	152	36	=	=	SYM
easat-10155	152	37	1	1	NUM
easat-10155	152	38	and	and	CCONJ
easat-10155	152	39	minimum	minimum	NOUN
easat-10155	152	40	value	value	NOUN
easat-10155	152	41	is	be	AUX
easat-10155	152	42	0.5.the	0.5.the	DET
easat-10155	152	43	concentration	concentration	NOUN
easat-10155	152	44	of	of	ADP
easat-10155	152	45	u	u	NOUN
easat-10155	152	46	has	have	AUX
easat-10155	152	47	been	be	AUX
easat-10155	152	48	estimated	estimate	VERB
easat-10155	152	49	to	to	PART
easat-10155	152	50	be	be	AUX
easat-10155	152	51	maximal	maximal	ADJ
easat-10155	152	52	when	when	SCONJ
easat-10155	152	53	ρ	ρ	PROPN
easat-10155	152	54	=	=	SYM
easat-10155	152	55	10	10	NUM
easat-10155	152	56	,	,	PUNCT
easat-10155	152	57	with	with	ADP
easat-10155	152	58	a	a	DET
easat-10155	152	59	peak	peak	NOUN
easat-10155	152	60	value	value	NOUN
easat-10155	152	61	of	of	ADP
easat-10155	152	62	one	one	NUM
easat-10155	152	63	.	.	PUNCT
easat-10155	153	1	1478	1478	NUM
easat-10155	153	2	edelweiss	edelweiss	PROPN
easat-10155	153	3	applied	apply	VERB
easat-10155	153	4	science	science	NOUN
easat-10155	153	5	and	and	CCONJ
easat-10155	153	6	technology	technology	NOUN
easat-10155	153	7	issn	issn	PROPN
easat-10155	153	8	:	:	PUNCT
easat-10155	153	9	2576	2576	NUM
easat-10155	153	10	-	-	SYM
easat-10155	153	11	8484	8484	NUM
easat-10155	153	12	vol	vol	NOUN
easat-10155	153	13	.	.	PROPN
easat-10155	154	1	9	9	NUM
easat-10155	154	2	,	,	PUNCT
easat-10155	154	3	no	no	INTJ
easat-10155	154	4	.	.	NOUN
easat-10155	154	5	9	9	NUM
easat-10155	154	6	:	:	SYM
easat-10155	154	7	1471	1471	NUM
easat-10155	154	8	-	-	SYM
easat-10155	154	9	1483	1483	NUM
easat-10155	154	10	,	,	PUNCT
easat-10155	154	11	2025	2025	NUM
easat-10155	154	12	doi	doi	NOUN
easat-10155	154	13	:	:	PUNCT
easat-10155	154	14	10.55214/2576	10.55214/2576	NUM
easat-10155	154	15	-	-	SYM
easat-10155	154	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	154	17	©	©	ADP
easat-10155	154	18	2025	2025	NUM
easat-10155	154	19	by	by	ADP
easat-10155	154	20	the	the	DET
easat-10155	154	21	authors	author	NOUN
easat-10155	154	22	;	;	PUNCT
easat-10155	154	23	licensee	licensee	PROPN
easat-10155	154	24	learning	learn	VERB
easat-10155	154	25	gate	gate	PROPN
easat-10155	154	26	figure	figure	NOUN
easat-10155	154	27	3	3	NUM
easat-10155	154	28	.	.	PUNCT
easat-10155	155	1	(	(	PUNCT
easat-10155	155	2	a	a	DET
easat-10155	155	3	-	-	PUNCT
easat-10155	155	4	c	c	NOUN
easat-10155	155	5	)	)	PUNCT
easat-10155	155	6	comparison	comparison	NOUN
easat-10155	155	7	of	of	ADP
easat-10155	155	8	concentration	concentration	NOUN
easat-10155	155	9	𝑉	𝑉	PROPN
easat-10155	155	10	using	use	VERB
easat-10155	155	11	eq	eq	ADP
easat-10155	155	12	.	.	PUNCT
easat-10155	156	1	(	(	PUNCT
easat-10155	156	2	15	15	NUM
easat-10155	156	3	)	)	PUNCT
easat-10155	156	4	for	for	ADP
easat-10155	156	5	various	various	ADJ
easat-10155	156	6	values	value	NOUN
easat-10155	156	7	of	of	ADP
easat-10155	156	8	t	t	PROPN
easat-10155	156	9	(	(	PUNCT
easat-10155	156	10	a	a	NOUN
easat-10155	156	11	)	)	PUNCT
easat-10155	156	12	when	when	SCONJ
easat-10155	156	13	𝑚	𝑚	X
easat-10155	156	14	=	=	SYM
easat-10155	156	15	0.1	0.1	NUM
easat-10155	156	16	(	(	PUNCT
easat-10155	156	17	b	b	NOUN
easat-10155	156	18	)	)	PUNCT
easat-10155	156	19	when	when	SCONJ
easat-10155	156	20	𝑚	𝑚	X
easat-10155	156	21	=	=	VERB
easat-10155	156	22	0.01	0.01	NUM
easat-10155	156	23	(	(	PUNCT
easat-10155	156	24	c	c	X
easat-10155	156	25	)	)	PUNCT
easat-10155	156	26	various	various	ADJ
easat-10155	156	27	values	value	NOUN
easat-10155	156	28	of	of	ADP
easat-10155	156	29	m	m	PROPN
easat-10155	156	30	(	(	PUNCT
easat-10155	156	31	dimensionless	dimensionless	NOUN
easat-10155	156	32	parameter	parameter	NOUN
easat-10155	156	33	)	)	PUNCT
easat-10155	156	34	.	.	PUNCT
easat-10155	157	1	in	in	ADP
easat-10155	157	2	figure	figure	NOUN
easat-10155	157	3	3(a	3(a	NUM
easat-10155	157	4	)	)	PUNCT
easat-10155	157	5	and	and	CCONJ
easat-10155	157	6	3(b	3(b	NUM
easat-10155	157	7	)	)	PUNCT
easat-10155	157	8	plots	plot	NOUN
easat-10155	157	9	the	the	DET
easat-10155	157	10	𝑉(𝜌	𝑉(𝜌	PROPN
easat-10155	157	11	,	,	PUNCT
easat-10155	157	12	𝑇	𝑇	PROPN
easat-10155	157	13	)	)	PUNCT
easat-10155	157	14	for	for	ADP
easat-10155	157	15	a	a	DET
easat-10155	157	16	range	range	NOUN
easat-10155	157	17	of	of	ADP
easat-10155	157	18	distance	distance	NOUN
easat-10155	157	19	𝜌	𝜌	X
easat-10155	157	20	for	for	ADP
easat-10155	157	21	various	various	ADJ
easat-10155	157	22	value	value	NOUN
easat-10155	157	23	of	of	ADP
easat-10155	157	24	dimensionless	dimensionless	NOUN
easat-10155	157	25	time	time	NOUN
easat-10155	157	26	𝑇when	𝑇when	PROPN
easat-10155	157	27	parameter	parameter	NOUN
easat-10155	157	28	𝑚	𝑚	NOUN
easat-10155	157	29	=	=	SYM
easat-10155	157	30	0.1	0.1	NUM
easat-10155	157	31	and	and	CCONJ
easat-10155	157	32	𝑚	𝑚	X
easat-10155	157	33	=	=	PUNCT
easat-10155	157	34	0.01respectively	0.01respectively	PROPN
easat-10155	157	35	.	.	PUNCT
easat-10155	158	1	here	here	ADV
easat-10155	158	2	the	the	DET
easat-10155	158	3	value	value	NOUN
easat-10155	158	4	of	of	ADP
easat-10155	158	5	𝑉(𝜌	𝑉(𝜌	PROPN
easat-10155	158	6	,	,	PUNCT
easat-10155	158	7	𝑇	𝑇	PROPN
easat-10155	158	8	)	)	PUNCT
easat-10155	158	9	is	be	AUX
easat-10155	158	10	high	high	ADJ
easat-10155	158	11	when	when	SCONJ
easat-10155	158	12	𝑇	𝑇	PROPN
easat-10155	158	13	increases	increase	NOUN
easat-10155	158	14	and	and	CCONJ
easat-10155	158	15	its	its	PRON
easat-10155	158	16	value	value	NOUN
easat-10155	158	17	is	be	AUX
easat-10155	158	18	equal	equal	ADJ
easat-10155	158	19	(	(	PUNCT
easat-10155	158	20	i.e.	i.e.	X
easat-10155	158	21	𝑉	𝑉	X
easat-10155	158	22	=	=	NOUN
easat-10155	158	23	0	0	NUM
easat-10155	158	24	)	)	PUNCT
easat-10155	158	25	for	for	ADP
easat-10155	158	26	all	all	DET
easat-10155	158	27	values	value	NOUN
easat-10155	158	28	of	of	ADP
easat-10155	158	29	time	time	NOUN
easat-10155	158	30	𝑇	𝑇	PROPN
easat-10155	158	31	at	at	ADP
easat-10155	158	32	𝜌	𝜌	X
easat-10155	158	33	≥	≥	NUM
easat-10155	158	34	10	10	NUM
easat-10155	158	35	.	.	PUNCT
easat-10155	159	1	if	if	SCONJ
easat-10155	159	2	larger	large	ADJ
easat-10155	159	3	𝑚	𝑚	X
easat-10155	159	4	(	(	PUNCT
easat-10155	159	5	𝑚	𝑚	NOUN
easat-10155	159	6	=	=	SYM
easat-10155	159	7	0.1	0.1	NUM
easat-10155	159	8	)	)	PUNCT
easat-10155	159	9	leads	lead	VERB
easat-10155	159	10	to	to	ADP
easat-10155	159	11	a	a	DET
easat-10155	159	12	slower	slow	ADJ
easat-10155	159	13	concentration	concentration	NOUN
easat-10155	159	14	decay	decay	NOUN
easat-10155	159	15	while	while	SCONJ
easat-10155	159	16	smaller	small	ADJ
easat-10155	159	17	𝑚	𝑚	PROPN
easat-10155	159	18	(	(	PUNCT
easat-10155	159	19	𝑚	𝑚	NOUN
easat-10155	159	20	=	=	SYM
easat-10155	159	21	0.01	0.01	NUM
easat-10155	159	22	)	)	PUNCT
easat-10155	159	23	results	result	NOUN
easat-10155	159	24	in	in	ADP
easat-10155	159	25	a	a	DET
easat-10155	159	26	more	more	ADV
easat-10155	159	27	rapid	rapid	ADJ
easat-10155	159	28	drop	drop	NOUN
easat-10155	159	29	in	in	ADP
easat-10155	159	30	1479	1479	NUM
easat-10155	159	31	edelweiss	edelweiss	PROPN
easat-10155	159	32	applied	apply	VERB
easat-10155	159	33	science	science	NOUN
easat-10155	159	34	and	and	CCONJ
easat-10155	159	35	technology	technology	NOUN
easat-10155	159	36	issn	issn	PROPN
easat-10155	159	37	:	:	PUNCT
easat-10155	159	38	2576	2576	NUM
easat-10155	159	39	-	-	SYM
easat-10155	159	40	8484	8484	NUM
easat-10155	159	41	vol	vol	NOUN
easat-10155	159	42	.	.	PROPN
easat-10155	160	1	9	9	NUM
easat-10155	160	2	,	,	PUNCT
easat-10155	160	3	no	no	INTJ
easat-10155	160	4	.	.	NOUN
easat-10155	160	5	9	9	NUM
easat-10155	160	6	:	:	SYM
easat-10155	160	7	1471	1471	NUM
easat-10155	160	8	-	-	SYM
easat-10155	160	9	1483	1483	NUM
easat-10155	160	10	,	,	PUNCT
easat-10155	160	11	2025	2025	NUM
easat-10155	160	12	doi	doi	NOUN
easat-10155	160	13	:	:	PUNCT
easat-10155	160	14	10.55214/2576	10.55214/2576	NUM
easat-10155	160	15	-	-	SYM
easat-10155	160	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	160	17	©	©	ADP
easat-10155	160	18	2025	2025	NUM
easat-10155	160	19	by	by	ADP
easat-10155	160	20	the	the	DET
easat-10155	160	21	authors	author	NOUN
easat-10155	160	22	;	;	PUNCT
easat-10155	160	23	licensee	licensee	PROPN
easat-10155	160	24	learning	learn	VERB
easat-10155	160	25	gate	gate	PROPN
easat-10155	160	26	concentration	concentration	NOUN
easat-10155	160	27	.	.	PUNCT
easat-10155	161	1	according	accord	VERB
easat-10155	161	2	to	to	ADP
easat-10155	161	3	equation	equation	NOUN
easat-10155	161	4	(	(	PUNCT
easat-10155	161	5	21	21	NUM
easat-10155	161	6	)	)	PUNCT
easat-10155	161	7	and	and	CCONJ
easat-10155	161	8	figure	figure	VERB
easat-10155	161	9	2(a	2(a	NUM
easat-10155	161	10	,	,	PUNCT
easat-10155	161	11	b	b	NOUN
easat-10155	161	12	)	)	PUNCT
easat-10155	161	13	,	,	PUNCT
easat-10155	161	14	the	the	DET
easat-10155	161	15	concentration	concentration	NOUN
easat-10155	161	16	of	of	ADP
easat-10155	161	17	v	v	NOUN
easat-10155	161	18	reaches	reach	VERB
easat-10155	161	19	its	its	PRON
easat-10155	161	20	maximum	maximum	NOUN
easat-10155	161	21	at	at	ADP
easat-10155	161	22	ρ=0	ρ=0	PUNCT
easat-10155	161	23	and	and	CCONJ
easat-10155	161	24	reaches	reach	VERB
easat-10155	161	25	its	its	PRON
easat-10155	161	26	maximum	maximum	ADJ
easat-10155	161	27	value	value	NOUN
easat-10155	161	28	of	of	ADP
easat-10155	161	29	0.5	0.5	NUM
easat-10155	161	30	.	.	PUNCT
easat-10155	161	31	figure	figure	NOUN
easat-10155	161	32	4	4	NUM
easat-10155	161	33	.	.	PUNCT
easat-10155	161	34	dimensionless	dimensionless	NOUN
easat-10155	161	35	current	current	NOUN
easat-10155	161	36	were	be	AUX
easat-10155	161	37	calculated	calculate	VERB
easat-10155	161	38	using	use	VERB
easat-10155	161	39	eq	eq	ADP
easat-10155	161	40	.	.	PUNCT
easat-10155	162	1	(	(	PUNCT
easat-10155	162	2	22	22	NUM
easat-10155	162	3	)	)	PUNCT
easat-10155	162	4	for	for	ADP
easat-10155	162	5	the	the	DET
easat-10155	162	6	various	various	ADJ
easat-10155	162	7	values	value	NOUN
easat-10155	162	8	of	of	ADP
easat-10155	162	9	parameter	parameter	PROPN
easat-10155	162	10	𝑚.	𝑚.	ADJ
easat-10155	162	11	figure	figure	NOUN
easat-10155	162	12	4	4	NUM
easat-10155	162	13	represents	represent	VERB
easat-10155	162	14	the	the	DET
easat-10155	162	15	variation	variation	NOUN
easat-10155	162	16	of	of	ADP
easat-10155	162	17	current	current	ADJ
easat-10155	162	18	over	over	ADP
easat-10155	162	19	time	time	NOUN
easat-10155	162	20	t	t	NOUN
easat-10155	162	21	for	for	ADP
easat-10155	162	22	various	various	ADJ
easat-10155	162	23	values	value	NOUN
easat-10155	162	24	of	of	ADP
easat-10155	162	25	m.	m.	NOUN
easat-10155	162	26	the	the	DET
easat-10155	162	27	dimensionless	dimensionless	NOUN
easat-10155	162	28	current	current	ADJ
easat-10155	162	29	starts	start	VERB
easat-10155	162	30	from	from	ADP
easat-10155	162	31	a	a	DET
easat-10155	162	32	lower	low	ADJ
easat-10155	162	33	value	value	NOUN
easat-10155	162	34	and	and	CCONJ
easat-10155	162	35	increases	increase	NOUN
easat-10155	162	36	as	as	SCONJ
easat-10155	162	37	time	time	NOUN
easat-10155	162	38	progresses	progress	VERB
easat-10155	162	39	.	.	PUNCT
easat-10155	163	1	as	as	ADP
easat-10155	163	2	t	t	PROPN
easat-10155	163	3	increases	increase	NOUN
easat-10155	163	4	,	,	PUNCT
easat-10155	163	5	the	the	DET
easat-10155	163	6	system	system	NOUN
easat-10155	163	7	becomes	become	VERB
easat-10155	163	8	more	more	ADV
easat-10155	163	9	stable	stable	ADJ
easat-10155	163	10	,	,	PUNCT
easat-10155	163	11	causing	cause	VERB
easat-10155	163	12	the	the	DET
easat-10155	163	13	current	current	NOUN
easat-10155	163	14	to	to	PART
easat-10155	163	15	change	change	VERB
easat-10155	163	16	.	.	PUNCT
easat-10155	164	1	a	a	DET
easat-10155	164	2	higher	high	ADJ
easat-10155	164	3	m	m	VERB
easat-10155	164	4	likely	likely	ADV
easat-10155	164	5	means	mean	VERB
easat-10155	164	6	faster	fast	ADJ
easat-10155	164	7	transport	transport	NOUN
easat-10155	164	8	or	or	CCONJ
easat-10155	164	9	diffusion	diffusion	NOUN
easat-10155	164	10	,	,	PUNCT
easat-10155	164	11	leading	lead	VERB
easat-10155	164	12	to	to	ADP
easat-10155	164	13	a	a	DET
easat-10155	164	14	more	more	ADV
easat-10155	164	15	pronounced	pronounced	ADJ
easat-10155	164	16	increase	increase	NOUN
easat-10155	164	17	in	in	ADP
easat-10155	164	18	current	current	ADJ
easat-10155	164	19	.	.	PUNCT
easat-10155	165	1	a	a	DET
easat-10155	165	2	comparison	comparison	NOUN
easat-10155	165	3	between	between	ADP
easat-10155	165	4	the	the	DET
easat-10155	165	5	analytical	analytical	ADJ
easat-10155	165	6	and	and	CCONJ
easat-10155	165	7	simulation	simulation	NOUN
easat-10155	165	8	results	result	NOUN
easat-10155	165	9	for	for	ADP
easat-10155	165	10	different	different	ADJ
easat-10155	165	11	values	value	NOUN
easat-10155	165	12	of	of	ADP
easat-10155	165	13	m	m	PROPN
easat-10155	165	14	is	be	AUX
easat-10155	165	15	provided	provide	VERB
easat-10155	165	16	in	in	ADP
easat-10155	165	17	table	table	NOUN
easat-10155	165	18	3	3	NUM
easat-10155	165	19	.	.	PUNCT
easat-10155	166	1	the	the	DET
easat-10155	166	2	highest	high	ADJ
easat-10155	166	3	deviation	deviation	NOUN
easat-10155	166	4	between	between	ADP
easat-10155	166	5	the	the	DET
easat-10155	166	6	analytical	analytical	ADJ
easat-10155	166	7	predictions	prediction	NOUN
easat-10155	166	8	and	and	CCONJ
easat-10155	166	9	numerical	numerical	ADJ
easat-10155	166	10	simulations	simulation	NOUN
easat-10155	166	11	,	,	PUNCT
easat-10155	166	12	observed	observe	VERB
easat-10155	166	13	across	across	ADP
easat-10155	166	14	tables	table	NOUN
easat-10155	166	15	1	1	NUM
easat-10155	166	16	to	to	PART
easat-10155	166	17	3	3	NUM
easat-10155	166	18	,	,	PUNCT
easat-10155	166	19	is	be	AUX
easat-10155	166	20	0.4071	0.4071	NUM
easat-10155	166	21	.	.	PUNCT
easat-10155	167	1	table	table	NOUN
easat-10155	167	2	3	3	NUM
easat-10155	167	3	.	.	PUNCT
easat-10155	167	4	comparison	comparison	NOUN
easat-10155	167	5	of	of	ADP
easat-10155	167	6	the	the	DET
easat-10155	167	7	analytical	analytical	ADJ
easat-10155	167	8	results	result	NOUN
easat-10155	167	9	of	of	ADP
easat-10155	167	10	the	the	DET
easat-10155	167	11	current	current	NOUN
easat-10155	167	12	with	with	ADP
easat-10155	167	13	simulation	simulation	NOUN
easat-10155	167	14	result	result	PROPN
easat-10155	167	15	.	.	PUNCT
easat-10155	168	1	dimensionless	dimensionless	NOUN
easat-10155	168	2	current	current	NOUN
easat-10155	168	3	i	i	PRON
easat-10155	168	4	𝑇	𝑇	PROPN
easat-10155	168	5	m=0.1	m=0.1	NOUN
easat-10155	168	6	m=0.5	m=0.5	PROPN
easat-10155	168	7	m=1	m=1	PROPN
easat-10155	168	8	numerical	numerical	ADJ
easat-10155	168	9	analytical	analytical	ADJ
easat-10155	168	10	rjm	rjm	NOUN
easat-10155	168	11	eq	eq	ADP
easat-10155	168	12	.	.	PUNCT
easat-10155	169	1	(	(	PUNCT
easat-10155	169	2	22	22	NUM
easat-10155	169	3	)	)	PUNCT
easat-10155	169	4	deviation	deviation	NOUN
easat-10155	169	5	numerical	numerical	ADJ
easat-10155	169	6	analytical	analytical	ADJ
easat-10155	169	7	rjm	rjm	NOUN
easat-10155	169	8	eq	eq	ADP
easat-10155	169	9	.	.	PUNCT
easat-10155	170	1	(	(	PUNCT
easat-10155	170	2	22	22	NUM
easat-10155	170	3	)	)	PUNCT
easat-10155	170	4	deviation	deviation	NOUN
easat-10155	170	5	numerical	numerical	ADJ
easat-10155	170	6	analytical	analytical	ADJ
easat-10155	170	7	rjm	rjm	NOUN
easat-10155	170	8	eq	eq	ADP
easat-10155	170	9	.	.	PUNCT
easat-10155	171	1	(	(	PUNCT
