id sid tid token lemma pos cana-4929 1 1 communications communication NOUN cana-4929 1 2 on on ADP cana-4929 1 3 applied apply VERB cana-4929 1 4 nonlinear nonlinear ADJ cana-4929 1 5 analysis analysis NOUN cana-4929 1 6 issn issn NOUN cana-4929 1 7 : : PUNCT cana-4929 1 8 1074 1074 NUM cana-4929 1 9 - - PUNCT cana-4929 1 10 133x 133x NUM cana-4929 1 11 vol vol VERB cana-4929 1 12 32 32 NUM cana-4929 1 13 no no NOUN cana-4929 1 14 . . PUNCT cana-4929 2 1 10s 10 NOUN cana-4929 2 2 ( ( PUNCT cana-4929 2 3 2025 2025 NUM cana-4929 2 4 ) ) PUNCT cana-4929 2 5 960 960 NUM cana-4929 2 6 https://internationalpubls.com https://internationalpubls.com X cana-4929 2 7 generalised generalise VERB cana-4929 2 8 four four NUM cana-4929 2 9 step step NOUN cana-4929 2 10 adams adams PROPN cana-4929 2 11 - - PUNCT cana-4929 2 12 moulton moulton PROPN cana-4929 2 13 second second ADJ cana-4929 2 14 derivative derivative ADJ cana-4929 2 15 method method NOUN cana-4929 2 16 for for ADP cana-4929 2 17 the the DET cana-4929 2 18 solution solution NOUN cana-4929 2 19 stiff stiff ADJ cana-4929 2 20 ordinary ordinary ADJ cana-4929 2 21 differential differential ADJ cana-4929 2 22 equations equation NOUN cana-4929 2 23 buba buba PROPN cana-4929 2 24 m. m. PROPN cana-4929 2 25 t t PROPN cana-4929 2 26 hambagda hambagda PROPN cana-4929 2 27 , , PUNCT cana-4929 2 28 kaze kaze NOUN cana-4929 2 29 atsi atsi PROPN cana-4929 2 30 , , PUNCT cana-4929 2 31 babatunde babatunde PROPN cana-4929 2 32 aina aina PROPN cana-4929 2 33 mathematics mathematics PROPN cana-4929 2 34 department department PROPN cana-4929 2 35 , , PUNCT cana-4929 2 36 federal federal ADJ cana-4929 2 37 university university PROPN cana-4929 2 38 gashua gashua PROPN cana-4929 2 39 , , PUNCT cana-4929 2 40 yobe yobe PROPN cana-4929 2 41 state state PROPN cana-4929 2 42 , , PUNCT cana-4929 2 43 nigeria nigeria PROPN cana-4929 2 44 bmthambagda@gmail.com bmthambagda@gmail.com X cana-4929 2 45 . . PUNCT cana-4929 3 1 kzeeat@yahoo.com kzeeat@yahoo.com X cana-4929 3 2 article article NOUN cana-4929 3 3 history history NOUN cana-4929 3 4 : : PUNCT cana-4929 3 5 received receive VERB cana-4929 3 6 : : PUNCT cana-4929 3 7 12 12 NUM cana-4929 3 8 - - SYM cana-4929 3 9 01 01 NUM cana-4929 3 10 - - PUNCT cana-4929 3 11 2025 2025 NUM cana-4929 3 12 revised revise VERB cana-4929 3 13 : : PUNCT cana-4929 3 14 15 15 NUM cana-4929 3 15 - - NUM cana-4929 3 16 02 02 NUM cana-4929 3 17 - - PUNCT cana-4929 3 18 2025 2025 NUM cana-4929 3 19 accepted accept VERB cana-4929 3 20 : : PUNCT cana-4929 3 21 01 01 NUM cana-4929 3 22 - - SYM cana-4929 3 23 03 03 NUM cana-4929 3 24 - - PUNCT cana-4929 3 25 2025 2025 NUM cana-4929 3 26 abstract abstract NOUN cana-4929 3 27 : : PUNCT cana-4929 3 28 a a DET cana-4929 3 29 uniform uniform ADJ cana-4929 3 30 order order NOUN cana-4929 3 31 ten ten NUM cana-4929 3 32 second second ADJ cana-4929 3 33 derivative