easat-10155	171	2	22	22	NUM
easat-10155	171	3	)	)	PUNCT
easat-10155	171	4	deviation	deviation	NOUN
easat-10155	171	5	5	5	NUM
easat-10155	171	6	0.0004	0.0004	NUM
easat-10155	171	7	0.0002	0.0002	NUM
easat-10155	171	8	0.0002	0.0002	NUM
easat-10155	171	9	0.8299	0.8299	NUM
easat-10155	171	10	0.3143	0.3143	NUM
easat-10155	171	11	0.5156	0.5156	NUM
easat-10155	171	12	2.2199	2.2199	NUM
easat-10155	171	13	1.2548	1.2548	NUM
easat-10155	171	14	0.9651	0.9651	NUM
easat-10155	171	15	10	10	NUM
easat-10155	171	16	0.0073	0.0073	NUM
easat-10155	171	17	0.0051	0.0051	NUM
easat-10155	171	18	0.0022	0.0022	NUM
easat-10155	171	19	1.4792	1.4792	NUM
easat-10155	171	20	1.1069	1.1069	NUM
easat-10155	171	21	0.3723	0.3723	NUM
easat-10155	171	22	3.5194	3.5194	NUM
easat-10155	171	23	2.8031	2.8031	NUM
easat-10155	171	24	0.7163	0.7163	NUM
easat-10155	171	25	20	20	NUM
easat-10155	171	26	0.0997	0.0997	NUM
easat-10155	171	27	0.0631	0.0631	NUM
easat-10155	171	28	0.0366	0.0366	NUM
easat-10155	171	29	2.7788	2.7788	NUM
easat-10155	171	30	2.5678	2.5678	NUM
easat-10155	171	31	0.2110	0.2110	NUM
easat-10155	172	1	6.1178	6.1178	NUM
easat-10155	172	2	5.6988	5.6988	NUM
easat-10155	172	3	0.4190	0.4190	NUM
easat-10155	172	4	30	30	NUM
easat-10155	172	5	0.3594	0.3594	NUM
easat-10155	172	6	0.3530	0.3530	NUM
easat-10155	172	7	0.0064	0.0064	NUM
easat-10155	172	8	4.0775	4.0775	NUM
easat-10155	172	9	3.9712	3.9712	NUM
easat-10155	172	10	0.1063	0.1063	NUM
easat-10155	172	11	8.7151	8.7151	NUM
easat-10155	172	12	8.4940	8.4940	NUM
easat-10155	172	13	0.2211	0.2211	NUM
easat-10155	172	14	40	40	NUM
easat-10155	172	15	0.6189	0.6189	NUM
easat-10155	172	16	0.6338	0.6338	NUM
easat-10155	172	17	0.0149	0.0149	NUM
easat-10155	172	18	5.3755	5.3755	NUM
easat-10155	172	19	5.3477	5.3477	NUM
easat-10155	172	20	0.0278	0.0278	NUM
easat-10155	172	21	11.3113	11.3113	NUM
easat-10155	172	22	11.2391	11.2391	NUM
easat-10155	172	23	0.0722	0.0722	NUM
easat-10155	172	24	50	50	NUM
easat-10155	172	25	0.8783	0.8783	NUM
easat-10155	172	26	0.9096	0.9096	NUM
easat-10155	172	27	0.0313	0.0313	NUM
easat-10155	172	28	6.6730	6.6730	NUM
easat-10155	172	29	6.7077	6.7077	NUM
easat-10155	172	30	0.0347	0.0347	NUM
easat-10155	172	31	13.9065	13.9065	NUM
easat-10155	172	32	13.9553	13.9553	NUM
easat-10155	172	33	0.0488	0.0488	NUM
easat-10155	172	34	average	average	ADJ
easat-10155	172	35	deviation	deviation	NOUN
easat-10155	172	36	0.0153	0.0153	NUM
easat-10155	172	37	average	average	ADJ
easat-10155	172	38	deviation	deviation	NOUN
easat-10155	172	39	0.2113	0.2113	NUM
easat-10155	172	40	average	average	ADJ
easat-10155	172	41	deviation	deviation	NOUN
easat-10155	172	42	0.4071	0.4071	NUM
easat-10155	172	43	1480	1480	NUM
easat-10155	172	44	edelweiss	edelweiss	PROPN
easat-10155	172	45	applied	apply	VERB
easat-10155	172	46	science	science	NOUN
easat-10155	172	47	and	and	CCONJ
easat-10155	172	48	technology	technology	NOUN
easat-10155	172	49	issn	issn	PROPN
easat-10155	172	50	:	:	PUNCT
easat-10155	172	51	2576	2576	NUM
easat-10155	172	52	-	-	SYM
easat-10155	172	53	8484	8484	NUM
easat-10155	172	54	vol	vol	NOUN
easat-10155	172	55	.	.	PROPN
easat-10155	173	1	9	9	NUM
easat-10155	173	2	,	,	PUNCT
easat-10155	173	3	no	no	INTJ
easat-10155	173	4	.	.	NOUN
easat-10155	173	5	9	9	NUM
easat-10155	173	6	:	:	SYM
easat-10155	173	7	1471	1471	NUM
easat-10155	173	8	-	-	SYM
easat-10155	173	9	1483	1483	NUM
easat-10155	173	10	,	,	PUNCT
easat-10155	173	11	2025	2025	NUM
easat-10155	173	12	doi	doi	NOUN
easat-10155	173	13	:	:	PUNCT
easat-10155	173	14	10.55214/2576	10.55214/2576	NUM
easat-10155	173	15	-	-	SYM
easat-10155	173	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	173	17	©	©	ADP
easat-10155	173	18	2025	2025	NUM
easat-10155	173	19	by	by	ADP
easat-10155	173	20	the	the	DET
easat-10155	173	21	authors	author	NOUN
easat-10155	173	22	;	;	PUNCT
easat-10155	173	23	licensee	licensee	PROPN
easat-10155	173	24	learning	learning	NOUN
easat-10155	173	25	gate	gate	NOUN
easat-10155	173	26	4	4	NUM
easat-10155	173	27	.	.	PUNCT
easat-10155	174	1	future	future	ADJ
easat-10155	174	2	scope	scope	NOUN
easat-10155	174	3	the	the	DET
easat-10155	174	4	homotopy	homotopy	NOUN
easat-10155	174	5	perturbation	perturbation	NOUN
easat-10155	174	6	method	method	NOUN
easat-10155	174	7	(	(	PUNCT
easat-10155	174	8	hpm	hpm	NOUN
easat-10155	174	9	)	)	PUNCT
easat-10155	174	10	offers	offer	VERB
easat-10155	174	11	a	a	DET
easat-10155	174	12	powerful	powerful	ADJ
easat-10155	174	13	framework	framework	NOUN
easat-10155	174	14	for	for	ADP
easat-10155	174	15	obtaining	obtain	VERB
easat-10155	174	16	accurate	accurate	ADJ
easat-10155	174	17	analytical	analytical	ADJ
easat-10155	174	18	approximations	approximation	NOUN
easat-10155	174	19	to	to	ADP
easat-10155	174	20	nonlinear	nonlinear	ADJ
easat-10155	174	21	boundary	boundary	ADJ
easat-10155	174	22	value	value	NOUN
easat-10155	174	23	problems	problem	NOUN
easat-10155	174	24	with	with	ADP
easat-10155	174	25	minimal	minimal	ADJ
easat-10155	174	26	computational	computational	ADJ
easat-10155	174	27	effort	effort	NOUN
easat-10155	174	28	.	.	PUNCT
easat-10155	175	1	its	its	PRON
easat-10155	175	2	versatility	versatility	NOUN
easat-10155	175	3	extends	extend	VERB
easat-10155	175	4	to	to	ADP
easat-10155	175	5	second	second	ADJ
easat-10155	175	6	-	-	PUNCT
easat-10155	175	7	order	order	NOUN
easat-10155	175	8	homogeneous	homogeneous	ADJ
easat-10155	175	9	kinetics	kinetic	NOUN
easat-10155	175	10	[	[	X
easat-10155	175	11	36	36	NUM
easat-10155	175	12	]	]	PUNCT
easat-10155	175	13	and	and	CCONJ
easat-10155	175	14	biological	biological	ADJ
easat-10155	175	15	wave	wave	NOUN
easat-10155	175	16	phenomena	phenomena	PROPN
easat-10155	175	17	[	[	X
easat-10155	175	18	37	37	NUM
easat-10155	175	19	]	]	PUNCT
easat-10155	175	20	.	.	PUNCT
easat-10155	176	1	similar	similar	ADJ
easat-10155	176	2	nonlinear	nonlinear	ADJ
easat-10155	176	3	initial	initial	ADJ
easat-10155	176	4	–	–	PUNCT
easat-10155	176	5	boundary	boundary	ADJ
easat-10155	176	6	value	value	NOUN
easat-10155	176	7	problems	problem	NOUN
easat-10155	176	8	arise	arise	VERB
easat-10155	176	9	in	in	ADP
easat-10155	176	10	diverse	diverse	ADJ
easat-10155	176	11	fields	field	NOUN
easat-10155	176	12	,	,	PUNCT
easat-10155	176	13	including	include	VERB
easat-10155	176	14	heat	heat	NOUN
easat-10155	176	15	propagation	propagation	NOUN
easat-10155	176	16	in	in	ADP
easat-10155	176	17	absorptive	absorptive	ADJ
easat-10155	176	18	media	medium	NOUN
easat-10155	176	19	,	,	PUNCT
easat-10155	176	20	thermal	thermal	ADJ
easat-10155	176	21	energy	energy	NOUN
easat-10155	176	22	transfer	transfer	NOUN
easat-10155	176	23	in	in	ADP
easat-10155	176	24	plasmas	plasma	NOUN
easat-10155	176	25	,	,	PUNCT
easat-10155	176	26	and	and	CCONJ
easat-10155	176	27	dead	dead	ADJ
easat-10155	176	28	-	-	PUNCT
easat-10155	176	29	core	core	NOUN
easat-10155	176	30	formation	formation	NOUN
easat-10155	176	31	processes	process	NOUN
easat-10155	176	32	[	[	X
easat-10155	176	33	38	38	NUM
easat-10155	176	34	]	]	PUNCT
easat-10155	176	35	.	.	PUNCT
easat-10155	177	1	the	the	DET
easat-10155	177	2	efficiency	efficiency	NOUN
easat-10155	177	3	of	of	ADP
easat-10155	177	4	hpm	hpm	NOUN
easat-10155	177	5	in	in	ADP
easat-10155	177	6	simplifying	simplify	VERB
easat-10155	177	7	nonlinear	nonlinear	ADJ
easat-10155	177	8	systems	system	NOUN
easat-10155	177	9	makes	make	VERB
easat-10155	177	10	it	it	PRON
easat-10155	177	11	particularly	particularly	ADV
easat-10155	177	12	valuable	valuable	ADJ
easat-10155	177	13	for	for	ADP
easat-10155	177	14	real	real	ADJ
easat-10155	177	15	-	-	PUNCT
easat-10155	177	16	time	time	NOUN
easat-10155	177	17	simulations	simulation	NOUN
easat-10155	177	18	and	and	CCONJ
easat-10155	177	19	for	for	ADP
easat-10155	177	20	bridging	bridge	VERB
easat-10155	177	21	empirical	empirical	ADJ
easat-10155	177	22	models	model	NOUN
easat-10155	177	23	with	with	ADP
easat-10155	177	24	theoretical	theoretical	ADJ
easat-10155	177	25	frameworks	framework	NOUN
easat-10155	177	26	,	,	PUNCT
easat-10155	177	27	thereby	thereby	ADV
easat-10155	177	28	advancing	advance	VERB
easat-10155	177	29	applications	application	NOUN
easat-10155	177	30	across	across	ADP
easat-10155	177	31	science	science	NOUN
easat-10155	177	32	and	and	CCONJ
easat-10155	177	33	engineering	engineering	NOUN
easat-10155	177	34	.	.	PUNCT
easat-10155	178	1	5	5	X
easat-10155	178	2	.	.	X
easat-10155	178	3	conclusion	conclusion	NOUN
easat-10155	178	4	this	this	DET
easat-10155	178	5	study	study	NOUN
easat-10155	178	6	developed	develop	VERB
easat-10155	178	7	and	and	CCONJ
easat-10155	178	8	analyzed	analyze	VERB
easat-10155	178	9	nonlinear	nonlinear	ADJ
easat-10155	178	10	transient	transient	ADJ
easat-10155	178	11	reaction	reaction	NOUN
easat-10155	178	12	–	–	PUNCT
easat-10155	178	13	diffusion	diffusion	NOUN
easat-10155	178	14	equations	equation	NOUN
easat-10155	178	15	describing	describe	VERB
easat-10155	178	16	a	a	DET
easat-10155	178	17	second	second	ADJ
easat-10155	178	18	-	-	PUNCT
easat-10155	178	19	order	order	NOUN
easat-10155	178	20	regeneration	regeneration	NOUN
easat-10155	178	21	process	process	NOUN
easat-10155	178	22	at	at	ADP
easat-10155	178	23	spherical	spherical	ADJ
easat-10155	178	24	microelectrodes	microelectrode	NOUN
easat-10155	178	25	with	with	ADP
easat-10155	178	26	equal	equal	ADJ
easat-10155	178	27	diffusion	diffusion	NOUN
easat-10155	178	28	coefficients	coefficient	NOUN
easat-10155	178	29	.	.	PUNCT
easat-10155	179	1	using	use	VERB
easat-10155	179	2	the	the	DET
easat-10155	179	3	homotopy	homotopy	NOUN
easat-10155	179	4	perturbation	perturbation	NOUN
easat-10155	179	5	method	method	NOUN
easat-10155	179	6	(	(	PUNCT
easat-10155	179	7	hpm	hpm	NOUN
easat-10155	179	8	)	)	PUNCT
easat-10155	179	9	,	,	PUNCT
easat-10155	179	10	convergent	convergent	ADJ
easat-10155	179	11	analytical	analytical	ADJ
easat-10155	179	12	solutions	solution	NOUN
easat-10155	179	13	were	be	AUX
easat-10155	179	14	obtained	obtain	VERB
easat-10155	179	15	,	,	PUNCT
easat-10155	179	16	effectively	effectively	ADV
easat-10155	179	17	capturing	capture	VERB
easat-10155	179	18	nonlinear	nonlinear	ADJ
easat-10155	179	19	dynamics	dynamic	NOUN
easat-10155	179	20	under	under	ADP
easat-10155	179	21	transient	transient	ADJ
easat-10155	179	22	conditions	condition	NOUN
easat-10155	179	23	.	.	PUNCT
easat-10155	180	1	the	the	DET
easat-10155	180	2	method	method	NOUN
easat-10155	180	3	successfully	successfully	ADV
easat-10155	180	4	addressed	address	VERB
easat-10155	180	5	nonlinearities	nonlinearitie	NOUN
easat-10155	180	6	from	from	ADP
easat-10155	180	7	second	second	ADJ
easat-10155	180	8	-	-	PUNCT
easat-10155	180	9	order	order	NOUN
easat-10155	180	10	kinetics	kinetic	NOUN
easat-10155	180	11	and	and	CCONJ
easat-10155	180	12	butler	butler	PROPN
easat-10155	180	13	–	–	PUNCT
easat-10155	180	14	volmer	volmer	NOUN
easat-10155	180	15	type	type	NOUN
easat-10155	180	16	boundary	boundary	ADJ
easat-10155	180	17	conditions	condition	NOUN
easat-10155	180	18	,	,	PUNCT
easat-10155	180	19	proving	prove	VERB
easat-10155	180	20	robust	robust	ADJ
easat-10155	180	21	for	for	ADP
easat-10155	180	22	curved	curved	ADJ
easat-10155	180	23	geometries	geometry	NOUN
easat-10155	180	24	.	.	PUNCT
easat-10155	181	1	these	these	DET
easat-10155	181	2	approximations	approximation	NOUN
easat-10155	181	3	provide	provide	VERB
easat-10155	181	4	insights	insight	NOUN
easat-10155	181	5	into	into	ADP
easat-10155	181	6	concentration	concentration	NOUN
easat-10155	181	7	profiles	profile	NOUN
easat-10155	181	8	and	and	CCONJ
easat-10155	181	9	fluxes	flux	NOUN
easat-10155	181	10	,	,	PUNCT
easat-10155	181	11	reducing	reduce	VERB
easat-10155	181	12	dependence	dependence	NOUN
easat-10155	181	13	on	on	ADP
easat-10155	181	14	numerical	numerical	ADJ
easat-10155	181	15	simulations	simulation	NOUN
easat-10155	181	16	.	.	PUNCT
easat-10155	182	1	beyond	beyond	ADP
easat-10155	182	2	theory	theory	NOUN
easat-10155	182	3	,	,	PUNCT
easat-10155	182	4	the	the	DET
easat-10155	182	5	approach	approach	NOUN
easat-10155	182	6	offers	offer	VERB
easat-10155	182	7	practical	practical	ADJ
easat-10155	182	8	implications	implication	NOUN
easat-10155	182	9	for	for	ADP
easat-10155	182	10	optimizing	optimize	VERB
easat-10155	182	11	biosensors	biosensor	NOUN
easat-10155	182	12	,	,	PUNCT
easat-10155	182	13	enzymatic	enzymatic	ADJ
easat-10155	182	14	biofuel	biofuel	NOUN
easat-10155	182	15	cells	cell	NOUN
easat-10155	182	16	,	,	PUNCT
easat-10155	182	17	and	and	CCONJ
easat-10155	182	18	electrochemical	electrochemical	ADJ
easat-10155	182	19	energy	energy	NOUN
easat-10155	182	20	devices	device	NOUN
easat-10155	182	21	,	,	PUNCT
easat-10155	182	22	where	where	SCONJ
easat-10155	182	23	accurate	accurate	ADJ
easat-10155	182	24	modeling	modeling	NOUN
easat-10155	182	25	of	of	ADP
easat-10155	182	26	coupled	couple	VERB
easat-10155	182	27	diffusion	diffusion	NOUN
easat-10155	182	28	–	–	PUNCT
easat-10155	182	29	reaction	reaction	NOUN
easat-10155	182	30	processes	process	NOUN
easat-10155	182	31	is	be	AUX
easat-10155	182	32	crucial	crucial	ADJ
easat-10155	182	33	for	for	ADP
easat-10155	182	34	performance	performance	NOUN
easat-10155	182	35	improvement	improvement	NOUN
easat-10155	182	36	.	.	PUNCT
easat-10155	183	1	transparency	transparency	NOUN
easat-10155	183	2	:	:	PUNCT
easat-10155	183	3	the	the	DET
easat-10155	183	4	authors	author	NOUN
easat-10155	183	5	confirm	confirm	VERB
easat-10155	183	6	that	that	SCONJ
easat-10155	183	7	the	the	DET
easat-10155	183	8	manuscript	manuscript	NOUN
easat-10155	183	9	is	be	AUX
easat-10155	183	10	an	an	DET
easat-10155	183	11	honest	honest	ADJ
easat-10155	183	12	,	,	PUNCT
easat-10155	183	13	accurate	accurate	ADJ
easat-10155	183	14	,	,	PUNCT
easat-10155	183	15	and	and	CCONJ
easat-10155	183	16	transparent	transparent	ADJ
easat-10155	183	17	account	account	NOUN
easat-10155	183	18	of	of	ADP
easat-10155	183	19	the	the	DET
easat-10155	183	20	study	study	NOUN
easat-10155	183	21	;	;	PUNCT
easat-10155	183	22	that	that	SCONJ
easat-10155	183	23	no	no	DET
easat-10155	183	24	vital	vital	ADJ
easat-10155	183	25	features	feature	NOUN
easat-10155	183	26	of	of	ADP
easat-10155	183	27	the	the	DET
easat-10155	183	28	study	study	NOUN
easat-10155	183	29	have	have	AUX
easat-10155	183	30	been	be	AUX
easat-10155	183	31	omitted	omit	VERB
easat-10155	183	32	;	;	PUNCT
easat-10155	183	33	and	and	CCONJ
easat-10155	183	34	that	that	SCONJ
easat-10155	183	35	any	any	DET
easat-10155	183	36	discrepancies	discrepancy	NOUN
easat-10155	183	37	from	from	ADP
easat-10155	183	38	the	the	DET
easat-10155	183	39	study	study	NOUN
easat-10155	183	40	as	as	SCONJ
easat-10155	183	41	planned	plan	VERB
easat-10155	183	42	have	have	AUX
easat-10155	183	43	been	be	AUX
easat-10155	183	44	explained	explain	VERB
easat-10155	183	45	.	.	PUNCT
easat-10155	184	1	this	this	DET
easat-10155	184	2	study	study	NOUN
easat-10155	184	3	followed	follow	VERB
easat-10155	184	4	all	all	DET
easat-10155	184	5	ethical	ethical	ADJ
easat-10155	184	6	practices	practice	NOUN
easat-10155	184	7	during	during	ADP
easat-10155	184	8	writing	writing	NOUN
easat-10155	184	9	.	.	PUNCT
easat-10155	185	1	copyright	copyright	NOUN
easat-10155	185	2	:	:	PUNCT
easat-10155	185	3	©	©	PROPN