derivative ADJ cana-4929 3 34 block block NOUN cana-4929 3 35 method method NOUN cana-4929 3 36 is be AUX cana-4929 3 37 presented present VERB cana-4929 3 38 for for ADP cana-4929 3 39 solving solve VERB cana-4929 3 40 stiff stiff ADJ cana-4929 3 41 ordinary ordinary ADJ cana-4929 3 42 differential differential ADJ cana-4929 3 43 equations equation NOUN cana-4929 3 44 . . PUNCT cana-4929 4 1 the the DET cana-4929 4 2 proposed propose VERB cana-4929 4 3 method method NOUN cana-4929 4 4 was be AUX cana-4929 4 5 derived derive VERB cana-4929 4 6 by by ADP cana-4929 4 7 using use VERB cana-4929 4 8 the the DET cana-4929 4 9 approach approach NOUN cana-4929 4 10 of of ADP cana-4929 4 11 collocation collocation NOUN cana-4929 4 12 and and CCONJ cana-4929 4 13 interpolation interpolation NOUN cana-4929 4 14 of of ADP cana-4929 4 15 four four NUM cana-4929 4 16 step step NOUN cana-4929 4 17 adams adams PROPN cana-4929 4 18 - - PUNCT cana-4929 4 19 moulton moulton PROPN cana-4929 4 20 method method NOUN cana-4929 4 21 . . PUNCT cana-4929 5 1 four four NUM cana-4929 5 2 individual individual ADJ cana-4929 5 3 schemes scheme NOUN cana-4929 5 4 that that PRON cana-4929 5 5 made make VERB cana-4929 5 6 up up ADP cana-4929 5 7 the the DET cana-4929 5 8 block block NOUN cana-4929 5 9 method method NOUN cana-4929 5 10 are be AUX cana-4929 5 11 obtained obtain VERB cana-4929 5 12 at at ADP cana-4929 5 13 step step NOUN cana-4929 5 14 number number NOUN cana-4929 5 15 , , PUNCT cana-4929 5 16 k k PROPN cana-4929 6 1 = = PUNCT cana-4929 6 2 4 4 X cana-4929 6 3 . . PUNCT cana-4929 7 1 the the DET cana-4929 7 2 stability stability NOUN cana-4929 7 3 properties property NOUN cana-4929 7 4 of of ADP cana-4929 7 5 the the DET cana-4929 7 6 new new ADJ cana-4929 7 7 method method NOUN cana-4929 7 8 have have AUX cana-4929 7 9 been be AUX cana-4929 7 10 ascertained ascertain VERB cana-4929 7 11 and and CCONJ cana-4929 7 12 it it PRON cana-4929 7 13 has have AUX cana-4929 7 14 shown show VERB cana-4929 7 15 to to PART cana-4929 7 16 be be AUX cana-4929 7 17 consistent consistent ADJ cana-4929 7 18 , , PUNCT cana-4929 7 19 zero zero NUM cana-4929 7 20 – – PUNCT cana-4929 7 21 stable stable ADJ cana-4929 7 22 and and CCONJ cana-4929 7 23 a a DET cana-4929 7 24 – – PUNCT cana-4929 7 25 stable stable ADJ cana-4929 7 26 . . PUNCT cana-4929 8 1 the the DET cana-4929 8 2 solutions solution NOUN cana-4929 8 3 of of ADP cana-4929 8 4 two two NUM cana-4929 8 5 problems problem NOUN cana-4929 8 6 have have AUX cana-4929 8 7 been be AUX cana-4929 8 8 computed compute VERB cana-4929 8 9 and and CCONJ cana-4929 8 10 compared compare VERB cana-4929 8 11 with with ADP cana-4929 8 12 the the DET cana-4929 8 13 corresponding corresponding ADJ cana-4929 8 14 exact exact NOUN cana-4929 8 15 and and CCONJ cana-4929 8 16 other other ADJ cana-4929 8 17 existing exist VERB cana-4929 8 18 solutions