easat-10155	185	4	2025	2025	NUM
easat-10155	185	5	by	by	ADP
easat-10155	185	6	the	the	DET
easat-10155	185	7	authors	author	NOUN
easat-10155	185	8	.	.	PUNCT
easat-10155	186	1	this	this	DET
easat-10155	186	2	open	open	ADJ
easat-10155	186	3	-	-	PUNCT
easat-10155	186	4	access	access	NOUN
easat-10155	186	5	article	article	NOUN
easat-10155	186	6	is	be	AUX
easat-10155	186	7	distributed	distribute	VERB
easat-10155	186	8	under	under	ADP
easat-10155	186	9	the	the	DET
easat-10155	186	10	terms	term	NOUN
easat-10155	186	11	and	and	CCONJ
easat-10155	186	12	conditions	condition	NOUN
easat-10155	186	13	of	of	ADP
easat-10155	186	14	the	the	DET
easat-10155	186	15	creative	creative	ADJ
easat-10155	186	16	commons	common	NOUN
easat-10155	186	17	attribution	attribution	NOUN
easat-10155	186	18	(	(	PUNCT
easat-10155	186	19	cc	cc	NOUN
easat-10155	186	20	by	by	ADP
easat-10155	186	21	)	)	PUNCT
easat-10155	186	22	license	license	NOUN
easat-10155	186	23	(	(	PUNCT
easat-10155	186	24	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-10155	186	25	)	)	PUNCT
easat-10155	186	26	.	.	PUNCT
easat-10155	187	1	references	reference	NOUN
easat-10155	187	2	[	[	X
easat-10155	187	3	1	1	NUM
easat-10155	187	4	]	]	PUNCT
easat-10155	187	5	a.	a.	NOUN
easat-10155	187	6	molina	molina	PROPN
easat-10155	187	7	and	and	CCONJ
easat-10155	187	8	e.	e.	PROPN
easat-10155	187	9	laborda	laborda	PROPN
easat-10155	187	10	,	,	PUNCT
easat-10155	187	11	"	"	PUNCT
easat-10155	187	12	detailed	detail	VERB
easat-10155	187	13	theoretical	theoretical	ADJ
easat-10155	187	14	treatment	treatment	NOUN
easat-10155	187	15	of	of	ADP
easat-10155	187	16	homogeneous	homogeneous	ADJ
easat-10155	187	17	chemical	chemical	NOUN
easat-10155	187	18	reactions	reaction	NOUN
easat-10155	187	19	coupled	couple	VERB
easat-10155	187	20	to	to	ADP
easat-10155	187	21	interfacial	interfacial	ADJ
easat-10155	187	22	charge	charge	NOUN
easat-10155	187	23	transfers	transfer	NOUN
easat-10155	187	24	,	,	PUNCT
easat-10155	187	25	"	"	PUNCT
easat-10155	187	26	electrochimica	electrochimica	PROPN
easat-10155	187	27	acta	acta	PROPN
easat-10155	187	28	,	,	PUNCT
easat-10155	187	29	vol	vol	NOUN
easat-10155	187	30	.	.	PROPN
easat-10155	188	1	286	286	NUM
easat-10155	188	2	,	,	PUNCT
easat-10155	188	3	pp	pp	ADJ
easat-10155	188	4	.	.	PUNCT
easat-10155	189	1	374	374	NUM
easat-10155	189	2	-	-	SYM
easat-10155	189	3	396	396	NUM
easat-10155	189	4	,	,	PUNCT
easat-10155	189	5	2018	2018	NUM
easat-10155	189	6	.	.	PUNCT
easat-10155	190	1	https://doi.org/10.1016/j.electacta.2018.07.142	https://doi.org/10.1016/j.electacta.2018.07.142	PRON
easat-10155	190	2	[	[	X
easat-10155	190	3	2	2	NUM
easat-10155	190	4	]	]	PUNCT
easat-10155	190	5	a.	a.	NOUN
easat-10155	190	6	eswari	eswari	NOUN
easat-10155	190	7	and	and	CCONJ
easat-10155	190	8	l.	l.	PROPN
easat-10155	190	9	rajendran	rajendran	PROPN
easat-10155	190	10	,	,	PUNCT
easat-10155	190	11	"	"	PUNCT
easat-10155	190	12	analytical	analytical	ADJ
easat-10155	190	13	expressions	expression	NOUN
easat-10155	190	14	of	of	ADP
easat-10155	190	15	concentration	concentration	NOUN
easat-10155	190	16	and	and	CCONJ
easat-10155	190	17	current	current	ADJ
easat-10155	190	18	in	in	ADP
easat-10155	190	19	homogeneous	homogeneous	ADJ
easat-10155	190	20	catalytic	catalytic	ADJ
easat-10155	190	21	reactions	reaction	NOUN
easat-10155	190	22	at	at	ADP
easat-10155	190	23	spherical	spherical	ADJ
easat-10155	190	24	microelectrodes	microelectrode	NOUN
easat-10155	190	25	:	:	PUNCT
easat-10155	190	26	homotopy	homotopy	VERB
easat-10155	190	27	perturbation	perturbation	NOUN
easat-10155	190	28	approach	approach	NOUN
easat-10155	190	29	,	,	PUNCT
easat-10155	190	30	"	"	PUNCT
easat-10155	190	31	journal	journal	NOUN
easat-10155	190	32	of	of	ADP
easat-10155	190	33	electroanalytical	electroanalytical	ADJ
easat-10155	190	34	chemistry	chemistry	NOUN
easat-10155	190	35	,	,	PUNCT
easat-10155	190	36	no	no	INTJ
easat-10155	190	37	.	.	NOUN
easat-10155	190	38	651	651	NUM
easat-10155	190	39	,	,	PUNCT
easat-10155	190	40	p.	p.	NOUN
easat-10155	190	41	173‑184	173‑184	NUM
easat-10155	190	42	,	,	PUNCT
easat-10155	190	43	2011	2011	NUM
easat-10155	190	44	.	.	PUNCT
easat-10155	191	1	[	[	X
easat-10155	191	2	3	3	NUM
easat-10155	191	3	]	]	SYM
easat-10155	191	4	á	á	PROPN
easat-10155	191	5	.	.	PUNCT
easat-10155	191	6	molina	molina	PROPN
easat-10155	191	7	,	,	PUNCT
easat-10155	191	8	i.	i.	PROPN
easat-10155	191	9	morales	morales	PROPN
easat-10155	191	10	,	,	PUNCT
easat-10155	191	11	and	and	CCONJ
easat-10155	191	12	m.	m.	NOUN
easat-10155	191	13	lópez	lópez	NOUN
easat-10155	191	14	-	-	PUNCT
easat-10155	191	15	tenés	tenés	NOUN
easat-10155	191	16	,	,	PUNCT
easat-10155	191	17	"	"	PUNCT
easat-10155	191	18	chronoamperometric	chronoamperometric	ADJ
easat-10155	191	19	behaviour	behaviour	NOUN
easat-10155	191	20	of	of	ADP
easat-10155	191	21	a	a	DET
easat-10155	191	22	ce	ce	NOUN
easat-10155	191	23	process	process	NOUN
easat-10155	191	24	with	with	ADP
easat-10155	191	25	fast	fast	ADJ
easat-10155	191	26	chemical	chemical	ADJ
easat-10155	191	27	reactions	reaction	NOUN
easat-10155	191	28	at	at	ADP
easat-10155	191	29	spherical	spherical	ADJ
easat-10155	191	30	electrodes	electrode	NOUN
easat-10155	191	31	and	and	CCONJ
easat-10155	191	32	microelectrodes	microelectrode	NOUN
easat-10155	191	33	.	.	PUNCT
easat-10155	192	1	comparison	comparison	NOUN
easat-10155	192	2	with	with	ADP
easat-10155	192	3	a	a	DET
easat-10155	192	4	catalytic	catalytic	ADJ
easat-10155	192	5	reaction	reaction	NOUN
easat-10155	192	6	,	,	PUNCT
easat-10155	192	7	"	"	PUNCT
easat-10155	192	8	electrochemistry	electrochemistry	NOUN
easat-10155	192	9	communications	communication	NOUN
easat-10155	192	10	,	,	PUNCT
easat-10155	192	11	vol	vol	NOUN
easat-10155	192	12	.	.	PROPN
easat-10155	192	13	8	8	NUM
easat-10155	192	14	,	,	PUNCT
easat-10155	192	15	no	no	INTJ
easat-10155	192	16	.	.	NOUN
easat-10155	192	17	6	6	NUM
easat-10155	192	18	,	,	PUNCT
easat-10155	192	19	pp	pp	ADJ
easat-10155	192	20	.	.	PUNCT
easat-10155	193	1	1062	1062	NUM
easat-10155	193	2	-	-	SYM
easat-10155	193	3	1070	1070	NUM
easat-10155	193	4	,	,	PUNCT
easat-10155	193	5	2006	2006	NUM
easat-10155	193	6	.	.	PUNCT
easat-10155	194	1	[	[	X
easat-10155	194	2	4	4	X
easat-10155	194	3	]	]	PUNCT
easat-10155	194	4	j.	j.	PROPN
easat-10155	194	5	r.	r.	PROPN
easat-10155	194	6	delmastro	delmastro	PROPN
easat-10155	194	7	,	,	PUNCT
easat-10155	194	8	"	"	PUNCT
easat-10155	194	9	theory	theory	NOUN
easat-10155	194	10	of	of	ADP
easat-10155	194	11	polarographic	polarographic	ADJ
easat-10155	194	12	kinetic	kinetic	ADJ
easat-10155	194	13	currents	current	NOUN
easat-10155	194	14	for	for	ADP
easat-10155	194	15	second	second	ADJ
easat-10155	194	16	-	-	PUNCT
easat-10155	194	17	order	order	NOUN
easat-10155	194	18	regeneration	regeneration	NOUN
easat-10155	194	19	reactions	reaction	NOUN
easat-10155	194	20	at	at	ADP
easat-10155	194	21	spherical	spherical	ADJ
easat-10155	194	22	electrodes	electrode	NOUN
easat-10155	194	23	.	.	PUNCT
easat-10155	194	24	ii	ii	X
easat-10155	194	25	.	.	PUNCT
easat-10155	194	26	numerical	numerical	ADJ
easat-10155	194	27	solution	solution	NOUN
easat-10155	194	28	of	of	ADP
easat-10155	194	29	the	the	DET
easat-10155	194	30	integral	integral	ADJ
easat-10155	194	31	equations	equation	NOUN
easat-10155	194	32	for	for	ADP
easat-10155	194	33	steady	steady	ADJ
easat-10155	194	34	-	-	PUNCT
easat-10155	194	35	state	state	NOUN
easat-10155	194	36	behavior	behavior	NOUN
easat-10155	194	37	,	,	PUNCT
easat-10155	194	38	"	"	PUNCT
easat-10155	194	39	analytical	analytical	ADJ
easat-10155	194	40	chemistry	chemistry	NOUN
easat-10155	194	41	,	,	PUNCT
easat-10155	194	42	vol	vol	NOUN
easat-10155	194	43	.	.	PROPN
easat-10155	194	44	41	41	NUM
easat-10155	194	45	,	,	PUNCT
easat-10155	194	46	no	no	INTJ
easat-10155	194	47	.	.	NOUN
easat-10155	194	48	6	6	NUM
easat-10155	194	49	,	,	PUNCT
easat-10155	194	50	pp	pp	ADJ
easat-10155	194	51	.	.	PUNCT
easat-10155	195	1	747	747	NUM
easat-10155	195	2	-	-	SYM
easat-10155	195	3	753	753	NUM
easat-10155	195	4	,	,	PUNCT
easat-10155	195	5	1969	1969	NUM
easat-10155	195	6	.	.	PUNCT
easat-10155	196	1	[	[	X
easat-10155	196	2	5	5	X
easat-10155	196	3	]	]	PUNCT
easat-10155	196	4	j.	j.	PROPN
easat-10155	196	5	galceran	galceran	PROPN
easat-10155	196	6	,	,	PUNCT
easat-10155	196	7	j.	j.	PROPN
easat-10155	196	8	puy	puy	PROPN
easat-10155	196	9	,	,	PUNCT
easat-10155	196	10	j.	j.	PROPN
easat-10155	196	11	salvador	salvador	PROPN
easat-10155	196	12	,	,	PUNCT
easat-10155	196	13	j.	j.	PROPN
easat-10155	196	14	cecı	cecı	PROPN
easat-10155	196	15	́lia	́lia	PROPN
easat-10155	196	16	,	,	PUNCT
easat-10155	196	17	and	and	CCONJ
easat-10155	196	18	h.	h.	PROPN
easat-10155	196	19	p.	p.	PROPN
easat-10155	196	20	van	van	PROPN
easat-10155	196	21	leeuwen	leeuwen	PROPN
easat-10155	196	22	,	,	PUNCT
easat-10155	196	23	"	"	PUNCT
easat-10155	196	24	voltammetric	voltammetric	ADJ
easat-10155	196	25	lability	lability	NOUN
easat-10155	196	26	of	of	ADP
easat-10155	196	27	metal	metal	NOUN
easat-10155	196	28	complexes	complex	NOUN
easat-10155	196	29	at	at	ADP
easat-10155	196	30	spherical	spherical	ADJ
easat-10155	196	31	microelectrodes	microelectrode	NOUN
easat-10155	196	32	with	with	ADP
easat-10155	196	33	various	various	ADJ
easat-10155	196	34	radii	radii	NOUN
easat-10155	196	35	,	,	PUNCT
easat-10155	196	36	"	"	PUNCT
easat-10155	196	37	journal	journal	NOUN
easat-10155	196	38	of	of	ADP
easat-10155	196	39	electroanalytical	electroanalytical	ADJ
easat-10155	196	40	chemistry	chemistry	NOUN
easat-10155	196	41	,	,	PUNCT
easat-10155	196	42	vol	vol	NOUN
easat-10155	196	43	.	.	PROPN
easat-10155	197	1	505	505	NUM
easat-10155	197	2	,	,	PUNCT
easat-10155	197	3	no	no	INTJ
easat-10155	197	4	.	.	NOUN
easat-10155	197	5	1	1	NUM
easat-10155	197	6	-	-	SYM
easat-10155	197	7	2	2	NUM
easat-10155	197	8	,	,	PUNCT
easat-10155	197	9	pp	pp	ADJ
easat-10155	197	10	.	.	PUNCT
easat-10155	197	11	85	85	NUM
easat-10155	197	12	-	-	SYM
easat-10155	197	13	94	94	NUM
easat-10155	197	14	,	,	PUNCT
easat-10155	197	15	2001	2001	NUM
easat-10155	197	16	.	.	PUNCT
easat-10155	198	1	[	[	X
easat-10155	198	2	6	6	NUM
easat-10155	198	3	]	]	PUNCT
easat-10155	198	4	l.	l.	PROPN
easat-10155	198	5	bieniasz	bieniasz	PROPN
easat-10155	198	6	and	and	CCONJ
easat-10155	198	7	d.	d.	PROPN
easat-10155	198	8	britz	britz	PROPN
easat-10155	198	9	,	,	PUNCT
easat-10155	198	10	"	"	PUNCT
easat-10155	198	11	recent	recent	ADJ
easat-10155	198	12	developments	development	NOUN
easat-10155	198	13	in	in	ADP
easat-10155	198	14	digital	digital	ADJ
easat-10155	198	15	simulation	simulation	NOUN
easat-10155	198	16	of	of	ADP
easat-10155	198	17	electroanalytical	electroanalytical	ADJ
easat-10155	198	18	experiments	experiment	NOUN
easat-10155	198	19	,	,	PUNCT
easat-10155	198	20	"	"	PUNCT
easat-10155	198	21	polish	polish	ADJ
easat-10155	198	22	journal	journal	NOUN
easat-10155	198	23	of	of	ADP
easat-10155	198	24	chemistry	chemistry	NOUN
easat-10155	198	25	,	,	PUNCT
easat-10155	198	26	vol	vol	NOUN
easat-10155	198	27	.	.	PROPN
easat-10155	198	28	78	78	NUM
easat-10155	198	29	,	,	PUNCT
easat-10155	198	30	no	no	INTJ
easat-10155	198	31	.	.	NOUN
easat-10155	198	32	9	9	NUM
easat-10155	198	33	,	,	PUNCT
easat-10155	198	34	pp	pp	ADJ
easat-10155	198	35	.	.	PUNCT
easat-10155	199	1	1195	1195	NUM
easat-10155	199	2	-	-	SYM
easat-10155	199	3	1219	1219	NUM
easat-10155	199	4	,	,	PUNCT
easat-10155	199	5	2004	2004	NUM
easat-10155	199	6	.	.	PUNCT
easat-10155	200	1	[	[	X
easat-10155	200	2	7	7	X
easat-10155	200	3	]	]	X
easat-10155	200	4	d.	d.	PROPN
easat-10155	200	5	britz	britz	PROPN
easat-10155	200	6	,	,	PUNCT
easat-10155	200	7	digital	digital	PROPN
easat-10155	200	8	simulation	simulation	NOUN
easat-10155	200	9	in	in	ADP
easat-10155	200	10	electrochemistry	electrochemistry	NOUN
easat-10155	200	11	.	.	PUNCT
easat-10155	201	1	berlin	berlin	PROPN
easat-10155	201	2	,	,	PUNCT
easat-10155	201	3	germany	germany	PROPN
easat-10155	201	4	:	:	PUNCT
easat-10155	201	5	springer	springer	NOUN
easat-10155	201	6	,	,	PUNCT
easat-10155	201	7	2005	2005	NUM
easat-10155	201	8	.	.	PUNCT
easat-10155	202	1	[	[	X
easat-10155	202	2	8	8	NUM
easat-10155	202	3	]	]	SYM
easat-10155	202	4	á	á	PROPN
easat-10155	202	5	.	.	PUNCT
easat-10155	202	6	molina	molina	PROPN
easat-10155	202	7	and	and	CCONJ
easat-10155	202	8	i.	i.	PROPN
easat-10155	202	9	morales	morales	PROPN
easat-10155	202	10	,	,	PUNCT
easat-10155	202	11	"	"	PUNCT
easat-10155	202	12	singularities	singularity	NOUN
easat-10155	202	13	of	of	ADP
easat-10155	202	14	the	the	DET
easat-10155	202	15	catalytic	catalytic	ADJ
easat-10155	202	16	mechanism	mechanism	NOUN
easat-10155	202	17	in	in	ADP
easat-10155	202	18	its	its	PRON
easat-10155	202	19	route	route	NOUN
easat-10155	202	20	to	to	ADP
easat-10155	202	21	the	the	DET
easat-10155	202	22	steady	steady	ADJ
easat-10155	202	23	state	state	NOUN
easat-10155	202	24	,	,	PUNCT
easat-10155	202	25	"	"	PUNCT
easat-10155	202	26	journal	journal	NOUN
easat-10155	202	27	of	of	ADP
easat-10155	202	28	electroanalytical	electroanalytical	ADJ
easat-10155	202	29	chemistry	chemistry	NOUN
easat-10155	202	30	,	,	PUNCT
easat-10155	202	31	vol	vol	NOUN
easat-10155	202	32	.	.	PROPN
easat-10155	203	1	583	583	NUM
easat-10155	203	2	,	,	PUNCT
easat-10155	203	3	no	no	INTJ
easat-10155	203	4	.	.	NOUN
easat-10155	203	5	2	2	NUM
easat-10155	203	6	,	,	PUNCT
easat-10155	203	7	pp	pp	ADJ
easat-10155	203	8	.	.	PUNCT
easat-10155	204	1	193	193	NUM
easat-10155	204	2	-	-	SYM
easat-10155	204	3	202	202	NUM
easat-10155	204	4	,	,	PUNCT
easat-10155	204	5	2005	2005	NUM
easat-10155	204	6	.	.	PUNCT
easat-10155	205	1	[	[	X
easat-10155	205	2	9	9	NUM
easat-10155	205	3	]	]	PUNCT
easat-10155	205	4	j.	j.	PROPN
easat-10155	205	5	galceran	galceran	PROPN
easat-10155	205	6	,	,	PUNCT
easat-10155	205	7	s.	s.	PROPN
easat-10155	205	8	taylor	taylor	PROPN
easat-10155	205	9	,	,	PUNCT
easat-10155	205	10	and	and	CCONJ
easat-10155	205	11	p.	p.	PROPN
easat-10155	205	12	bartlett	bartlett	PROPN
easat-10155	205	13	,	,	PUNCT
easat-10155	205	14	"	"	PUNCT
easat-10155	205	15	modelling	model	VERB
easat-10155	205	16	the	the	DET
easat-10155	205	17	steady	steady	ADJ
easat-10155	205	18	-	-	PUNCT
easat-10155	205	19	state	state	NOUN
easat-10155	205	20	current	current	NOUN
easat-10155	205	21	at	at	ADP
easat-10155	205	22	the	the	DET
easat-10155	205	23	inlaid	inlaid	NOUN
easat-10155	205	24	disc	disc	NOUN
easat-10155	205	25	microelectrode	microelectrode	NOUN
easat-10155	205	26	for	for	ADP
easat-10155	205	27	homogeneous	homogeneous	ADJ
easat-10155	205	28	mediated	mediate	VERB
easat-10155	205	29	enzyme	enzyme	NOUN
easat-10155	205	30	catalysed	catalyse	VERB
easat-10155	205	31	reactions	reaction	NOUN
easat-10155	205	32	,	,	PUNCT
easat-10155	205	33	"	"	PUNCT
easat-10155	205	34	journal	journal	NOUN
easat-10155	205	35	of	of	ADP
easat-10155	205	36	electroanalytical	electroanalytical	ADJ
easat-10155	205	37	chemistry	chemistry	NOUN
easat-10155	205	38	,	,	PUNCT
easat-10155	205	39	vol	vol	NOUN
easat-10155	205	40	.	.	PROPN
easat-10155	205	41	506	506	NUM
easat-10155	205	42	,	,	PUNCT
easat-10155	205	43	no	no	INTJ
easat-10155	205	44	.	.	NOUN
easat-10155	205	45	2	2	NUM
easat-10155	205	46	,	,	PUNCT
easat-10155	205	47	pp	pp	ADJ
easat-10155	205	48	.	.	PUNCT
easat-10155	206	1	65	65	NUM
easat-10155	206	2	-	-	SYM
easat-10155	206	3	81	81	NUM
easat-10155	206	4	,	,	PUNCT
easat-10155	206	5	2001	2001	NUM
easat-10155	206	6	.	.	PUNCT
easat-10155	207	1	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-10155	207	2	https://doi.org/10.1016/j.electacta.2018.07.142	https://doi.org/10.1016/j.electacta.2018.07.142	PROPN
easat-10155	207	3	1481	1481	NUM
easat-10155	207	4	edelweiss	edelweiss	PROPN
easat-10155	207	5	applied	apply	VERB
easat-10155	207	6	science	science	NOUN
easat-10155	207	7	and	and	CCONJ
easat-10155	207	8	technology	technology	NOUN
easat-10155	207	9	issn	issn	PROPN
easat-10155	207	10	:	:	PUNCT
easat-10155	207	11	2576	2576	NUM
easat-10155	207	12	-	-	SYM
easat-10155	207	13	8484	8484	NUM
easat-10155	207	14	vol	vol	NOUN
easat-10155	207	15	.	.	PROPN
easat-10155	208	1	9	9	NUM
easat-10155	208	2	,	,	PUNCT
easat-10155	208	3	no	no	INTJ
easat-10155	208	4	.	.	NOUN
easat-10155	208	5	9	9	NUM
easat-10155	208	6	:	:	SYM
easat-10155	208	7	1471	1471	NUM
easat-10155	208	8	-	-	SYM
easat-10155	208	9	1483	1483	NUM
easat-10155	208	10	,	,	PUNCT
easat-10155	208	11	2025	2025	NUM
easat-10155	208	12	doi	doi	NOUN
easat-10155	208	13	:	:	PUNCT
easat-10155	208	14	10.55214/2576	10.55214/2576	NUM
easat-10155	208	15	-	-	SYM
easat-10155	208	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	208	17	©	©	ADP
easat-10155	208	18	2025	2025	NUM
easat-10155	208	19	by	by	ADP
easat-10155	208	20	the	the	DET
easat-10155	208	21	authors	author	NOUN
easat-10155	208	22	;	;	PUNCT
easat-10155	208	23	licensee	licensee	PROPN
easat-10155	208	24	learning	learning	NOUN
easat-10155	208	25	gate	gate	NOUN
easat-10155	209	1	[	[	X
easat-10155	209	2	10	10	NUM
easat-10155	209	3	]	]	X
easat-10155	209	4	l.	l.	PROPN
easat-10155	209	5	rajendran	rajendran	PROPN
easat-10155	209	6	,	,	PUNCT
easat-10155	209	7	"	"	PUNCT
easat-10155	209	8	analytical	analytical	ADJ
easat-10155	209	9	solution	solution	NOUN
easat-10155	209	10	for	for	ADP
easat-10155	209	11	the	the	DET
easat-10155	209	12	steady	steady	ADJ
easat-10155	209	13	-	-	PUNCT
easat-10155	209	14	state	state	NOUN
easat-10155	209	15	chronoamperometric	chronoamperometric	ADJ
easat-10155	209	16	current	current	NOUN
easat-10155	209	17	for	for	ADP
easat-10155	209	18	an	an	DET
easat-10155	209	19	ec′	ec′	ADJ
easat-10155	209	20	reaction	reaction	NOUN
easat-10155	209	21	at	at	ADP
easat-10155	209	22	spheroidal	spheroidal	NOUN
easat-10155	209	23	ultramicroelectrodes	ultramicroelectrode	NOUN
easat-10155	209	24	,	,	PUNCT
easat-10155	209	25	"	"	PUNCT
easat-10155	209	26	journal	journal	NOUN
easat-10155	209	27	of	of	ADP
easat-10155	209	28	theoretical	theoretical	ADJ
easat-10155	209	29	and	and	CCONJ
easat-10155	209	30	computational	computational	ADJ
easat-10155	209	31	chemistry	chemistry	NOUN
easat-10155	209	32	,	,	PUNCT
easat-10155	209	33	vol	vol	NOUN
easat-10155	209	34	.	.	PROPN
easat-10155	209	35	5	5	NUM
easat-10155	209	36	,	,	PUNCT
easat-10155	209	37	no	no	INTJ
easat-10155	209	38	.	.	NOUN
easat-10155	209	39	01	01	NUM
easat-10155	209	40	,	,	PUNCT
easat-10155	209	41	pp	pp	ADJ
easat-10155	209	42	.	.	PUNCT
easat-10155	210	1	11	11	NUM
easat-10155	210	2	-	-	SYM
easat-10155	210	3	24	24	NUM
easat-10155	210	4	,	,	PUNCT
easat-10155	210	5	2006	2006	NUM
easat-10155	210	6	.	.	PUNCT
easat-10155	211	1	[	[	X
easat-10155	211	2	11	11	NUM
easat-10155	211	3	]	]	PUNCT
easat-10155	211	4	m.	m.	NOUN
easat-10155	211	5	izadi	izadi	NOUN
easat-10155	211	6	,	,	PUNCT
easat-10155	211	7	s.	s.	PROPN
easat-10155	211	8	k.	k.	PROPN
easat-10155	211	9	yadav	yadav	PROPN
easat-10155	211	10	,	,	PUNCT
easat-10155	211	11	and	and	CCONJ
easat-10155	211	12	g.	g.	PROPN
easat-10155	211	13	methi	methi	NOUN
easat-10155	211	14	,	,	PUNCT
easat-10155	211	15	"	"	PUNCT
easat-10155	211	16	two	two	NUM
easat-10155	211	17	efficient	efficient	ADJ
easat-10155	211	18	numerical	numerical	ADJ
easat-10155	211	19	techniques	technique	NOUN
easat-10155	211	20	for	for	ADP
easat-10155	211	21	solutions	solution	NOUN
easat-10155	211	22	of	of	ADP
easat-10155	211	23	fractional	fractional	ADJ
easat-10155	211	24	shallow	shallow	ADJ
easat-10155	211	25	water	water	NOUN
easat-10155	211	26	equation	equation	NOUN
easat-10155	211	27	,	,	PUNCT
easat-10155	211	28	"	"	PUNCT
easat-10155	211	29	partial	partial	ADJ
easat-10155	211	30	differential	differential	NOUN
easat-10155	211	31	equations	equation	NOUN
easat-10155	211	32	in	in	ADP
easat-10155	211	33	applied	applied	ADJ
easat-10155	211	34	mathematics	mathematic	NOUN
easat-10155	211	35	,	,	PUNCT
easat-10155	211	36	vol	vol	NOUN
easat-10155	211	37	.	.	NOUN
easat-10155	211	38	9	9	NUM
easat-10155	211	39	,	,	PUNCT
easat-10155	211	40	p.	p.	NOUN
easat-10155	211	41	100619	100619	NUM
easat-10155	211	42	,	,	PUNCT
easat-10155	211	43	2024	2024	NUM
easat-10155	211	44	.	.	PUNCT
easat-10155	212	1	[	[	X
easat-10155	212	2	12	12	NUM
easat-10155	212	3	]	]	PUNCT
easat-10155	212	4	m.	m.	NOUN
easat-10155	212	5	izadi	izadi	NOUN
easat-10155	212	6	,	,	PUNCT
easat-10155	212	7	"	"	PUNCT
easat-10155	212	8	numerical	numerical	ADJ
easat-10155	212	9	approximation	approximation	NOUN
easat-10155	212	10	of	of	ADP
easat-10155	212	11	hunter	hunter	NOUN
easat-10155	212	12	-	-	PUNCT
easat-10155	212	13	saxton	saxton	NOUN
easat-10155	212	14	equation	equation	NOUN
easat-10155	212	15	by	by	ADP
easat-10155	212	16	an	an	DET
easat-10155	212	17	efficient	efficient	ADJ
easat-10155	212	18	accurate	accurate	ADJ
easat-10155	212	19	approach	approach	NOUN
easat-10155	212	20	on	on	ADP
easat-10155	212	21	long	long	ADJ
easat-10155	212	22	time	time	NOUN
easat-10155	212	23	domains	domain	NOUN
easat-10155	212	24	,	,	PUNCT
easat-10155	212	25	"	"	PUNCT
easat-10155	212	26	upb	upb	PROPN
easat-10155	212	27	sci	sci	PROPN
easat-10155	212	28	.	.	PUNCT
easat-10155	212	29	bull	bull	PROPN
easat-10155	212	30	.	.	PUNCT
easat-10155	213	1	ser	ser	PROPN
easat-10155	213	2	.	.	PUNCT
easat-10155	214	1	a	a	DET
easat-10155	214	2	,	,	PUNCT
easat-10155	214	3	vol	vol	NOUN
easat-10155	214	4	.	.	PROPN
easat-10155	214	5	83	83	NUM
easat-10155	214	6	,	,	PUNCT
easat-10155	214	7	no	no	INTJ
easat-10155	214	8	.	.	NOUN
easat-10155	214	9	1	1	NUM
easat-10155	214	10	,	,	PUNCT
easat-10155	214	11	pp	pp	ADJ
easat-10155	214	12	.	.	PUNCT
easat-10155	215	1	291	291	NUM
easat-10155	215	2	-	-	SYM
easat-10155	215	3	300	300	NUM
easat-10155	215	4	,	,	PUNCT
easat-10155	215	5	2021	2021	NUM
easat-10155	215	6	.	.	PUNCT
easat-10155	216	1	[	[	X
easat-10155	216	2	13	13	NUM
easat-10155	216	3	]	]	PUNCT
easat-10155	216	4	m.	m.	NOUN
easat-10155	216	5	izadi	izadi	NOUN
easat-10155	216	6	,	,	PUNCT
easat-10155	216	7	h.	h.	PROPN
easat-10155	216	8	m.	m.	PROPN
easat-10155	216	9	srivastava	srivastava	PROPN
easat-10155	216	10	,	,	PUNCT
easat-10155	216	11	and	and	CCONJ
easat-10155	216	12	w.	w.	PROPN
easat-10155	216	13	adel	adel	PROPN
easat-10155	216	14	,	,	PUNCT
easat-10155	216	15	"	"	PUNCT
easat-10155	216	16	the	the	DET
easat-10155	216	17	nonlinear	nonlinear	ADJ
easat-10155	216	18	reactive	reactive	ADJ
easat-10155	216	19	transport	transport	PROPN
easat-10155	216	20	model	model	NOUN
easat-10155	216	21	:	:	PUNCT
easat-10155	216	22	an	an	DET
easat-10155	216	23	efficient	efficient	ADJ
easat-10155	216	24	approximation	approximation	NOUN
easat-10155	216	25	method	method	NOUN
easat-10155	216	26	based	base	VERB
easat-10155	216	27	on	on	ADP
easat-10155	216	28	quasilinearization	quasilinearization	NOUN
easat-10155	216	29	and	and	CCONJ
easat-10155	216	30	bessel	bessel	ADJ
easat-10155	216	31	matrix	matrix	NOUN
easat-10155	216	32	method	method	NOUN
easat-10155	216	33	,	,	PUNCT
easat-10155	216	34	"	"	PUNCT
easat-10155	216	35	applied	apply	VERB
easat-10155	216	36	and	and	CCONJ
easat-10155	216	37	computational	computational	ADJ
easat-10155	216	38	mathematics	mathematic	NOUN
easat-10155	216	39	,	,	PUNCT
easat-10155	216	40	vol	vol	NOUN
easat-10155	216	41	.	.	PROPN
easat-10155	216	42	23	23	NUM
easat-10155	216	43	,	,	PUNCT
easat-10155	216	44	no	no	INTJ
easat-10155	216	45	.	.	NOUN
easat-10155	216	46	2	2	NUM
easat-10155	216	47	,	,	PUNCT
easat-10155	216	48	pp	pp	ADJ
easat-10155	216	49	.	.	PUNCT
easat-10155	217	1	135	135	NUM
easat-10155	217	2	-	-	SYM
easat-10155	217	3	158	158	NUM
easat-10155	217	4	,	,	PUNCT
easat-10155	217	5	2024	2024	NUM
easat-10155	217	6	.	.	PUNCT
easat-10155	218	1	[	[	X
easat-10155	218	2	14	14	NUM
easat-10155	218	3	]	]	X
easat-10155	218	4	j.-h	j.-h	NOUN
easat-10155	218	5	.	.	PUNCT
easat-10155	219	1	he	he	PRON
easat-10155	219	2	,	,	PUNCT
easat-10155	219	3	"	"	PUNCT
easat-10155	219	4	variational	variational	ADJ
easat-10155	219	5	iteration	iteration	NOUN
easat-10155	219	6	method	method	NOUN
easat-10155	219	7	–	–	PUNCT
easat-10155	219	8	a	a	DET
easat-10155	219	9	kind	kind	NOUN
easat-10155	219	10	of	of	ADP
easat-10155	219	11	non	non	ADJ
easat-10155	219	12	-	-	ADJ
easat-10155	219	13	linear	linear	ADJ
easat-10155	219	14	analytical	analytical	ADJ
easat-10155	219	15	technique	technique	NOUN
easat-10155	219	16	:	:	PUNCT
easat-10155	219	17	some	some	DET
easat-10155	219	18	examples	example	NOUN
easat-10155	219	19	,	,	PUNCT
easat-10155	219	20	"	"	PUNCT
easat-10155	219	21	international	international	ADJ
easat-10155	219	22	journal	journal	NOUN
easat-10155	219	23	of	of	ADP
easat-10155	219	24	non	non	ADJ
easat-10155	219	25	-	-	ADJ
easat-10155	219	26	linear	linear	ADJ
easat-10155	219	27	mechanics	mechanic	NOUN
easat-10155	219	28	,	,	PUNCT
easat-10155	219	29	vol	vol	NOUN
easat-10155	219	30	.	.	PROPN
easat-10155	219	31	34	34	NUM
easat-10155	219	32	,	,	PUNCT
easat-10155	219	33	no	no	INTJ
easat-10155	219	34	.	.	NOUN
easat-10155	219	35	4	4	NUM
easat-10155	219	36	,	,	PUNCT
easat-10155	219	37	pp	pp	ADJ
easat-10155	219	38	.	.	PUNCT
easat-10155	220	1	699	699	NUM
easat-10155	220	2	-	-	SYM
easat-10155	220	3	708	708	NUM
easat-10155	220	4	,	,	PUNCT
easat-10155	220	5	1999	1999	NUM
easat-10155	220	6	.	.	PUNCT
easat-10155	221	1	[	[	X
easat-10155	221	2	15	15	NUM
easat-10155	221	3	]	]	X
easat-10155	221	4	k.	k.	PROPN
easat-10155	221	5	nirmala	nirmala	PROPN
easat-10155	221	6	,	,	PUNCT
easat-10155	221	7	b.	b.	PROPN
easat-10155	221	8	manimegalai	manimegalai	PROPN
easat-10155	221	9	,	,	PUNCT
easat-10155	221	10	and	and	CCONJ
easat-10155	221	11	l.	l.	PROPN
easat-10155	221	12	rajendran	rajendran	PROPN
easat-10155	221	13	,	,	PUNCT
easat-10155	221	14	"	"	PUNCT
easat-10155	221	15	steady	steady	ADJ
easat-10155	221	16	-	-	PUNCT
easat-10155	221	17	state	state	NOUN
easat-10155	221	18	substrate	substrate	NOUN
easat-10155	221	19	and	and	CCONJ
easat-10155	221	20	product	product	NOUN
easat-10155	221	21	concentrations	concentration	NOUN
easat-10155	221	22	for	for	ADP
easat-10155	221	23	non	non	ADJ
easat-10155	221	24	-	-	ADJ
easat-10155	221	25	michaelismenten	michaelismenten	ADJ
easat-10155	221	26	kinetics	kinetic	NOUN
easat-10155	221	27	in	in	ADP
easat-10155	221	28	an	an	DET
easat-10155	221	29	amperometric	amperometric	NOUN
easat-10155	221	30	biosensor	biosensor	NOUN
easat-10155	221	31	–	–	PUNCT
easat-10155	221	32	hyperbolic	hyperbolic	ADJ
easat-10155	221	33	function	function	NOUN
easat-10155	221	34	and	and	CCONJ
easat-10155	221	35	padéapproximants	padéapproximant	NOUN
easat-10155	221	36	method	method	NOUN
easat-10155	221	37	,	,	PUNCT
easat-10155	221	38	"	"	PUNCT
easat-10155	221	39	international	international	ADJ
easat-10155	221	40	journal	journal	NOUN
easat-10155	221	41	of	of	ADP
easat-10155	221	42	electrochemical	electrochemical	ADJ
easat-10155	221	43	science	science	NOUN
easat-10155	221	44	,	,	PUNCT
easat-10155	221	45	vol	vol	NOUN
easat-10155	221	46	.	.	PROPN
easat-10155	221	47	15	15	NUM
easat-10155	221	48	,	,	PUNCT
easat-10155	221	49	no	no	INTJ
easat-10155	221	50	.	.	NOUN
easat-10155	221	51	6	6	NUM
easat-10155	221	52	,	,	PUNCT
easat-10155	221	53	pp	pp	ADJ
easat-10155	221	54	.	.	PUNCT
easat-10155	222	1	5682	5682	NUM
easat-10155	222	2	-	-	SYM
easat-10155	222	3	5697	5697	NUM
easat-10155	222	4	,	,	PUNCT
easat-10155	222	5	2020	2020	NUM
easat-10155	222	6	.	.	PUNCT
easat-10155	223	1	[	[	X
easat-10155	223	2	16	16	NUM
easat-10155	223	3	]	]	PUNCT
easat-10155	223	4	m.	m.	PROPN
easat-10155	223	5	e.	e.	PROPN
easat-10155	223	6	lyons	lyons	PROPN
easat-10155	223	7	,	,	PUNCT
easat-10155	223	8	"	"	PUNCT
easat-10155	223	9	transport	transport	NOUN
easat-10155	223	10	and	and	CCONJ
easat-10155	223	11	kinetics	kinetic	NOUN
easat-10155	223	12	in	in	ADP
easat-10155	223	13	electrocatalytic	electrocatalytic	ADJ
easat-10155	223	14	thin	thin	ADJ
easat-10155	223	15	film	film	NOUN
easat-10155	223	16	biosensors	biosensor	NOUN
easat-10155	223	17	:	:	PUNCT
easat-10155	223	18	bounded	bounded	ADJ
easat-10155	223	19	diffusion	diffusion	NOUN
easat-10155	223	20	with	with	ADP
easat-10155	223	21	non	non	ADJ
easat-10155	223	22	-	-	ADJ
easat-10155	223	23	michaelismenten	michaelismenten	ADJ
easat-10155	223	24	reaction	reaction	NOUN
easat-10155	223	25	kinetics	kinetic	NOUN
easat-10155	223	26	,	,	PUNCT
easat-10155	223	27	"	"	PUNCT
easat-10155	223	28	journal	journal	NOUN
easat-10155	223	29	of	of	ADP
easat-10155	223	30	solid	solid	ADJ
easat-10155	223	31	state	state	NOUN
easat-10155	223	32	electrochemistry	electrochemistry	NOUN
easat-10155	223	33	,	,	PUNCT
easat-10155	223	34	vol	vol	NOUN
easat-10155	223	35	.	.	PROPN
easat-10155	223	36	24	24	NUM
easat-10155	223	37	,	,	PUNCT
easat-10155	223	38	no	no	INTJ
easat-10155	223	39	.	.	NOUN
easat-10155	223	40	11	11	NUM
easat-10155	223	41	,	,	PUNCT
easat-10155	223	42	pp	pp	ADJ
easat-10155	223	43	.	.	PUNCT
easat-10155	223	44	2751	2751	NUM
easat-10155	223	45	-	-	SYM
easat-10155	223	46	2761	2761	NUM
easat-10155	223	47	,	,	PUNCT
easat-10155	223	48	2020	2020	NUM
easat-10155	223	49	.	.	PUNCT
easat-10155	224	1	[	[	X
easat-10155	224	2	17	17	NUM
easat-10155	224	3	]	]	X
easat-10155	224	4	y.	y.	PROPN
easat-10155	224	5	khan	khan	PROPN
easat-10155	224	6	,	,	PUNCT
easat-10155	224	7	h.	h.	PROPN
easat-10155	224	8	vazquez	vazquez	PROPN
easat-10155	224	9	-	-	PUNCT
easat-10155	224	10	leal	leal	ADJ
easat-10155	224	11	,	,	PUNCT
easat-10155	224	12	and	and	CCONJ
easat-10155	224	13	n.	n.	PROPN
easat-10155	224	14	faraz	faraz	PROPN
easat-10155	224	15	,	,	PUNCT
easat-10155	224	16	"	"	PUNCT
easat-10155	224	17	an	an	DET
easat-10155	224	18	auxiliary	auxiliary	ADJ
easat-10155	224	19	parameter	parameter	NOUN
easat-10155	224	20	method	method	NOUN
easat-10155	224	21	using	use	VERB
easat-10155	224	22	adomian	adomian	NOUN
easat-10155	224	23	polynomials	polynomial	NOUN
easat-10155	224	24	and	and	CCONJ
easat-10155	224	25	laplace	laplace	NOUN
easat-10155	224	26	transformation	transformation	NOUN
easat-10155	224	27	for	for	ADP
easat-10155	224	28	nonlinear	nonlinear	ADJ
easat-10155	224	29	differential	differential	ADJ
easat-10155	224	30	equations	equation	NOUN
easat-10155	224	31	,	,	PUNCT
easat-10155	224	32	"	"	PUNCT
easat-10155	224	33	applied	apply	VERB
easat-10155	224	34	mathematical	mathematical	ADJ
easat-10155	224	35	modelling	modelling	NOUN
easat-10155	224	36	,	,	PUNCT
easat-10155	224	37	vol	vol	NOUN
easat-10155	224	38	.	.	PROPN
easat-10155	225	1	37	37	NUM
easat-10155	225	2	,	,	PUNCT
easat-10155	225	3	no	no	INTJ
easat-10155	225	4	.	.	NOUN
easat-10155	225	5	5	5	NUM
easat-10155	225	6	,	,	PUNCT
easat-10155	225	7	pp	pp	ADJ
easat-10155	225	8	.	.	PUNCT
easat-10155	226	1	2702	2702	NUM
easat-10155	226	2	-	-	SYM
easat-10155	226	3	2708	2708	NUM
easat-10155	226	4	,	,	PUNCT
easat-10155	226	5	2013	2013	NUM
easat-10155	226	6	.	.	PUNCT
easat-10155	227	1	[	[	X
easat-10155	227	2	18	18	NUM
easat-10155	227	3	]	]	X
easat-10155	227	4	r.	r.	PROPN
easat-10155	227	5	usha	usha	PROPN
easat-10155	227	6	and	and	CCONJ
easat-10155	227	7	l.	l.	PROPN
easat-10155	227	8	rajendran	rajendran	PROPN
easat-10155	227	9	,	,	PUNCT
easat-10155	227	10	"	"	PUNCT
easat-10155	227	11	taylor	taylor	PROPN
easat-10155	227	12	’s	’s	PART
easat-10155	227	13	series	series	PROPN
easat-10155	227	14	method	method	NOUN
easat-10155	227	15	for	for	ADP
easat-10155	227	16	solving	solve	VERB
easat-10155	227	17	the	the	DET
easat-10155	227	18	nonlinear	nonlinear	ADJ
easat-10155	227	19	reaction	reaction	NOUN
easat-10155	227	20	-	-	PUNCT
easat-10155	227	21	diffusion	diffusion	NOUN
easat-10155	227	22	equation	equation	NOUN
easat-10155	227	23	in	in	ADP
easat-10155	227	24	the	the	DET
easat-10155	227	25	electroactive	electroactive	ADJ
easat-10155	227	26	polymer	polymer	NOUN
easat-10155	227	27	film	film	NOUN
easat-10155	227	28	,	,	PUNCT
easat-10155	227	29	"	"	PUNCT
easat-10155	227	30	chemical	chemical	ADJ
easat-10155	227	31	physics	physics	NOUN
easat-10155	227	32	letters	letter	NOUN
easat-10155	227	33	,	,	PUNCT
easat-10155	227	34	vol	vol	NOUN
easat-10155	227	35	.	.	PROPN
easat-10155	227	36	754	754	NUM
easat-10155	227	37	,	,	PUNCT
easat-10155	227	38	p.	p.	NOUN
easat-10155	227	39	137573	137573	NUM
easat-10155	227	40	,	,	PUNCT
easat-10155	227	41	2020	2020	NUM
easat-10155	227	42	.	.	PUNCT
easat-10155	228	1	[	[	X
easat-10155	228	2	19	19	NUM
easat-10155	228	3	]	]	X
easat-10155	228	4	j.-h	j.-h	NOUN
easat-10155	228	5	.	.	PUNCT
easat-10155	229	1	he	he	PRON
easat-10155	229	2	,	,	PUNCT
easat-10155	229	3	"	"	PUNCT
easat-10155	229	4	homotopy	homotopy	VERB
easat-10155	229	5	perturbation	perturbation	NOUN
easat-10155	229	6	method	method	NOUN
easat-10155	229	7	with	with	ADP
easat-10155	229	8	an	an	DET
easat-10155	229	9	auxiliary	auxiliary	ADJ
easat-10155	229	10	term	term	NOUN
easat-10155	229	11	,	,	PUNCT
easat-10155	229	12	"	"	PUNCT
easat-10155	229	13	in	in	ADP
easat-10155	229	14	abstract	abstract	ADJ
easat-10155	229	15	and	and	CCONJ
easat-10155	229	16	applied	apply	VERB
easat-10155	229	17	analysis	analysis	NOUN
easat-10155	229	18	,	,	PUNCT
easat-10155	229	19	2012	2012	NUM
easat-10155	229	20	:	:	PUNCT
easat-10155	229	21	wiley	wiley	PROPN
easat-10155	229	22	online	online	PROPN
easat-10155	229	23	library	library	PROPN
easat-10155	229	24	.	.	PUNCT
easat-10155	230	1	[	[	X
easat-10155	230	2	20	20	NUM
easat-10155	230	3	]	]	SYM
easat-10155	230	4	j.-h	j.-h	NOUN
easat-10155	230	5	.	.	PUNCT
easat-10155	231	1	he	he	PRON
easat-10155	231	2	,	,	PUNCT
easat-10155	231	3	"	"	PUNCT
easat-10155	231	4	a	a	DET
easat-10155	231	5	coupling	coupling	NOUN
easat-10155	231	6	method	method	NOUN
easat-10155	231	7	of	of	ADP
easat-10155	231	8	a	a	DET
easat-10155	231	9	homotopy	homotopy	NOUN
easat-10155	231	10	technique	technique	NOUN
easat-10155	231	11	and	and	CCONJ
easat-10155	231	12	a	a	DET
easat-10155	231	13	perturbation	perturbation	NOUN
easat-10155	231	14	technique	technique	NOUN
easat-10155	231	15	for	for	ADP
easat-10155	231	16	non	non	ADJ
easat-10155	231	17	-	-	ADJ
easat-10155	231	18	linear	linear	ADJ
easat-10155	231	19	problems	problem	NOUN
easat-10155	231	20	,	,	PUNCT
easat-10155	231	21	"	"	PUNCT
easat-10155	231	22	international	international	ADJ
easat-10155	231	23	journal	journal	NOUN
easat-10155	231	24	of	of	ADP
easat-10155	231	25	non	non	ADJ
easat-10155	231	26	-	-	ADJ
easat-10155	231	27	linear	linear	ADJ
easat-10155	231	28	mechanics	mechanic	NOUN
easat-10155	231	29	,	,	PUNCT
easat-10155	231	30	vol	vol	NOUN
easat-10155	231	31	.	.	PROPN
easat-10155	231	32	35	35	NUM
easat-10155	231	33	,	,	PUNCT
easat-10155	231	34	no	no	INTJ
easat-10155	231	35	.	.	NOUN
easat-10155	231	36	1	1	NUM
easat-10155	231	37	,	,	PUNCT
easat-10155	231	38	pp	pp	ADJ
easat-10155	231	39	.	.	PUNCT
easat-10155	232	1	37	37	NUM
easat-10155	232	2	-	-	SYM
easat-10155	232	3	43	43	NUM
easat-10155	232	4	,	,	PUNCT
easat-10155	232	5	2000	2000	NUM
easat-10155	232	6	.	.	PUNCT
easat-10155	233	1	[	[	X
easat-10155	233	2	21	21	NUM
easat-10155	233	3	]	]	X
easat-10155	233	4	j.-h	j.-h	NOUN
easat-10155	233	5	.	.	PUNCT
easat-10155	234	1	he	he	PRON
easat-10155	234	2	,	,	PUNCT
easat-10155	234	3	"	"	PUNCT
easat-10155	234	4	homotopy	homotopy	VERB
easat-10155	234	5	perturbation	perturbation	NOUN
easat-10155	234	6	technique	technique	NOUN
easat-10155	234	7	,	,	PUNCT
easat-10155	234	8	"	"	PUNCT
easat-10155	234	9	computer	computer	NOUN
easat-10155	234	10	methods	method	NOUN
easat-10155	234	11	in	in	ADP
easat-10155	234	12	applied	applied	ADJ
easat-10155	234	13	mechanics	mechanic	NOUN
easat-10155	234	14	and	and	CCONJ
easat-10155	234	15	engineering	engineering	NOUN
easat-10155	234	16	,	,	PUNCT
easat-10155	234	17	vol	vol	NOUN
easat-10155	234	18	.	.	PROPN
easat-10155	234	19	178	178	NUM
easat-10155	234	20	,	,	PUNCT
easat-10155	234	21	no	no	INTJ
easat-10155	234	22	.	.	NOUN
easat-10155	234	23	34	34	NUM
easat-10155	234	24	,	,	PUNCT
easat-10155	234	25	pp	pp	ADJ
easat-10155	234	26	.	.	PUNCT
easat-10155	235	1	257	257	NUM
easat-10155	235	2	-	-	SYM
easat-10155	235	3	262	262	NUM
easat-10155	235	4	,	,	PUNCT
easat-10155	235	5	1999	1999	NUM
easat-10155	235	6	.	.	PUNCT
easat-10155	236	1	[	[	X
easat-10155	236	2	22	22	NUM
easat-10155	236	3	]	]	X
easat-10155	236	4	j.-h	j.-h	NOUN
easat-10155	236	5	.	.	PUNCT
easat-10155	237	1	he	he	PRON
easat-10155	237	2	,	,	PUNCT
easat-10155	237	3	"	"	PUNCT
easat-10155	237	4	homotopy	homotopy	VERB
easat-10155	237	5	perturbation	perturbation	NOUN
easat-10155	237	6	method	method	NOUN
easat-10155	237	7	:	:	PUNCT
easat-10155	237	8	a	a	DET
easat-10155	237	9	new	new	ADJ
easat-10155	237	10	nonlinear	nonlinear	ADJ
easat-10155	237	11	analytical	analytical	ADJ
easat-10155	237	12	technique	technique	NOUN
easat-10155	237	13	,	,	PUNCT
easat-10155	237	14	"	"	PUNCT
easat-10155	237	15	applied	apply	VERB
easat-10155	237	16	mathematics	mathematic	NOUN
easat-10155	237	17	and	and	CCONJ
easat-10155	237	18	computation	computation	NOUN
easat-10155	237	19	,	,	PUNCT
easat-10155	237	20	vol	vol	NOUN
easat-10155	237	21	.	.	PROPN
easat-10155	237	22	135	135	NUM
easat-10155	237	23	,	,	PUNCT
easat-10155	237	24	no	no	INTJ
easat-10155	237	25	.	.	NOUN
easat-10155	237	26	1	1	NUM
easat-10155	237	27	,	,	PUNCT
easat-10155	237	28	pp	pp	ADJ
easat-10155	237	29	.	.	PUNCT
easat-10155	238	1	73	73	NUM
easat-10155	238	2	-	-	SYM
easat-10155	238	3	79	79	NUM
easat-10155	238	4	,	,	PUNCT
easat-10155	238	5	2003	2003	NUM
easat-10155	238	6	.	.	PUNCT
easat-10155	239	1	[	[	X
easat-10155	239	2	23	23	NUM
easat-10155	239	3	]	]	X
easat-10155	239	4	j.-h	j.-h	NOUN
easat-10155	239	5	.	.	PUNCT
easat-10155	240	1	he	he	PRON
easat-10155	240	2	,	,	PUNCT
easat-10155	240	3	"	"	PUNCT
easat-10155	240	4	the	the	DET
easat-10155	240	5	homotopy	homotopy	NOUN
easat-10155	240	6	perturbation	perturbation	NOUN
easat-10155	240	7	method	method	NOUN
easat-10155	240	8	for	for	ADP
easat-10155	240	9	nonlinear	nonlinear	ADJ
easat-10155	240	10	oscillators	oscillator	NOUN
easat-10155	240	11	with	with	ADP
easat-10155	240	12	discontinuities	discontinuity	NOUN
easat-10155	240	13	,	,	PUNCT
easat-10155	240	14	"	"	PUNCT
easat-10155	240	15	applied	apply	VERB
easat-10155	240	16	mathematics	mathematic	NOUN
easat-10155	240	17	and	and	CCONJ
easat-10155	240	18	computation	computation	NOUN
easat-10155	240	19	,	,	PUNCT
easat-10155	240	20	vol	vol	NOUN
easat-10155	240	21	.	.	PROPN
easat-10155	240	22	151	151	NUM
easat-10155	240	23	,	,	PUNCT
easat-10155	240	24	no	no	INTJ
easat-10155	240	25	.	.	NOUN
easat-10155	240	26	1	1	NUM
easat-10155	240	27	,	,	PUNCT
easat-10155	240	28	pp	pp	ADJ
easat-10155	240	29	.	.	PUNCT
easat-10155	241	1	287	287	NUM
easat-10155	241	2	-	-	SYM
easat-10155	241	3	292	292	NUM
easat-10155	241	4	,	,	PUNCT
easat-10155	241	5	2004	2004	NUM
easat-10155	241	6	.	.	PUNCT
easat-10155	242	1	[	[	X
easat-10155	242	2	24	24	NUM
easat-10155	242	3	]	]	X
easat-10155	242	4	j.-h	j.-h	NOUN
easat-10155	242	5	.	.	PUNCT
easat-10155	243	1	he	he	PRON
easat-10155	243	2	,	,	PUNCT
easat-10155	243	3	"	"	PUNCT
easat-10155	243	4	homotopy	homotopy	VERB
easat-10155	243	5	perturbation	perturbation	NOUN
easat-10155	243	6	method	method	NOUN
easat-10155	243	7	for	for	ADP
easat-10155	243	8	bifurcation	bifurcation	NOUN
easat-10155	243	9	of	of	ADP
easat-10155	243	10	nonlinear	nonlinear	ADJ
easat-10155	243	11	problems	problem	NOUN
easat-10155	243	12	,	,	PUNCT
easat-10155	243	13	"	"	PUNCT
easat-10155	243	14	international	international	ADJ
easat-10155	243	15	journal	journal	NOUN
easat-10155	243	16	of	of	ADP
easat-10155	243	17	nonlinear	nonlinear	PROPN
easat-10155	243	18	sciences	sciences	PROPN
easat-10155	243	19	and	and	CCONJ
easat-10155	243	20	numerical	numerical	PROPN
easat-10155	243	21	simulation	simulation	PROPN
easat-10155	243	22	,	,	PUNCT
easat-10155	243	23	vol	vol	NOUN
easat-10155	243	24	.	.	PROPN
easat-10155	244	1	6	6	NUM
easat-10155	244	2	,	,	PUNCT
easat-10155	244	3	no	no	INTJ
easat-10155	244	4	.	.	NOUN
easat-10155	244	5	2	2	NUM
easat-10155	244	6	,	,	PUNCT
easat-10155	244	7	pp	pp	ADJ
easat-10155	244	8	.	.	PUNCT
easat-10155	245	1	207	207	NUM
easat-10155	245	2	-	-	SYM
easat-10155	245	3	208	208	NUM
easat-10155	245	4	,	,	PUNCT
easat-10155	245	5	2005	2005	NUM
easat-10155	245	6	.	.	PUNCT
easat-10155	246	1	[	[	X
easat-10155	246	2	25	25	NUM
easat-10155	246	3	]	]	X
easat-10155	246	4	y.	y.	PROPN
easat-10155	246	5	khan	khan	PROPN
easat-10155	246	6	and	and	CCONJ
easat-10155	246	7	q.	q.	PROPN
easat-10155	246	8	wu	wu	PROPN
easat-10155	246	9	,	,	PUNCT
easat-10155	246	10	"	"	PUNCT
easat-10155	246	11	homotopy	homotopy	VERB
easat-10155	246	12	perturbation	perturbation	NOUN
easat-10155	246	13	transform	transform	NOUN
easat-10155	246	14	method	method	NOUN
easat-10155	246	15	for	for	ADP
easat-10155	246	16	nonlinear	nonlinear	ADJ
easat-10155	246	17	equations	equation	NOUN
easat-10155	246	18	using	use	VERB
easat-10155	246	19	he	he	PRON
easat-10155	246	20	’s	’s	PART
easat-10155	246	21	polynomials	polynomial	NOUN
easat-10155	246	22	,	,	PUNCT
easat-10155	246	23	"	"	PUNCT
easat-10155	246	24	computers	computer	NOUN
easat-10155	246	25	&	&	CCONJ
easat-10155	246	26	mathematics	mathematic	NOUN
easat-10155	246	27	with	with	ADP
easat-10155	246	28	applications	application	NOUN
easat-10155	246	29	,	,	PUNCT
easat-10155	246	30	vol	vol	NOUN
easat-10155	246	31	.	.	PROPN
easat-10155	246	32	61	61	NUM
easat-10155	246	33	,	,	PUNCT
easat-10155	246	34	no	no	INTJ
easat-10155	246	35	.	.	NOUN
easat-10155	246	36	8	8	NUM
easat-10155	246	37	,	,	PUNCT
easat-10155	246	38	pp	pp	ADJ
easat-10155	246	39	.	.	PUNCT
easat-10155	247	1	1963	1963	NUM
easat-10155	247	2	-	-	SYM
easat-10155	247	3	1967	1967	NUM
easat-10155	247	4	,	,	PUNCT
easat-10155	247	5	2011	2011	NUM
easat-10155	247	6	.	.	PUNCT
easat-10155	248	1	[	[	X
easat-10155	248	2	26	26	NUM
easat-10155	248	3	]	]	X
easat-10155	248	4	y.	y.	PROPN
easat-10155	248	5	khan	khan	PROPN
easat-10155	248	6	and	and	CCONJ
easat-10155	248	7	m.	m.	PROPN
easat-10155	248	8	usman	usman	PROPN
easat-10155	248	9	,	,	PUNCT
easat-10155	248	10	"	"	PUNCT
easat-10155	248	11	modified	modify	VERB
easat-10155	248	12	homotopy	homotopy	NOUN
easat-10155	248	13	perturbation	perturbation	NOUN
easat-10155	248	14	transform	transform	NOUN
easat-10155	248	15	method	method	NOUN
easat-10155	248	16	:	:	PUNCT
easat-10155	248	17	a	a	DET
easat-10155	248	18	paradigm	paradigm	NOUN
easat-10155	248	19	for	for	ADP
easat-10155	248	20	nonlinear	nonlinear	ADJ
easat-10155	248	21	boundary	boundary	ADJ
easat-10155	248	22	layer	layer	NOUN
easat-10155	248	23	problems	problem	NOUN
easat-10155	248	24	,	,	PUNCT
easat-10155	248	25	"	"	PUNCT
easat-10155	248	26	international	international	ADJ
easat-10155	248	27	journal	journal	NOUN
easat-10155	248	28	of	of	ADP
easat-10155	248	29	nonlinear	nonlinear	PROPN
easat-10155	248	30	sciences	sciences	PROPN
easat-10155	248	31	and	and	CCONJ
easat-10155	248	32	numerical	numerical	PROPN
easat-10155	248	33	simulation	simulation	PROPN
easat-10155	248	34	,	,	PUNCT
easat-10155	248	35	vol	vol	NOUN
easat-10155	248	36	.	.	PROPN
easat-10155	248	37	15	15	NUM
easat-10155	248	38	,	,	PUNCT
easat-10155	248	39	no	no	INTJ
easat-10155	248	40	.	.	NOUN
easat-10155	248	41	1	1	NUM
easat-10155	248	42	,	,	PUNCT
easat-10155	248	43	pp	pp	ADJ
easat-10155	248	44	.	.	PUNCT
easat-10155	249	1	19	19	NUM
easat-10155	249	2	-	-	SYM
easat-10155	249	3	25	25	NUM
easat-10155	249	4	,	,	PUNCT
easat-10155	249	5	2014	2014	NUM
easat-10155	249	6	.	.	PUNCT
easat-10155	250	1	[	[	X
easat-10155	250	2	27	27	NUM
easat-10155	250	3	]	]	X
easat-10155	250	4	h.	h.	PROPN
easat-10155	250	5	m.	m.	PROPN
easat-10155	250	6	srivastava	srivastava	PROPN
easat-10155	250	7	and	and	CCONJ
easat-10155	250	8	m.	m.	NOUN
easat-10155	250	9	izadi	izadi	NOUN
easat-10155	250	10	,	,	PUNCT
easat-10155	250	11	"	"	PUNCT
easat-10155	250	12	the	the	DET
easat-10155	250	13	rothe	rothe	PROPN
easat-10155	250	14	-	-	PUNCT
easat-10155	250	15	newton	newton	PROPN
easat-10155	250	16	approach	approach	NOUN
easat-10155	250	17	to	to	PART
easat-10155	250	18	simulate	simulate	VERB
easat-10155	250	19	the	the	DET
easat-10155	250	20	variable	variable	ADJ
easat-10155	250	21	coefficient	coefficient	NOUN
easat-10155	250	22	convection	convection	NOUN
easat-10155	250	23	-	-	PUNCT
easat-10155	250	24	diffusion	diffusion	NOUN
easat-10155	250	25	equations	equation	NOUN
easat-10155	250	26	,	,	PUNCT
easat-10155	250	27	"	"	PUNCT
easat-10155	250	28	journal	journal	NOUN
easat-10155	250	29	of	of	ADP
easat-10155	250	30	mahani	mahani	PROPN
easat-10155	250	31	mathematical	mathematical	PROPN
easat-10155	250	32	research	research	NOUN
easat-10155	250	33	,	,	PUNCT
easat-10155	250	34	vol	vol	NOUN
easat-10155	250	35	.	.	PROPN
easat-10155	250	36	11	11	NUM
easat-10155	250	37	,	,	PUNCT
easat-10155	250	38	no	no	INTJ
easat-10155	250	39	.	.	NOUN
easat-10155	250	40	2	2	NUM
easat-10155	250	41	,	,	PUNCT
easat-10155	250	42	pp	pp	ADJ
easat-10155	250	43	.	.	PUNCT
easat-10155	251	1	141	141	NUM
easat-10155	251	2	-	-	SYM
easat-10155	251	3	158	158	NUM
easat-10155	251	4	,	,	PUNCT
easat-10155	251	5	2022	2022	NUM
easat-10155	251	6	.	.	PUNCT
easat-10155	252	1	[	[	X
easat-10155	252	2	28	28	NUM
easat-10155	252	3	]	]	X
easat-10155	252	4	l.	l.	PROPN
easat-10155	252	5	rajendran	rajendran	PROPN
easat-10155	252	6	,	,	PUNCT
easat-10155	252	7	r.	r.	PROPN
easat-10155	252	8	swaminathan	swaminathan	PROPN
easat-10155	252	9	,	,	PUNCT
easat-10155	252	10	and	and	CCONJ
easat-10155	252	11	m.	m.	PROPN
easat-10155	252	12	c.	c.	PROPN
easat-10155	252	13	devi	devi	PROPN
easat-10155	252	14	,	,	PUNCT
easat-10155	252	15	a	a	DET
easat-10155	252	16	closer	close	ADJ
easat-10155	252	17	look	look	NOUN
easat-10155	252	18	of	of	ADP
easat-10155	252	19	nonlinear	nonlinear	ADJ
easat-10155	252	20	reaction	reaction	NOUN
easat-10155	252	21	-	-	PUNCT
easat-10155	252	22	diffusion	diffusion	NOUN
easat-10155	252	23	equations	equation	NOUN
easat-10155	252	24	.	.	PUNCT
easat-10155	253	1	new	new	PROPN
easat-10155	253	2	york	york	PROPN
easat-10155	253	3	,	,	PUNCT
easat-10155	253	4	ny	ny	PROPN
easat-10155	253	5	:	:	PUNCT
easat-10155	253	6	nova	nova	PROPN
easat-10155	253	7	science	science	NOUN
easat-10155	253	8	publishers	publisher	NOUN
easat-10155	253	9	,	,	PUNCT
easat-10155	253	10	2020	2020	NUM
easat-10155	253	11	.	.	PUNCT
easat-10155	254	1	[	[	X
easat-10155	254	2	29	29	NUM
easat-10155	254	3	]	]	X
easat-10155	254	4	m.	m.	NOUN
easat-10155	254	5	chitra	chitra	PROPN
easat-10155	254	6	devi	devi	PROPN
easat-10155	254	7	,	,	PUNCT
easat-10155	254	8	p.	p.	PROPN
easat-10155	254	9	pirabaharan	pirabaharan	PROPN
easat-10155	254	10	,	,	PUNCT
easat-10155	254	11	l.	l.	PROPN
easat-10155	254	12	rajendran	rajendran	PROPN
easat-10155	254	13	,	,	PUNCT
easat-10155	254	14	and	and	CCONJ
easat-10155	254	15	m.	m.	NOUN
easat-10155	254	16	abukhaled	abukhale	VERB
easat-10155	254	17	,	,	PUNCT
easat-10155	254	18	"	"	PUNCT
easat-10155	254	19	amperometric	amperometric	NOUN
easat-10155	254	20	biosensors	biosensor	NOUN
easat-10155	254	21	in	in	ADP
easat-10155	254	22	an	an	DET
easat-10155	254	23	uncompetitive	uncompetitive	ADJ
easat-10155	254	24	inhibition	inhibition	NOUN
easat-10155	254	25	processes	process	NOUN
easat-10155	254	26	:	:	PUNCT
easat-10155	254	27	a	a	DET
easat-10155	254	28	complete	complete	ADJ
easat-10155	254	29	theoretical	theoretical	ADJ
easat-10155	254	30	and	and	CCONJ
easat-10155	254	31	numerical	numerical	ADJ
easat-10155	254	32	analysis	analysis	NOUN
easat-10155	254	33	,	,	PUNCT
easat-10155	254	34	"	"	PUNCT
easat-10155	254	35	reaction	reaction	NOUN
easat-10155	254	36	kinetics	kinetic	NOUN
easat-10155	254	37	,	,	PUNCT
easat-10155	254	38	mechanisms	mechanism	NOUN
easat-10155	254	39	and	and	CCONJ
easat-10155	254	40	catalysis	catalysis	NOUN
easat-10155	254	41	,	,	PUNCT
easat-10155	254	42	vol	vol	NOUN
easat-10155	254	43	.	.	PROPN
easat-10155	255	1	133	133	NUM
easat-10155	255	2	,	,	PUNCT
easat-10155	255	3	no	no	INTJ
easat-10155	255	4	.	.	NOUN
easat-10155	255	5	2	2	NUM
easat-10155	255	6	,	,	PUNCT
easat-10155	255	7	pp	pp	ADJ
easat-10155	255	8	.	.	PUNCT
easat-10155	256	1	655	655	NUM
easat-10155	256	2	-	-	PUNCT
easat-10155	256	3	668	668	NUM
easat-10155	256	4	,	,	PUNCT
easat-10155	256	5	2021	2021	NUM
easat-10155	256	6	.	.	PUNCT
easat-10155	257	1	[	[	X
easat-10155	257	2	30	30	NUM
easat-10155	257	3	]	]	X
easat-10155	257	4	r.	r.	PROPN
easat-10155	257	5	swaminathan	swaminathan	PROPN
easat-10155	257	6	,	,	PUNCT
easat-10155	257	7	m.	m.	PROPN
easat-10155	257	8	c.	c.	PROPN
easat-10155	257	9	devi	devi	PROPN
easat-10155	257	10	,	,	PUNCT
easat-10155	257	11	l.	l.	PROPN
easat-10155	257	12	rajendran	rajendran	PROPN
easat-10155	257	13	,	,	PUNCT
easat-10155	257	14	and	and	CCONJ
easat-10155	257	15	k.	k.	PROPN
easat-10155	257	16	venugopal	venugopal	PROPN
easat-10155	257	17	,	,	PUNCT
easat-10155	257	18	"	"	PUNCT
easat-10155	257	19	sensitivity	sensitivity	NOUN
easat-10155	257	20	and	and	CCONJ
easat-10155	257	21	resistance	resistance	NOUN
easat-10155	257	22	of	of	ADP
easat-10155	257	23	amperometric	amperometric	NOUN
easat-10155	257	24	biosensors	biosensor	NOUN
easat-10155	257	25	in	in	ADP
easat-10155	257	26	substrate	substrate	NOUN
easat-10155	257	27	inhibition	inhibition	NOUN
easat-10155	257	28	processes	process	NOUN
easat-10155	257	29	,	,	PUNCT
easat-10155	257	30	"	"	PUNCT
easat-10155	257	31	journal	journal	NOUN
easat-10155	257	32	of	of	ADP
easat-10155	257	33	electroanalytical	electroanalytical	ADJ
easat-10155	257	34	chemistry	chemistry	NOUN
easat-10155	257	35	,	,	PUNCT
easat-10155	257	36	vol	vol	NOUN
easat-10155	257	37	.	.	PROPN
easat-10155	257	38	895	895	NUM
easat-10155	257	39	,	,	PUNCT
easat-10155	257	40	p.	p.	NOUN
easat-10155	257	41	115527	115527	NUM
easat-10155	257	42	,	,	PUNCT
easat-10155	257	43	2021	2021	NUM
easat-10155	257	44	.	.	PUNCT
easat-10155	258	1	[	[	X
easat-10155	258	2	31	31	NUM
easat-10155	258	3	]	]	PUNCT
easat-10155	258	4	b.	b.	PROPN
easat-10155	258	5	manimegalai	manimegalai	PROPN
easat-10155	258	6	,	,	PUNCT
easat-10155	258	7	m.	m.	PROPN
easat-10155	258	8	e.	e.	PROPN
easat-10155	258	9	lyons	lyons	PROPN
easat-10155	258	10	,	,	PUNCT
easat-10155	258	11	and	and	CCONJ
easat-10155	258	12	l.	l.	PROPN
easat-10155	258	13	rajendran	rajendran	PROPN
easat-10155	258	14	,	,	PUNCT
easat-10155	258	15	"	"	PUNCT
easat-10155	258	16	transient	transient	ADJ
easat-10155	258	17	chronoamperometric	chronoamperometric	ADJ
easat-10155	258	18	current	current	NOUN
easat-10155	258	19	at	at	ADP
easat-10155	258	20	rotating	rotate	VERB
easat-10155	258	21	disc	disc	NOUN
easat-10155	258	22	electrode	electrode	NOUN
easat-10155	258	23	for	for	ADP
easat-10155	258	24	second	second	ADJ
easat-10155	258	25	-	-	PUNCT
easat-10155	258	26	order	order	NOUN
easat-10155	258	27	ece	ece	PROPN
easat-10155	258	28	reactions	reaction	NOUN
easat-10155	258	29	,	,	PUNCT
easat-10155	258	30	"	"	PUNCT
easat-10155	258	31	journal	journal	NOUN
easat-10155	258	32	of	of	ADP
easat-10155	258	33	electroanalytical	electroanalytical	ADJ
easat-10155	258	34	chemistry	chemistry	NOUN
easat-10155	258	35	,	,	PUNCT
easat-10155	258	36	vol	vol	NOUN
easat-10155	258	37	.	.	PROPN
easat-10155	259	1	902	902	NUM
easat-10155	259	2	,	,	PUNCT
easat-10155	259	3	p.	p.	NOUN
easat-10155	259	4	115775	115775	NUM
easat-10155	259	5	,	,	PUNCT
easat-10155	259	6	2021	2021	NUM
easat-10155	259	7	.	.	PUNCT
easat-10155	260	1	[	[	X
easat-10155	260	2	32	32	NUM
easat-10155	260	3	]	]	PUNCT
easat-10155	260	4	r.	r.	PROPN
easat-10155	260	5	j.	j.	PROPN
easat-10155	260	6	salomi	salomi	PROPN
easat-10155	260	7	,	,	PUNCT
easat-10155	260	8	s.	s.	PROPN
easat-10155	260	9	v.	v.	PROPN
easat-10155	260	10	sylvia	sylvia	PROPN
easat-10155	260	11	,	,	PUNCT
easat-10155	260	12	l.	l.	PROPN
easat-10155	260	13	rajendran	rajendran	PROPN
easat-10155	260	14	,	,	PUNCT
easat-10155	260	15	and	and	CCONJ
easat-10155	260	16	m.	m.	NOUN
easat-10155	260	17	lyons	lyons	PROPN
easat-10155	260	18	,	,	PUNCT
easat-10155	260	19	"	"	PUNCT
easat-10155	260	20	transient	transient	ADJ
easat-10155	260	21	current	current	ADJ
easat-10155	260	22	,	,	PUNCT
easat-10155	260	23	sensitivity	sensitivity	NOUN
easat-10155	260	24	and	and	CCONJ
easat-10155	260	25	resistance	resistance	NOUN
easat-10155	260	26	of	of	ADP
easat-10155	260	27	biosensors	biosensor	NOUN
easat-10155	260	28	acting	act	VERB
easat-10155	260	29	in	in	ADP
easat-10155	260	30	a	a	DET
easat-10155	260	31	trigger	trigger	NOUN
easat-10155	260	32	mode	mode	NOUN
easat-10155	260	33	:	:	PUNCT
easat-10155	260	34	theoretical	theoretical	ADJ
easat-10155	260	35	study	study	NOUN
easat-10155	260	36	,	,	PUNCT
easat-10155	260	37	"	"	PUNCT
easat-10155	260	38	journal	journal	NOUN
easat-10155	260	39	of	of	ADP
easat-10155	260	40	electroanalytical	electroanalytical	ADJ
easat-10155	260	41	chemistry	chemistry	NOUN
easat-10155	260	42	,	,	PUNCT
easat-10155	260	43	vol	vol	NOUN
easat-10155	260	44	.	.	PROPN
easat-10155	260	45	895	895	NUM
easat-10155	260	46	,	,	PUNCT
easat-10155	260	47	p.	p.	NOUN
easat-10155	260	48	115421	115421	NUM
easat-10155	260	49	,	,	PUNCT
easat-10155	260	50	2021	2021	NUM
easat-10155	260	51	.	.	PUNCT
easat-10155	261	1	[	[	X
easat-10155	261	2	33	33	NUM
easat-10155	261	3	]	]	PUNCT
easat-10155	261	4	b.	b.	PROPN
easat-10155	261	5	manimegalai	manimegalai	PROPN
easat-10155	261	6	,	,	PUNCT
easat-10155	261	7	l.	l.	PROPN
easat-10155	261	8	rajendran	rajendran	PROPN
easat-10155	261	9	,	,	PUNCT
easat-10155	261	10	and	and	CCONJ
easat-10155	261	11	m.	m.	NOUN
easat-10155	261	12	lyons	lyon	NOUN
easat-10155	261	13	,	,	PUNCT
easat-10155	261	14	"	"	PUNCT
easat-10155	261	15	theory	theory	NOUN
easat-10155	261	16	of	of	ADP
easat-10155	261	17	the	the	DET
easat-10155	261	18	transient	transient	ADJ
easat-10155	261	19	current	current	ADJ
easat-10155	261	20	response	response	NOUN
easat-10155	261	21	for	for	ADP
easat-10155	261	22	the	the	DET
easat-10155	261	23	homogeneous	homogeneous	ADJ
easat-10155	261	24	mediated	mediate	VERB
easat-10155	261	25	enzyme	enzyme	NOUN
easat-10155	261	26	catalytic	catalytic	ADJ
easat-10155	261	27	mechanism	mechanism	NOUN
easat-10155	261	28	at	at	ADP
easat-10155	261	29	the	the	DET
easat-10155	261	30	rotating	rotate	VERB
easat-10155	261	31	disc	disc	NOUN
easat-10155	261	32	electrode	electrode	NOUN
easat-10155	261	33	,	,	PUNCT
easat-10155	261	34	"	"	PUNCT
easat-10155	261	35	international	international	ADJ
easat-10155	261	36	journal	journal	NOUN
easat-10155	261	37	of	of	ADP
easat-10155	261	38	electrochemical	electrochemical	ADJ
easat-10155	261	39	science	science	NOUN
easat-10155	261	40	,	,	PUNCT
easat-10155	261	41	vol	vol	NOUN
easat-10155	261	42	.	.	PROPN
easat-10155	261	43	16	16	NUM
easat-10155	261	44	,	,	PUNCT
easat-10155	261	45	no	no	INTJ
easat-10155	261	46	.	.	NOUN
easat-10155	261	47	9	9	NUM
easat-10155	261	48	,	,	PUNCT
easat-10155	261	49	p.	p.	NOUN
easat-10155	261	50	210946	210946	NUM
easat-10155	261	51	,	,	PUNCT
easat-10155	261	52	2021	2021	NUM
easat-10155	261	53	.	.	PUNCT
easat-10155	262	1	[	[	X
easat-10155	262	2	34	34	NUM
easat-10155	262	3	]	]	X
easat-10155	262	4	s.	s.	PROPN
easat-10155	262	5	v.	v.	PROPN
easat-10155	262	6	sylvia	sylvia	PROPN
easat-10155	262	7	,	,	PUNCT
easat-10155	262	8	r.	r.	PROPN
easat-10155	262	9	j.	j.	PROPN
easat-10155	262	10	salomi	salomi	PROPN
easat-10155	262	11	,	,	PUNCT
easat-10155	262	12	l.	l.	PROPN
easat-10155	262	13	rajendran	rajendran	PROPN
easat-10155	262	14	,	,	PUNCT
easat-10155	262	15	and	and	CCONJ
easat-10155	262	16	m.	m.	NOUN
easat-10155	262	17	lyons	lyon	NOUN
easat-10155	262	18	,	,	PUNCT
easat-10155	262	19	"	"	PUNCT
easat-10155	262	20	amperometric	amperometric	NOUN
easat-10155	262	21	biosensors	biosensor	NOUN
easat-10155	262	22	and	and	CCONJ
easat-10155	262	23	coupled	couple	VERB
easat-10155	262	24	enzyme	enzyme	NOUN
easat-10155	262	25	nonlinear	nonlinear	ADJ
easat-10155	262	26	reactions	reaction	NOUN
easat-10155	262	27	processes	process	NOUN
easat-10155	262	28	:	:	PUNCT
easat-10155	262	29	a	a	DET
easat-10155	262	30	complete	complete	ADJ
easat-10155	262	31	theoretical	theoretical	ADJ
easat-10155	262	32	and	and	CCONJ
easat-10155	262	33	numerical	numerical	ADJ
easat-10155	262	34	approach	approach	NOUN
easat-10155	262	35	,	,	PUNCT
easat-10155	262	36	"	"	PUNCT
easat-10155	262	37	electrochimica	electrochimica	PROPN
easat-10155	262	38	acta	acta	PROPN
easat-10155	262	39	,	,	PUNCT
easat-10155	262	40	vol	vol	NOUN
easat-10155	262	41	.	.	PROPN
easat-10155	262	42	415	415	NUM
easat-10155	262	43	,	,	PUNCT
easat-10155	262	44	p.	p.	NOUN
easat-10155	262	45	140236	140236	NUM
easat-10155	262	46	,	,	PUNCT
easat-10155	262	47	2022	2022	NUM
easat-10155	262	48	.	.	PUNCT
easat-10155	263	1	[	[	X
easat-10155	263	2	35	35	NUM
easat-10155	263	3	]	]	X
easat-10155	263	4	s.	s.	PROPN
easat-10155	263	5	v.	v.	PROPN
easat-10155	263	6	sylvia	sylvia	PROPN
easat-10155	263	7	,	,	PUNCT
easat-10155	263	8	r.	r.	PROPN
easat-10155	263	9	j.	j.	PROPN
easat-10155	263	10	salomi	salomi	PROPN
easat-10155	263	11	,	,	PUNCT
easat-10155	263	12	m.	m.	NOUN
easat-10155	263	13	lyons	lyons	PROPN
easat-10155	263	14	,	,	PUNCT
easat-10155	263	15	and	and	CCONJ
easat-10155	263	16	l.	l.	PROPN
easat-10155	263	17	rajendran	rajendran	PROPN
easat-10155	263	18	,	,	PUNCT
easat-10155	263	19	"	"	PUNCT
easat-10155	263	20	transient	transient	ADJ
easat-10155	263	21	current	current	NOUN
easat-10155	263	22	of	of	ADP
easat-10155	263	23	catalytic	catalytic	ADJ
easat-10155	263	24	processes	process	NOUN
easat-10155	263	25	at	at	ADP
easat-10155	263	26	chemically	chemically	ADV
easat-10155	263	27	modified	modify	VERB
easat-10155	263	28	electrodes	electrode	NOUN
easat-10155	263	29	,	,	PUNCT
easat-10155	263	30	"	"	PUNCT
easat-10155	263	31	international	international	ADJ
easat-10155	263	32	journal	journal	NOUN
easat-10155	263	33	of	of	ADP
easat-10155	263	34	electrochemical	electrochemical	ADJ
easat-10155	263	35	science	science	NOUN
easat-10155	263	36	,	,	PUNCT
easat-10155	263	37	vol	vol	NOUN
easat-10155	263	38	.	.	PROPN
easat-10155	264	1	16	16	NUM
easat-10155	264	2	,	,	PUNCT
easat-10155	264	3	no	no	INTJ
easat-10155	264	4	.	.	NOUN
easat-10155	264	5	4	4	NUM
easat-10155	264	6	,	,	PUNCT
easat-10155	264	7	p.	p.	NOUN
easat-10155	264	8	210452	210452	NUM
easat-10155	264	9	,	,	PUNCT
easat-10155	264	10	2021	2021	NUM
easat-10155	264	11	.	.	PUNCT
easat-10155	265	1	[	[	X
easat-10155	265	2	36	36	NUM
easat-10155	265	3	]	]	X
easat-10155	265	4	r.	r.	PROPN
easat-10155	265	5	g.	g.	PROPN
easat-10155	265	6	compton	compton	PROPN
easat-10155	265	7	,	,	PUNCT
easat-10155	265	8	"	"	PUNCT
easat-10155	265	9	understanding	understand	VERB
easat-10155	265	10	voltammetry	voltammetry	NOUN
easat-10155	265	11	,	,	PUNCT
easat-10155	265	12	"	"	PUNCT
easat-10155	265	13	2nd	2nd	ADJ
easat-10155	265	14	ed	ed	NOUN
easat-10155	265	15	.	.	PUNCT
easat-10155	266	1	ed	ed	NOUN
easat-10155	266	2	.	.	PUNCT
easat-10155	266	3	singapore	singapore	PROPN
easat-10155	266	4	:	:	PUNCT
easat-10155	266	5	world	world	NOUN
easat-10155	266	6	scientific	scientific	ADJ
easat-10155	266	7	publishing	publishing	NOUN
easat-10155	266	8	,	,	PUNCT
easat-10155	266	9	2010	2010	NUM
easat-10155	266	10	,	,	PUNCT
easat-10155	266	11	p.	p.	NOUN
easat-10155	266	12	138	138	NUM
easat-10155	266	13	.	.	PUNCT
easat-10155	267	1	[	[	X
easat-10155	267	2	37	37	NUM
easat-10155	267	3	]	]	PUNCT
easat-10155	267	4	j.	j.	PROPN
easat-10155	267	5	d.	d.	PROPN
easat-10155	267	6	murray	murray	PROPN
easat-10155	267	7	,	,	PUNCT
easat-10155	267	8	mathematical	mathematical	ADJ
easat-10155	267	9	biology	biology	NOUN
easat-10155	267	10	:	:	PUNCT
easat-10155	267	11	i.	i.	NOUN
easat-10155	267	12	an	an	DET
easat-10155	267	13	introduction	introduction	NOUN
easat-10155	267	14	3rd	3rd	PROPN
easat-10155	267	15	ed	ed	NOUN
easat-10155	267	16	.	.	PUNCT
easat-10155	268	1	ed	ed	NOUN
easat-10155	268	2	.	.	PUNCT
easat-10155	269	1	new	new	PROPN
easat-10155	269	2	york	york	PROPN
easat-10155	269	3	:	:	PUNCT
easat-10155	269	4	springer	springer	NOUN
easat-10155	269	5	,	,	PUNCT
easat-10155	269	6	2002	2002	NUM
easat-10155	269	7	.	.	PUNCT
easat-10155	270	1	1482	1482	NUM
easat-10155	270	2	edelweiss	edelweiss	PROPN
easat-10155	270	3	applied	apply	VERB
easat-10155	270	4	science	science	NOUN
easat-10155	270	5	and	and	CCONJ
easat-10155	270	6	technology	technology	NOUN
easat-10155	270	7	issn	issn	PROPN
easat-10155	270	8	:	:	PUNCT
easat-10155	270	9	2576	2576	NUM
easat-10155	270	10	-	-	SYM
easat-10155	270	11	8484	8484	NUM
easat-10155	270	12	vol	vol	NOUN
easat-10155	270	13	.	.	PROPN
easat-10155	271	1	9	9	NUM
easat-10155	271	2	,	,	PUNCT
easat-10155	271	3	no	no	INTJ
easat-10155	271	4	.	.	NOUN
easat-10155	271	5	9	9	NUM
easat-10155	271	6	:	:	SYM
easat-10155	271	7	1471	1471	NUM
easat-10155	271	8	-	-	SYM
easat-10155	271	9	1483	1483	NUM
easat-10155	271	10	,	,	PUNCT
easat-10155	271	11	2025	2025	NUM
easat-10155	271	12	doi	doi	NOUN
easat-10155	271	13	:	:	PUNCT
easat-10155	271	14	10.55214/2576	10.55214/2576	NUM
easat-10155	271	15	-	-	SYM
easat-10155	271	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	271	17	©	©	ADP
easat-10155	271	18	2025	2025	NUM
easat-10155	271	19	by	by	ADP
easat-10155	271	20	the	the	DET
easat-10155	271	21	authors	author	NOUN
easat-10155	271	22	;	;	PUNCT
easat-10155	271	23	licensee	licensee	PROPN
easat-10155	271	24	learning	learning	NOUN
easat-10155	271	25	gate	gate	NOUN
easat-10155	272	1	[	[	X
easat-10155	272	2	38	38	NUM
easat-10155	272	3	]	]	PUNCT
easat-10155	272	4	p.	p.	PROPN
easat-10155	272	5	zheng	zheng	PROPN
easat-10155	272	6	,	,	PUNCT
easat-10155	272	7	c.	c.	PROPN
easat-10155	272	8	mu	mu	PROPN
easat-10155	272	9	,	,	PUNCT
easat-10155	272	10	and	and	CCONJ
easat-10155	272	11	x.	x.	PROPN
easat-10155	272	12	hu	hu	PROPN
easat-10155	272	13	,	,	PUNCT
easat-10155	272	14	"	"	PUNCT
easat-10155	272	15	dead	dead	ADJ
easat-10155	272	16	-	-	PUNCT
easat-10155	272	17	core	core	NOUN
easat-10155	272	18	rate	rate	NOUN
easat-10155	272	19	for	for	ADP
easat-10155	272	20	the	the	DET
easat-10155	272	21	fast	fast	ADJ
easat-10155	272	22	diffusion	diffusion	NOUN
easat-10155	272	23	equation	equation	NOUN
easat-10155	272	24	with	with	ADP
easat-10155	272	25	strong	strong	ADJ
easat-10155	272	26	absorption	absorption	NOUN
easat-10155	272	27	in	in	ADP
easat-10155	272	28	higher	high	ADJ
easat-10155	272	29	dimensional	dimensional	ADJ
easat-10155	272	30	cases	case	NOUN
easat-10155	272	31	,	,	PUNCT
easat-10155	272	32	"	"	PUNCT
easat-10155	272	33	applied	apply	VERB
easat-10155	272	34	mathematics	mathematic	NOUN
easat-10155	272	35	and	and	CCONJ
easat-10155	272	36	computation	computation	NOUN
easat-10155	272	37	,	,	PUNCT
easat-10155	272	38	vol	vol	NOUN
easat-10155	272	39	.	.	PROPN
easat-10155	272	40	335	335	NUM
easat-10155	272	41	,	,	PUNCT
easat-10155	272	42	pp	pp	ADJ
easat-10155	272	43	.	.	PUNCT
easat-10155	273	1	292	292	NUM
easat-10155	273	2	-	-	SYM
easat-10155	273	3	304	304	NUM
easat-10155	273	4	,	,	PUNCT
easat-10155	273	5	2018	2018	NUM
easat-10155	273	6	.	.	PUNCT
easat-10155	274	1	appendix	appendix	VERB
easat-10155	274	2	a.	a.	NOUN
easat-10155	274	3	solution	solution	NOUN
easat-10155	274	4	of	of	ADP
easat-10155	274	5	equations	equation	NOUN
easat-10155	274	6	(	(	PUNCT
easat-10155	274	7	14	14	NUM
easat-10155	274	8	)	)	PUNCT
easat-10155	274	9	and	and	CCONJ
easat-10155	274	10	(	(	PUNCT
easat-10155	274	11	15	15	NUM
easat-10155	274	12	)	)	PUNCT
easat-10155	274	13	.	.	PUNCT
easat-10155	275	1	the	the	DET
easat-10155	275	2	equations	equation	NOUN
easat-10155	275	3	(	(	PUNCT
easat-10155	275	4	14	14	NUM
easat-10155	275	5	)	)	PUNCT
easat-10155	275	6	and	and	CCONJ
easat-10155	275	7	(	(	PUNCT
easat-10155	275	8	15	15	NUM
easat-10155	275	9	)	)	PUNCT
easat-10155	275	10	can	can	AUX
easat-10155	275	11	be	be	AUX
easat-10155	275	12	written	write	VERB
easat-10155	275	13	as	as	SCONJ
easat-10155	275	14	follows	follow	VERB
easat-10155	275	15	:	:	PUNCT
easat-10155	275	16	𝜕2𝑈	𝜕2𝑈	NOUN
easat-10155	275	17	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	275	18	+	+	CCONJ
easat-10155	275	19	2	2	NUM
easat-10155	275	20	𝜌	𝜌	X
easat-10155	275	21	𝜕𝑈	𝜕𝑈	X
easat-10155	275	22	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	275	23	−	−	X
easat-10155	275	24	𝜕𝑈	𝜕𝑈	X
easat-10155	275	25	𝜕𝑇	𝜕𝑇	X
easat-10155	275	26	=	=	SYM
easat-10155	275	27	0	0	NUM
easat-10155	275	28	,	,	PUNCT
easat-10155	275	29	(	(	PUNCT
easat-10155	275	30	a1	a1	NOUN
easat-10155	275	31	)	)	PUNCT
easat-10155	275	32	𝜕2𝑉	𝜕2𝑉	VERB
easat-10155	275	33	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	275	34	+	+	CCONJ
easat-10155	275	35	2	2	NUM
easat-10155	275	36	𝜌	𝜌	ADP
easat-10155	275	37	𝜕𝑉	𝜕𝑉	NOUN
easat-10155	275	38	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	275	39	−	−	NOUN
easat-10155	275	40	𝜕𝑉	𝜕𝑉	PUNCT
easat-10155	276	1	𝜕𝑇	𝜕𝑇	NOUN
easat-10155	276	2	−	−	NOUN
easat-10155	276	3	𝑚𝑉2	𝑚𝑉2	PROPN
easat-10155	277	1	=	=	SYM
easat-10155	277	2	0	0	X
easat-10155	277	3	.	.	PUNCT
easat-10155	277	4	(	(	PUNCT
easat-10155	277	5	a2	a2	NOUN
easat-10155	277	6	)	)	PUNCT
easat-10155	277	7	dimensionless	dimensionless	NOUN
easat-10155	277	8	initial	initial	ADJ
easat-10155	277	9	and	and	CCONJ
easat-10155	277	10	boundary	boundary	ADJ
easat-10155	277	11	conditions	condition	NOUN
easat-10155	277	12	are	be	AUX
easat-10155	277	13	as	as	SCONJ
easat-10155	277	14	follows	follow	VERB
easat-10155	277	15	:	:	PUNCT
easat-10155	277	16	at	at	ADP
easat-10155	277	17	𝑇	𝑇	PROPN
easat-10155	277	18	=	=	SYM
easat-10155	277	19	0	0	PROPN
easat-10155	277	20	,	,	PUNCT
easat-10155	277	21	𝑈	𝑈	NOUN
easat-10155	277	22	=	=	SYM
easat-10155	277	23	1	1	NUM
easat-10155	277	24	,	,	PUNCT
easat-10155	277	25	𝑉	𝑉	PROPN
easat-10155	277	26	=	=	NOUN
easat-10155	277	27	0	0	PROPN
easat-10155	277	28	.	.	PUNCT
easat-10155	278	1	(	(	PUNCT
easat-10155	278	2	a3	a3	NOUN
easat-10155	278	3	)	)	PUNCT
easat-10155	278	4	at	at	ADP
easat-10155	278	5	𝜌	𝜌	X
easat-10155	278	6	=	=	SYM
easat-10155	278	7	1	1	NUM
easat-10155	278	8	,	,	PUNCT
easat-10155	278	9	𝑈	𝑈	PROPN
easat-10155	278	10	=	=	SYM
easat-10155	278	11	𝑉	𝑉	PROPN
easat-10155	278	12	,	,	PUNCT
easat-10155	278	13	and	and	CCONJ
easat-10155	278	14	𝑈′	𝑈′	ADJ
easat-10155	278	15	=	=	SYM
easat-10155	278	16	−𝑉′.	−𝑉′.	X
easat-10155	278	17	(	(	PUNCT
easat-10155	278	18	a4	a4	NOUN
easat-10155	278	19	)	)	PUNCT
easat-10155	278	20	at	at	ADP
easat-10155	278	21	𝜌	𝜌	X
easat-10155	278	22	=	=	SYM
easat-10155	278	23	∞	∞	PROPN
easat-10155	278	24	,	,	PUNCT
easat-10155	278	25	𝑈(∞	𝑈(∞	ADV
easat-10155	278	26	)	)	PUNCT
easat-10155	278	27	=	=	SYM
easat-10155	278	28	1	1	NUM
easat-10155	278	29	,	,	PUNCT
easat-10155	278	30	𝑉(∞	𝑉(∞	NOUN
easat-10155	278	31	)	)	PUNCT
easat-10155	278	32	=	=	SYM
easat-10155	279	1	0	0	X
easat-10155	279	2	.	.	PUNCT
easat-10155	280	1	(	(	PUNCT
easat-10155	280	2	a5	a5	PROPN
easat-10155	280	3	)	)	PUNCT
easat-10155	280	4	the	the	DET
easat-10155	280	5	homotopy	homotopy	NOUN
easat-10155	280	6	for	for	ADP
easat-10155	280	7	the	the	DET
easat-10155	280	8	nonlinear	nonlinear	ADJ
easat-10155	280	9	equation	equation	NOUN
easat-10155	280	10	(	(	PUNCT
easat-10155	280	11	a2	a2	PROPN
easat-10155	280	12	)	)	PUNCT
easat-10155	280	13	can	can	AUX
easat-10155	280	14	be	be	AUX
easat-10155	280	15	constructed	construct	VERB
easat-10155	280	16	as	as	SCONJ
easat-10155	280	17	follows	follow	VERB
easat-10155	280	18	:	:	PUNCT
easat-10155	280	19	(	(	PUNCT
easat-10155	280	20	1	1	NUM
easat-10155	280	21	−	−	PROPN
easat-10155	280	22	𝑝	𝑝	NOUN
easat-10155	280	23	)	)	PUNCT
easat-10155	280	24	[	[	PUNCT
easat-10155	280	25	𝜕2𝑉	𝜕2𝑉	ADJ
easat-10155	280	26	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	280	27	+	+	CCONJ
easat-10155	280	28	2	2	NUM
easat-10155	280	29	𝜌	𝜌	ADP
easat-10155	280	30	𝜕𝑉	𝜕𝑉	NOUN
easat-10155	280	31	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	280	32	−	−	NOUN
easat-10155	280	33	𝜕𝑉	𝜕𝑉	X
easat-10155	281	1	𝜕𝑇	𝜕𝑇	X
easat-10155	281	2	]	]	PUNCT
easat-10155	282	1	+	+	CCONJ
easat-10155	282	2	𝑝	𝑝	ADJ
easat-10155	282	3	[	[	PUNCT
easat-10155	282	4	𝜕2𝑉	𝜕2𝑉	ADJ
easat-10155	282	5	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	282	6	+	+	CCONJ
easat-10155	282	7	2	2	NUM
easat-10155	282	8	𝜌	𝜌	ADP
easat-10155	282	9	𝜕𝑉	𝜕𝑉	NOUN
easat-10155	282	10	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	282	11	−	−	NOUN
easat-10155	282	12	𝜕𝑉	𝜕𝑉	PUNCT
easat-10155	282	13	𝜕𝑇	𝜕𝑇	NOUN
easat-10155	282	14	−	−	NOUN
easat-10155	282	15	𝑚𝑉2	𝑚𝑉2	NUM
easat-10155	282	16	]	]	X
easat-10155	282	17	=	=	SYM
easat-10155	282	18	0	0	X
easat-10155	282	19	.	.	PUNCT
easat-10155	283	1	(	(	PUNCT
easat-10155	283	2	a6	a6	NOUN
easat-10155	283	3	)	)	PUNCT
easat-10155	283	4	now	now	ADV
easat-10155	283	5	assume	assume	VERB
easat-10155	283	6	that	that	SCONJ
easat-10155	283	7	the	the	DET
easat-10155	283	8	solution	solution	NOUN
easat-10155	283	9	of	of	ADP
easat-10155	283	10	eqn.(a2	eqn.(a2	PROPN
easat-10155	283	11	)	)	PUNCT
easat-10155	283	12	is	be	AUX
easat-10155	283	13	𝑉	𝑉	PROPN
easat-10155	283	14	=	=	PUNCT
easat-10155	283	15	𝑉0	𝑉0	NOUN
easat-10155	283	16	+	+	CCONJ
easat-10155	283	17	𝑝𝑉1	𝑝𝑉1	PROPN
easat-10155	283	18	+	+	CCONJ
easat-10155	283	19	𝑝2	𝑝2	NOUN
easat-10155	283	20	𝑉2	𝑉2	NOUN
easat-10155	283	21	+	+	CCONJ
easat-10155	283	22	⋯.	⋯.	PROPN
easat-10155	283	23	(	(	PUNCT
easat-10155	283	24	a7	a7	PROPN
easat-10155	283	25	)	)	PUNCT
easat-10155	283	26	by	by	ADP
easat-10155	283	27	inserting	insert	VERB
easat-10155	283	28	eq	eq	ADP
easat-10155	283	29	.	.	PUNCT
easat-10155	284	1	(	(	PUNCT
easat-10155	284	2	a7	a7	PROPN
easat-10155	284	3	)	)	PUNCT
easat-10155	284	4	into	into	ADP
easat-10155	284	5	eq	eq	NOUN
easat-10155	284	6	.	.	PUNCT
easat-10155	285	1	(	(	PUNCT
easat-10155	285	2	a6	a6	NOUN
easat-10155	285	3	)	)	PUNCT
easat-10155	285	4	and	and	CCONJ
easat-10155	285	5	matching	match	VERB
easat-10155	285	6	powers	power	NOUN
easat-10155	285	7	of	of	ADP
easat-10155	285	8	p	p	NOUN
easat-10155	285	9	,	,	PUNCT
easat-10155	285	10	the	the	DET
easat-10155	285	11	following	follow	VERB
easat-10155	285	12	equations	equation	NOUN
easat-10155	285	13	are	be	AUX
easat-10155	285	14	obtained	obtain	VERB
easat-10155	285	15	.	.	PUNCT
easat-10155	286	1	𝑝0	𝑝0	PROPN
easat-10155	286	2	∶	∶	NOUN
easat-10155	286	3	𝜕2𝑉0	𝜕2𝑉0	NOUN
easat-10155	286	4	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	286	5	+	+	CCONJ
easat-10155	286	6	2	2	NUM
easat-10155	286	7	𝜌	𝜌	X
easat-10155	286	8	𝜕𝑉0	𝜕𝑉0	ADJ
easat-10155	286	9	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	286	10	−	−	NOUN
easat-10155	286	11	𝜕𝑉0	𝜕𝑉0	PUNCT
easat-10155	286	12	𝜕𝑇	𝜕𝑇	X
easat-10155	286	13	=	=	SYM
easat-10155	286	14	0	0	NUM
easat-10155	286	15	,	,	PUNCT
easat-10155	286	16	(	(	PUNCT
easat-10155	286	17	a8	a8	PROPN
easat-10155	286	18	)	)	PUNCT
easat-10155	286	19	𝑝1	𝑝1	NOUN
easat-10155	286	20	∶	∶	NOUN
easat-10155	286	21	𝜕2𝑉1	𝜕2𝑉1	ADJ
easat-10155	286	22	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	286	23	+	+	CCONJ
easat-10155	286	24	2	2	NUM
easat-10155	286	25	𝜌	𝜌	NOUN
easat-10155	286	26	𝜕𝑉1	𝜕𝑉1	NOUN
easat-10155	286	27	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	286	28	−	−	NOUN
easat-10155	286	29	𝜕𝑉1	𝜕𝑉1	NOUN
easat-10155	286	30	𝜕𝑇	𝜕𝑇	X
easat-10155	286	31	−	−	ADP
easat-10155	286	32	𝑚𝑉0	𝑚𝑉0	ADP
easat-10155	286	33	2	2	NUM
easat-10155	286	34	=	=	SYM
easat-10155	286	35	0	0	NUM
easat-10155	286	36	.	.	PUNCT
easat-10155	287	1	(	(	PUNCT
easat-10155	287	2	a9	a9	PROPN
easat-10155	287	3	)	)	PUNCT
easat-10155	287	4	the	the	DET
easat-10155	287	5	conditions	condition	NOUN
easat-10155	287	6	for	for	ADP
easat-10155	287	7	(	(	PUNCT
easat-10155	287	8	a8	a8	PROPN
easat-10155	287	9	)	)	PUNCT
easat-10155	287	10	are	be	AUX
easat-10155	287	11	as	as	SCONJ
easat-10155	287	12	follows	follow	VERB
easat-10155	287	13	:	:	PUNCT
easat-10155	287	14	𝑇	𝑇	PROPN
easat-10155	287	15	=	=	SYM
easat-10155	287	16	0	0	PROPN
easat-10155	287	17	,	,	PUNCT
easat-10155	287	18	𝑈	𝑈	NOUN
easat-10155	287	19	=	=	SYM
easat-10155	287	20	1	1	NUM
easat-10155	287	21	,	,	PUNCT
easat-10155	287	22	𝑉0	𝑉0	NOUN
easat-10155	287	23	=	=	SYM
easat-10155	287	24	0	0	NUM
easat-10155	287	25	,	,	PUNCT
easat-10155	287	26	(	(	PUNCT
easat-10155	287	27	a10	a10	NOUN
easat-10155	287	28	)	)	PUNCT
easat-10155	287	29	𝜌	𝜌	X
easat-10155	287	30	=	=	SYM
easat-10155	287	31	1	1	NUM
easat-10155	287	32	,	,	PUNCT
easat-10155	287	33	𝑈(1	𝑈(1	NOUN
easat-10155	287	34	)	)	PUNCT
easat-10155	287	35	=	=	SYM
easat-10155	287	36	𝑉0(1	𝑉0(1	NOUN
easat-10155	287	37	)	)	PUNCT
easat-10155	287	38	,	,	PUNCT
easat-10155	287	39	𝑈′(1	𝑈′(1	NOUN
easat-10155	287	40	)	)	PUNCT
easat-10155	287	41	=	=	SYM
easat-10155	287	42	−𝑉0	−𝑉0	PROPN
easat-10155	287	43	′(1	′(1	PROPN
easat-10155	287	44	)	)	PUNCT
easat-10155	287	45	,	,	PUNCT
easat-10155	287	46	(	(	PUNCT
easat-10155	287	47	a11	a11	PROPN
easat-10155	287	48	)	)	PUNCT
easat-10155	287	49	𝜌	𝜌	X
easat-10155	287	50	=	=	SYM
easat-10155	287	51	∞	∞	PROPN
easat-10155	287	52	,	,	PUNCT
easat-10155	287	53	𝑈(∞	𝑈(∞	ADV
easat-10155	287	54	)	)	PUNCT
easat-10155	287	55	=	=	SYM
easat-10155	287	56	1	1	NUM
easat-10155	287	57	,	,	PUNCT
easat-10155	287	58	𝑉0(∞	𝑉0(∞	PROPN
easat-10155	287	59	)	)	PUNCT
easat-10155	287	60	=	=	SYM
easat-10155	288	1	0	0	X
easat-10155	288	2	.	.	PUNCT
easat-10155	288	3	(	(	PUNCT
easat-10155	288	4	a12	a12	NUM
easat-10155	288	5	)	)	PUNCT
easat-10155	288	6	the	the	DET
easat-10155	288	7	following	follow	VERB
easat-10155	288	8	are	be	AUX
easat-10155	288	9	dimensionless	dimensionless	ADJ
easat-10155	288	10	conditions	condition	NOUN
easat-10155	288	11	for	for	ADP
easat-10155	288	12	(	(	PUNCT
easat-10155	288	13	a9	a9	NOUN
easat-10155	288	14	):	):	PUNCT
easat-10155	288	15	𝑇	𝑇	PROPN
easat-10155	288	16	=	=	SYM
easat-10155	288	17	0	0	NUM
easat-10155	288	18	,	,	PUNCT
easat-10155	288	19	𝑉1	𝑉1	NOUN
easat-10155	288	20	=	=	SYM
easat-10155	288	21	0	0	NUM
easat-10155	288	22	,	,	PUNCT
easat-10155	288	23	(	(	PUNCT
easat-10155	288	24	a13	a13	PROPN
easat-10155	288	25	)	)	PUNCT
easat-10155	288	26	𝜌	𝜌	X
easat-10155	288	27	=	=	SYM
easat-10155	288	28	1	1	NUM
easat-10155	288	29	,	,	PUNCT
easat-10155	288	30	𝑉1(1	𝑉1(1	NUM
easat-10155	288	31	)	)	PUNCT
easat-10155	288	32	=	=	SYM
easat-10155	288	33	0	0	NUM
easat-10155	288	34	,	,	PUNCT
easat-10155	288	35	𝑉1	𝑉1	NOUN
easat-10155	288	36	′	′	NUM
easat-10155	288	37	(	(	PUNCT
easat-10155	288	38	1	1	X
easat-10155	288	39	)	)	PUNCT
easat-10155	288	40	=	=	SYM
easat-10155	288	41	0	0	NUM
easat-10155	288	42	,	,	PUNCT
easat-10155	288	43	(	(	PUNCT
easat-10155	288	44	a14	a14	NOUN
easat-10155	288	45	)	)	PUNCT
easat-10155	288	46	𝜌	𝜌	X
easat-10155	288	47	=	=	SYM
easat-10155	288	48	∞	∞	PROPN
easat-10155	288	49	,	,	PUNCT
easat-10155	288	50	𝑉1(∞	𝑉1(∞	NOUN
easat-10155	288	51	)	)	PUNCT
easat-10155	288	52	=	=	SYM
easat-10155	289	1	0	0	X
easat-10155	289	2	.	.	PUNCT
easat-10155	290	1	(	(	PUNCT
easat-10155	290	2	a15	a15	NOUN
easat-10155	290	3	)	)	PUNCT
easat-10155	290	4	taking	take	VERB
easat-10155	290	5	laplace	laplace	NOUN
easat-10155	290	6	transformation	transformation	NOUN
easat-10155	290	7	with	with	ADP
easat-10155	290	8	respect	respect	NOUN
easat-10155	290	9	to	to	ADP
easat-10155	290	10	𝑇	𝑇	PROPN
easat-10155	290	11	to	to	ADP
easat-10155	290	12	the	the	DET
easat-10155	290	13	eqs	eqs	PROPN
easat-10155	290	14	.	.	PUNCT
easat-10155	291	1	(	(	PUNCT
easat-10155	291	2	a1	a1	NOUN
easat-10155	291	3	)	)	PUNCT
easat-10155	291	4	and	and	CCONJ
easat-10155	291	5	(	(	PUNCT
easat-10155	291	6	a8	a8	PROPN
easat-10155	291	7	)	)	PUNCT
easat-10155	291	8	we	we	PRON
easat-10155	291	9	get	get	VERB
easat-10155	291	10	1483	1483	NUM
easat-10155	291	11	edelweiss	edelweiss	PROPN
easat-10155	291	12	applied	apply	VERB
easat-10155	291	13	science	science	NOUN
easat-10155	291	14	and	and	CCONJ
easat-10155	291	15	technology	technology	NOUN
easat-10155	291	16	issn	issn	PROPN
easat-10155	291	17	:	:	PUNCT
easat-10155	291	18	2576	2576	NUM
easat-10155	291	19	-	-	SYM
easat-10155	291	20	8484	8484	NUM
easat-10155	291	21	vol	vol	NOUN
easat-10155	291	22	.	.	PROPN
easat-10155	292	1	9	9	NUM
easat-10155	292	2	,	,	PUNCT
easat-10155	292	3	no	no	INTJ
easat-10155	292	4	.	.	NOUN
easat-10155	292	5	9	9	NUM
easat-10155	292	6	:	:	SYM
easat-10155	292	7	1471	1471	NUM
easat-10155	292	8	-	-	SYM
easat-10155	292	9	1483	1483	NUM
easat-10155	292	10	,	,	PUNCT
easat-10155	292	11	2025	2025	NUM
easat-10155	292	12	doi	doi	NOUN
easat-10155	292	13	:	:	PUNCT
easat-10155	292	14	10.55214/2576	10.55214/2576	NUM
easat-10155	292	15	-	-	SYM
easat-10155	292	16	8484.v9i9.10155	8484.v9i9.10155	NUM
easat-10155	292	17	©	©	ADP
easat-10155	292	18	2025	2025	NUM
easat-10155	292	19	by	by	ADP
easat-10155	292	20	the	the	DET
easat-10155	292	21	authors	author	NOUN
easat-10155	292	22	;	;	PUNCT
easat-10155	292	23	licensee	licensee	PROPN
easat-10155	292	24	learning	learning	NOUN
easat-10155	292	25	gate	gate	PROPN
easat-10155	292	26	𝜕2	𝜕2	NOUN
easat-10155	292	27	�	�	NOUN
easat-10155	292	28	̅	̅	NOUN
easat-10155	292	29	�	�	NOUN
easat-10155	292	30	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	292	31	+	+	CCONJ
easat-10155	292	32	2	2	NUM
easat-10155	292	33	𝜌	𝜌	ADP
easat-10155	292	34	𝜕	𝜕	NOUN
easat-10155	292	35	�	�	NOUN
easat-10155	292	36	̅	̅	NOUN
easat-10155	292	37	�	�	NOUN
easat-10155	292	38	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	292	39	−	−	PROPN
easat-10155	292	40	𝑠	𝑠	NUM
easat-10155	292	41	�	�	PROPN
easat-10155	292	42	̅	̅	NOUN
easat-10155	292	43	�	�	NOUN
easat-10155	292	44	+	+	CCONJ
easat-10155	292	45	1	1	NUM
easat-10155	292	46	=	=	SYM
easat-10155	292	47	0	0	NUM
easat-10155	292	48	,	,	PUNCT
easat-10155	292	49	(	(	PUNCT
easat-10155	292	50	a16	a16	PROPN
easat-10155	292	51	)	)	PUNCT
easat-10155	292	52	𝜕2𝑉0̅̅	𝜕2𝑉0̅̅	NOUN
easat-10155	292	53	̅	̅	NOUN
easat-10155	292	54	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	292	55	+	+	CCONJ
easat-10155	292	56	2	2	NUM
easat-10155	292	57	𝜌	𝜌	DET
easat-10155	292	58	𝜕𝑉0̅̅	𝜕𝑉0̅̅	ADJ
easat-10155	292	59	̅	̅	NOUN
easat-10155	292	60	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	292	61	−	−	PROPN
easat-10155	292	62	𝑠𝑉0	𝑠𝑉0	PROPN
easat-10155	292	63	̅̅̅	̅̅̅	PROPN
easat-10155	292	64	=	=	SYM
easat-10155	292	65	0	0	PROPN
easat-10155	292	66	,	,	PUNCT
easat-10155	292	67	(	(	PUNCT
easat-10155	292	68	a17	a17	NOUN
easat-10155	292	69	)	)	PUNCT
easat-10155	292	70	where	where	SCONJ
easat-10155	292	71	s	s	NOUN
easat-10155	292	72	is	be	AUX
easat-10155	292	73	the	the	DET
easat-10155	292	74	laplace	laplace	NOUN
easat-10155	292	75	variable	variable	NOUN
easat-10155	292	76	and	and	CCONJ
easat-10155	292	77	the	the	DET
easat-10155	292	78	over	over	ADP
easat-10155	292	79	bar	bar	NOUN
easat-10155	292	80	signifies	signify	VERB
easat-10155	292	81	a	a	DET
easat-10155	292	82	quantity	quantity	NOUN
easat-10155	292	83	that	that	PRON
easat-10155	292	84	has	have	AUX
easat-10155	292	85	undergone	undergo	VERB
easat-10155	292	86	laplace	laplace	NOUN
easat-10155	292	87	transformation	transformation	NOUN
easat-10155	292	88	.	.	PUNCT
easat-10155	293	1	on	on	ADP
easat-10155	293	2	solving	solve	VERB
easat-10155	293	3	eqs	eqs	PROPN
easat-10155	293	4	.	.	PUNCT
easat-10155	294	1	(	(	PUNCT
easat-10155	294	2	a16	a16	PROPN
easat-10155	294	3	)	)	PUNCT
easat-10155	294	4	and	and	CCONJ
easat-10155	294	5	(	(	PUNCT
easat-10155	294	6	a17	a17	PROPN
easat-10155	294	7	)	)	PUNCT
easat-10155	294	8	with	with	ADP
easat-10155	294	9	the	the	DET
easat-10155	294	10	initial	initial	ADJ
easat-10155	294	11	and	and	CCONJ
easat-10155	294	12	boundary	boundary	ADJ
easat-10155	294	13	conditions	condition	NOUN
easat-10155	294	14	,	,	PUNCT
easat-10155	294	15	we	we	PRON
easat-10155	294	16	get	get	VERB
easat-10155	294	17	the	the	DET
easat-10155	294	18	following	follow	VERB
easat-10155	294	19	results	result	NOUN
easat-10155	294	20	.	.	PUNCT
easat-10155	295	1	�	�	NOUN
easat-10155	295	2	̅	̅	NOUN
easat-10155	295	3	�	�	NOUN
easat-10155	295	4	(𝜌	(𝜌	NOUN
easat-10155	295	5	,	,	PUNCT
easat-10155	295	6	𝑠	𝑠	NOUN
easat-10155	295	7	)	)	PUNCT
easat-10155	295	8	=	=	SYM
easat-10155	296	1	1	1	NUM
easat-10155	296	2	𝑠	𝑠	X
easat-10155	296	3	−	−	PROPN
easat-10155	297	1	𝑒−𝜌√𝑠	𝑒−𝜌√𝑠	PROPN
easat-10155	297	2	2𝜌𝑠𝑒−√𝑠	2𝜌𝑠𝑒−√𝑠	NUM
easat-10155	297	3	,	,	PUNCT
easat-10155	297	4	(	(	PUNCT
easat-10155	297	5	a18	a18	PROPN
easat-10155	297	6	)	)	PUNCT
easat-10155	297	7	𝑉0	𝑉0	NOUN
easat-10155	298	1	̅̅̅(𝜌	̅̅̅(𝜌	PROPN
easat-10155	298	2	,	,	PUNCT
easat-10155	298	3	𝑠	𝑠	PROPN
easat-10155	298	4	)	)	PUNCT
easat-10155	298	5	=	=	SYM
easat-10155	298	6	𝑒−𝜌√𝑠	𝑒−𝜌√𝑠	PROPN
easat-10155	298	7	2𝜌𝑠𝑒−√𝑠	2𝜌𝑠𝑒−√𝑠	NUM
easat-10155	298	8	.	.	PUNCT
easat-10155	299	1	(	(	PUNCT
easat-10155	299	2	a19	a19	PROPN
easat-10155	299	3	)	)	PUNCT
easat-10155	299	4	using	use	VERB
easat-10155	299	5	inverse	inverse	ADJ
easat-10155	299	6	laplace	laplace	NOUN
easat-10155	299	7	transform	transform	NOUN
easat-10155	299	8	,	,	PUNCT
easat-10155	299	9	the	the	DET
easat-10155	299	10	final	final	ADJ
easat-10155	299	11	results	result	NOUN
easat-10155	299	12	can	can	AUX
easat-10155	299	13	be	be	AUX
easat-10155	299	14	obtained	obtain	VERB
easat-10155	299	15	as	as	ADP
easat-10155	299	16	follows	follow	VERB
easat-10155	299	17	:	:	PUNCT
easat-10155	299	18	𝑈(𝜌	𝑈(𝜌	NOUN
easat-10155	299	19	,	,	PUNCT
easat-10155	299	20	𝑇	𝑇	PROPN
easat-10155	299	21	)	)	PUNCT
easat-10155	299	22	=	=	SYM
easat-10155	299	23	1	1	NUM
easat-10155	299	24	−	−	NUM
easat-10155	299	25	1	1	NUM
easat-10155	299	26	2𝜌	2𝜌	NOUN
easat-10155	299	27	(	(	PUNCT
easat-10155	299	28	1	1	NUM
easat-10155	299	29	−	−	PROPN
easat-10155	299	30	𝑒𝑟𝑓	𝑒𝑟𝑓	NOUN
easat-10155	299	31	(	(	PUNCT
easat-10155	299	32	𝜌−1	𝜌−1	PROPN
easat-10155	299	33	2√𝑇	2√𝑇	PROPN
easat-10155	299	34	)	)	PUNCT
easat-10155	299	35	)	)	PUNCT
easat-10155	299	36	,	,	PUNCT
easat-10155	299	37	(	(	PUNCT
easat-10155	299	38	a20	a20	NOUN
easat-10155	299	39	)	)	PUNCT
easat-10155	299	40	𝑉0(𝜌	𝑉0(𝜌	PROPN
easat-10155	299	41	,	,	PUNCT
easat-10155	299	42	𝑇	𝑇	PROPN
easat-10155	299	43	)	)	PUNCT
easat-10155	299	44	=	=	SYM
easat-10155	299	45	1	1	NUM
easat-10155	299	46	2𝜌	2𝜌	NOUN
easat-10155	299	47	(	(	PUNCT
easat-10155	299	48	1	1	NUM
easat-10155	299	49	−	−	PROPN
easat-10155	299	50	𝑒𝑟𝑓	𝑒𝑟𝑓	NOUN
easat-10155	299	51	(	(	PUNCT
easat-10155	299	52	𝜌−1	𝜌−1	PROPN
easat-10155	299	53	2√𝑇	2√𝑇	PROPN
easat-10155	299	54	)	)	PUNCT
easat-10155	299	55	)	)	PUNCT
easat-10155	299	56	.	.	PUNCT
easat-10155	300	1	(	(	PUNCT
easat-10155	300	2	a21	a21	NOUN
easat-10155	300	3	)	)	PUNCT
easat-10155	300	4	taking	take	VERB
easat-10155	300	5	laplace	laplace	NOUN
easat-10155	300	6	transformation	transformation	NOUN
easat-10155	300	7	with	with	ADP
easat-10155	300	8	respect	respect	NOUN
easat-10155	300	9	to	to	ADP
easat-10155	300	10	𝑇	𝑇	PROPN
easat-10155	300	11	to	to	ADP
easat-10155	300	12	the	the	DET
easat-10155	300	13	eqs	eqs	PROPN
easat-10155	300	14	.	.	PUNCT
easat-10155	301	1	(	(	PUNCT
easat-10155	301	2	a9	a9	PROPN
easat-10155	301	3	)	)	PUNCT
easat-10155	301	4	we	we	PRON
easat-10155	301	5	get	get	VERB
easat-10155	301	6	𝜕2𝑉1̅̅	𝜕2𝑉1̅̅	NOUN
easat-10155	301	7	̅	̅	NOUN
easat-10155	301	8	𝜕𝜌2	𝜕𝜌2	NOUN
easat-10155	301	9	+	+	CCONJ
easat-10155	301	10	2	2	NUM
easat-10155	301	11	𝜌	𝜌	ADP
easat-10155	301	12	𝜕𝑉1̅̅	𝜕𝑉1̅̅	PROPN
easat-10155	301	13	̅	̅	NOUN
easat-10155	301	14	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	301	15	−	−	ADP
easat-10155	301	16	𝑠𝑉1̅	𝑠𝑉1̅	NOUN
easat-10155	301	17	−	−	NOUN
easat-10155	301	18	𝑚	𝑚	ADP
easat-10155	301	19	4𝜌2	4𝜌2	NUM
easat-10155	301	20	(	(	PUNCT
easat-10155	301	21	1	1	NUM
easat-10155	301	22	𝑠	𝑠	PRON
easat-10155	301	23	−	−	PROPN
easat-10155	301	24	2(𝜌−1	2(𝜌−1	NUM
easat-10155	301	25	)	)	PUNCT
easat-10155	301	26	√𝑠	√𝑠	PUNCT
easat-10155	301	27	)	)	PUNCT
easat-10155	302	1	=	=	PUNCT
easat-10155	302	2	0	0	X
easat-10155	302	3	.	.	PUNCT
easat-10155	302	4	(	(	PUNCT
easat-10155	302	5	a22	a22	PROPN
easat-10155	302	6	)	)	PUNCT
easat-10155	302	7	on	on	ADP
easat-10155	302	8	solving	solve	VERB
easat-10155	302	9	eqs	eqs	PROPN
easat-10155	302	10	.	.	PUNCT
easat-10155	303	1	(	(	PUNCT
easat-10155	303	2	a22	a22	PROPN
easat-10155	303	3	)	)	PUNCT
easat-10155	303	4	using	use	VERB
easat-10155	303	5	reduction	reduction	NOUN
easat-10155	303	6	of	of	ADP
easat-10155	303	7	order	order	NOUN
easat-10155	303	8	,	,	PUNCT
easat-10155	303	9	we	we	PRON
easat-10155	303	10	get	get	VERB
easat-10155	303	11	the	the	DET
easat-10155	303	12	following	follow	VERB
easat-10155	303	13	results	result	NOUN
easat-10155	303	14	.	.	PUNCT
easat-10155	304	1	𝑉1̅(𝜌	𝑉1̅(𝜌	PROPN
easat-10155	304	2	,	,	PUNCT
easat-10155	304	3	𝑆	𝑆	PROPN
easat-10155	304	4	)	)	PUNCT
easat-10155	304	5	=	=	SYM
easat-10155	304	6	𝑚𝑒√𝑠(1−𝜌	𝑚𝑒√𝑠(1−𝜌	X
easat-10155	304	7	)	)	PUNCT
easat-10155	304	8	4𝑠2𝜌	4𝑠2𝜌	NOUN
easat-10155	305	1	+	+	CCONJ
easat-10155	306	1	𝑚	𝑚	X
easat-10155	306	2	2𝜌𝑠	2𝜌𝑠	ADJ
easat-10155	306	3	3	3	NUM
easat-10155	306	4	2	2	NUM
easat-10155	306	5	−	−	ADP
easat-10155	306	6	𝑚(1	𝑚(1	PROPN
easat-10155	306	7	+	+	NOUN
easat-10155	306	8	2√𝑠	2√𝑠	NUM
easat-10155	306	9	)	)	PUNCT
easat-10155	306	10	4𝑠2	4𝑠2	NUM
easat-10155	306	11	(	(	PUNCT
easat-10155	306	12	𝜌−2	𝜌−2	PROPN
easat-10155	306	13	+	+	CCONJ
easat-10155	306	14	2𝜌−4	2𝜌−4	NUM
easat-10155	306	15	𝑠	𝑠	NOUN
easat-10155	306	16	+	+	NOUN
easat-10155	306	17	24𝜌−6	24𝜌−6	NOUN
easat-10155	306	18	𝑠2	𝑠2	NOUN
easat-10155	306	19	+	+	SYM
easat-10155	306	20	⋯	⋯	PROPN
easat-10155	306	21	)	)	PUNCT
easat-10155	307	1	≈	≈	NOUN
easat-10155	307	2	𝑚𝑒√𝑠(1−𝜌	𝑚𝑒√𝑠(1−𝜌	NOUN
easat-10155	307	3	)	)	PUNCT
easat-10155	307	4	4𝑠2𝜌	4𝑠2𝜌	NOUN
easat-10155	308	1	+	+	CCONJ
easat-10155	309	1	𝑚	𝑚	X
easat-10155	309	2	2𝜌𝑠	2𝜌𝑠	ADJ
easat-10155	309	3	3	3	NUM
easat-10155	309	4	2	2	NUM
easat-10155	309	5	−	−	ADP
easat-10155	309	6	𝑚(1	𝑚(1	PROPN
easat-10155	309	7	+	+	NOUN
easat-10155	309	8	2√𝑠	2√𝑠	NUM
easat-10155	309	9	)	)	PUNCT
easat-10155	309	10	4𝑠2	4𝑠2	NUM
easat-10155	309	11	(	(	PUNCT
easat-10155	309	12	𝜌−2	𝜌−2	PROPN
easat-10155	309	13	)	)	PUNCT
easat-10155	309	14	.	.	PUNCT
easat-10155	310	1	(	(	PUNCT
easat-10155	310	2	a23	a23	PROPN
easat-10155	310	3	)	)	PUNCT
easat-10155	310	4	using	use	VERB
easat-10155	310	5	inverse	inverse	ADJ
easat-10155	310	6	laplace	laplace	NOUN
easat-10155	310	7	transform	transform	NOUN
easat-10155	310	8	,	,	PUNCT
easat-10155	310	9	the	the	DET
easat-10155	310	10	final	final	ADJ
easat-10155	310	11	results	result	NOUN
easat-10155	310	12	can	can	AUX
easat-10155	310	13	be	be	AUX
easat-10155	310	14	obtained	obtain	VERB
easat-10155	310	15	as	as	ADP
easat-10155	310	16	follows	follow	VERB
easat-10155	310	17	:	:	PUNCT
easat-10155	310	18	𝑉1(𝜌	𝑉1(𝜌	PROPN
easat-10155	310	19	,	,	PUNCT
easat-10155	310	20	𝑇	𝑇	PROPN
easat-10155	310	21	)	)	PUNCT
easat-10155	310	22	=	=	PUNCT
easat-10155	311	1	𝑚	𝑚	X
easat-10155	311	2	4𝜌	4𝜌	NUM
easat-10155	311	3	[	[	X
easat-10155	311	4	(	(	PUNCT
easat-10155	311	5	𝑇	𝑇	PROPN
easat-10155	311	6	+	+	CCONJ
easat-10155	311	7	(	(	PUNCT
easat-10155	311	8	1−𝜌)2	1−𝜌)2	NOUN
easat-10155	311	9	2	2	NUM
easat-10155	311	10	)	)	PUNCT
easat-10155	311	11	(	(	PUNCT
easat-10155	311	12	𝑒𝑟𝑓	𝑒𝑟𝑓	X
easat-10155	311	13	(	(	PUNCT
easat-10155	311	14	(	(	PUNCT
easat-10155	311	15	1−𝜌	1−𝜌	NUM
easat-10155	311	16	)	)	PUNCT
easat-10155	311	17	2√𝑇	2√𝑇	NUM
easat-10155	311	18	)	)	PUNCT
easat-10155	311	19	)	)	PUNCT
easat-10155	312	1	+	+	CCONJ
easat-10155	312	2	√𝑇(1−𝜌)𝑒	√𝑇(1−𝜌)𝑒	NUM
easat-10155	312	3	−(1−𝜌)2	−(1−𝜌)2	PROPN
easat-10155	312	4	4𝑇	4𝑇	NOUN
easat-10155	312	5	√𝜋	√𝜋	NOUN
easat-10155	313	1	+	+	CCONJ
easat-10155	314	1	(	(	PUNCT
easat-10155	314	2	1−𝜌)2	1−𝜌)2	NUM
easat-10155	314	3	2	2	NUM
easat-10155	314	4	+	+	CCONJ
easat-10155	314	5	𝑇	𝑇	PROPN
easat-10155	314	6	]	]	X
easat-10155	314	7	+	+	CCONJ
easat-10155	314	8	𝑚√𝑇	𝑚√𝑇	PROPN
easat-10155	314	9	𝜌√𝜋	𝜌√𝜋	NOUN
easat-10155	314	10	−	−	PROPN
easat-10155	314	11	𝑚	𝑚	PROPN
easat-10155	314	12	(	(	PUNCT
easat-10155	314	13	1	1	NUM
easat-10155	314	14	𝜌2	𝜌2	ADJ
easat-10155	314	15	(	(	PUNCT
easat-10155	314	16	𝑇	𝑇	PROPN
easat-10155	314	17	4	4	NUM
easat-10155	314	18	+	+	NOUN
easat-10155	314	19	√𝑇	√𝑇	X
easat-10155	314	20	√𝜋	√𝜋	X
easat-10155	314	21	)	)	PUNCT
easat-10155	314	22	)	)	PUNCT
easat-10155	314	23	.	.	PUNCT
easat-10155	315	1	(	(	PUNCT
easat-10155	315	2	a24	a24	PROPN
easat-10155	315	3	)	)	PUNCT
easat-10155	315	4	according	accord	VERB
easat-10155	315	5	to	to	ADP
easat-10155	315	6	the	the	DET
easat-10155	315	7	analysis	analysis	NOUN
easat-10155	315	8	using	use	VERB
easat-10155	315	9	hpm	hpm	NOUN
easat-10155	315	10	,	,	PUNCT
easat-10155	315	11	we	we	PRON
easat-10155	315	12	find	find	VERB
easat-10155	315	13	that	that	PRON
easat-10155	315	14	.	.	PUNCT
easat-10155	316	1	u(𝜌,t	u(𝜌,t	X
easat-10155	316	2	)	)	PUNCT
easat-10155	317	1	=	=	SYM
easat-10155	317	2	1	1	NUM
easat-10155	317	3	−	−	NUM
easat-10155	317	4	1	1	NUM
easat-10155	317	5	2𝜌	2𝜌	NOUN
easat-10155	317	6	(	(	PUNCT
easat-10155	317	7	1	1	NUM
easat-10155	317	8	−	−	PROPN
easat-10155	317	9	𝑒𝑟𝑓	𝑒𝑟𝑓	NOUN
easat-10155	317	10	(	(	PUNCT
easat-10155	317	11	𝜌−1	𝜌−1	PROPN
easat-10155	317	12	2√𝑇	2√𝑇	PROPN
easat-10155	317	13	)	)	PUNCT
easat-10155	317	14	)	)	PUNCT
easat-10155	317	15	,	,	PUNCT
easat-10155	317	16	(	(	PUNCT
easat-10155	317	17	a25	a25	PROPN
easat-10155	317	18	)	)	PUNCT
easat-10155	317	19	𝑉(𝜌	𝑉(𝜌	PROPN
easat-10155	317	20	,	,	PUNCT
easat-10155	317	21	𝑇	𝑇	PROPN
easat-10155	317	22	)	)	PUNCT
easat-10155	318	1	=	=	PROPN
easat-10155	318	2	lim	lim	PROPN
easat-10155	318	3	𝑝→1	𝑝→1	PROPN
easat-10155	318	4	𝑉(𝜌	𝑉(𝜌	PROPN
easat-10155	318	5	)	)	PUNCT
easat-10155	318	6	≈	≈	NOUN
easat-10155	318	7	𝑉0	𝑉0	NOUN
easat-10155	319	1	+	+	CCONJ
easat-10155	319	2	𝑉1	𝑉1	PROPN
easat-10155	319	3	≈	≈	PROPN
easat-10155	319	4	1	1	NUM
easat-10155	319	5	2𝜌	2𝜌	NOUN
easat-10155	319	6	(	(	PUNCT
easat-10155	319	7	1	1	NUM
easat-10155	319	8	−	−	PROPN
easat-10155	319	9	𝑒𝑟𝑓	𝑒𝑟𝑓	NOUN
easat-10155	319	10	(	(	PUNCT
easat-10155	319	11	𝜌−1	𝜌−1	PROPN
easat-10155	319	12	2√𝑇	2√𝑇	NUM
easat-10155	319	13	)	)	PUNCT
easat-10155	319	14	)	)	PUNCT
easat-10155	320	1	+	+	CCONJ
easat-10155	320	2	𝑚	𝑚	X
easat-10155	320	3	4𝜌	4𝜌	NUM
easat-10155	320	4	[	[	X
easat-10155	320	5	(	(	PUNCT
easat-10155	320	6	𝑇	𝑇	PROPN
easat-10155	320	7	+	+	CCONJ
easat-10155	320	8	(	(	PUNCT
easat-10155	320	9	1−𝜌)2	1−𝜌)2	NOUN
easat-10155	320	10	2	2	NUM
easat-10155	320	11	)	)	PUNCT
easat-10155	320	12	(	(	PUNCT
easat-10155	320	13	𝑒𝑟𝑓	𝑒𝑟𝑓	X
easat-10155	320	14	(	(	PUNCT
easat-10155	320	15	(	(	PUNCT
easat-10155	320	16	1−𝜌	1−𝜌	NUM
easat-10155	320	17	)	)	PUNCT
easat-10155	320	18	2√𝑇	2√𝑇	NUM
easat-10155	320	19	)	)	PUNCT
easat-10155	320	20	)	)	PUNCT
easat-10155	321	1	+	+	CCONJ
easat-10155	321	2	√𝑇(1−𝜌)𝑒	√𝑇(1−𝜌)𝑒	NUM
easat-10155	321	3	−(1−𝜌)2	−(1−𝜌)2	PROPN
easat-10155	321	4	4𝑇	4𝑇	NOUN
easat-10155	321	5	√𝜋	√𝜋	NOUN
easat-10155	322	1	+	+	CCONJ
easat-10155	323	1	(	(	PUNCT
easat-10155	323	2	1−𝜌)2	1−𝜌)2	NUM
easat-10155	323	3	2	2	NUM
easat-10155	323	4	+	+	CCONJ
easat-10155	323	5	𝑇	𝑇	PROPN
easat-10155	323	6	]	]	X
easat-10155	323	7	+	+	CCONJ
easat-10155	323	8	𝑚√𝑇	𝑚√𝑇	PROPN
easat-10155	323	9	𝜌√𝜋	𝜌√𝜋	NOUN
easat-10155	323	10	−	−	PUNCT
easat-10155	323	11	𝑚	𝑚	X
easat-10155	323	12	(	(	PUNCT
easat-10155	323	13	1	1	NUM
easat-10155	323	14	𝜌2	𝜌2	ADJ
easat-10155	323	15	(	(	PUNCT
easat-10155	323	16	𝑇	𝑇	PROPN
easat-10155	323	17	4	4	NUM
easat-10155	323	18	+	+	NOUN
easat-10155	323	19	√𝑇	√𝑇	NOUN
easat-10155	323	20	√𝜋	√𝜋	NUM
easat-10155	323	21	)	)	PUNCT
easat-10155	323	22	.	.	PUNCT
easat-10155	324	1	(	(	PUNCT
easat-10155	324	2	a26	a26	PROPN
easat-10155	324	3	)	)	PUNCT
easat-10155	324	4	the	the	DET
easat-10155	324	5	dimensionless	dimensionless	NOUN
easat-10155	324	6	current	current	NOUN
easat-10155	324	7	is	be	AUX
easat-10155	324	8	i=	i=	PROPN
easat-10155	324	9	[	[	PUNCT
easat-10155	324	10	𝜕𝑉(𝜌,𝑇	𝜕𝑉(𝜌,𝑇	NOUN
easat-10155	324	11	)	)	PUNCT
easat-10155	324	12	𝜕𝜌	𝜕𝜌	NOUN
easat-10155	324	13	]	]	PUNCT
easat-10155	324	14	𝜌=1	𝜌=1	PUNCT
easat-10155	324	15	=	=	PUNCT
easat-10155	325	1	𝑚𝑇	𝑚𝑇	VERB
easat-10155	325	2	4	4	NUM
easat-10155	325	3	+	+	NUM
easat-10155	325	4	𝑚𝑇−1	𝑚𝑇−1	NUM
easat-10155	325	5	2√𝑇√𝜋	2√𝑇√𝜋	NUM
easat-10155	325	6	−	−	NUM
easat-10155	325	7	1	1	NUM
easat-10155	325	8	2	2	NUM
easat-10155	325	9	.	.	PUNCT
easat-10155	326	1	(	(	PUNCT
easat-10155	326	2	a27	a27	PROPN
easat-10155	326	3	)	)	PUNCT