solution NOUN cana-4929 8 19 . . PUNCT cana-4929 9 1 solutions solution NOUN cana-4929 9 2 are be AUX cana-4929 9 3 presented present VERB cana-4929 9 4 on on ADP cana-4929 9 5 graphs graph NOUN cana-4929 9 6 and and CCONJ cana-4929 9 7 the the DET cana-4929 9 8 associated associated ADJ cana-4929 9 9 absolute absolute ADJ cana-4929 9 10 errors error NOUN cana-4929 9 11 are be AUX cana-4929 9 12 compared compare VERB cana-4929 9 13 with with ADP cana-4929 9 14 some some DET cana-4929 9 15 existing exist VERB cana-4929 9 16 solution solution NOUN cana-4929 9 17 - - PUNCT cana-4929 9 18 errors error NOUN cana-4929 9 19 in in ADP cana-4929 9 20 tables table NOUN cana-4929 9 21 . . PUNCT cana-4929 10 1 keywords keyword NOUN cana-4929 10 2 : : PUNCT cana-4929 10 3 second second ADJ cana-4929 10 4 derivative derivative NOUN cana-4929 10 5 , , PUNCT cana-4929 10 6 adams adams PROPN cana-4929 10 7 - - PUNCT cana-4929 10 8 moulton moulton PROPN cana-4929 10 9 method method NOUN cana-4929 10 10 , , PUNCT cana-4929 10 11 collocation collocation NOUN cana-4929 10 12 and and CCONJ cana-4929 10 13 interpolation interpolation NOUN cana-4929 10 14 , , PUNCT cana-4929 10 15 block block NOUN cana-4929 10 16 methods method NOUN cana-4929 10 17 , , PUNCT cana-4929 10 18 stiff stiff ADJ cana-4929 10 19 ordinary ordinary ADJ cana-4929 10 20 differential differential ADJ cana-4929 10 21 equations equation NOUN cana-4929 10 22 , , PUNCT cana-4929 10 23 stability stability NOUN cana-4929 10 24 properties property NOUN cana-4929 10 25 , , PUNCT cana-4929 10 26 absolute absolute ADJ cana-4929 10 27 error error NOUN cana-4929 10 28 . . PUNCT cana-4929 11 1 1.0 1.0 NUM cana-4929 11 2 introduction introduction NOUN cana-4929 11 3 differential differential NOUN cana-4929 11 4 equations equation NOUN cana-4929 11 5 are be AUX cana-4929 11 6 mathematical mathematical ADJ cana-4929 11 7 models model NOUN cana-4929 11 8 of of ADP cana-4929 11 9 problems problem NOUN cana-4929 11 10 emanating emanate VERB cana-4929 11 11 from from ADP cana-4929 11 12 almost almost ADV cana-4929 11 13 every every PRON cana-4929 11 14 field field NOUN cana-4929 11 15 of of ADP cana-4929 11 16 study study NOUN cana-4929 11 17 , , PUNCT cana-4929 11 18 where where SCONJ cana-4929 11 19 measurement measurement NOUN cana-4929 11 20 can can AUX cana-4929 11 21 be be AUX cana-4929 11 22 taken take VERB cana-4929 11 23 . . PUNCT cana-4929 12 1 they they PRON cana-4929 12 2 are be AUX cana-4929 12 3 of of ADP cana-4929 12 4 different different ADJ cana-4929 12 5 types type NOUN cana-4929 12 6 and and CCONJ cana-4929 12 7 exhibit exhibit VERB cana-4929 12 8 different different ADJ cana-4929 12 9 phenomenon phenomenon NOUN cana-4929 12 10 . . PUNCT cana-4929 13 1 stiff stiff ADJ cana-4929 13 2 ordinary ordinary ADJ cana-4929 13 3 differential differential ADJ cana-4929 13 4 equations equation NOUN cana-4929 13 5 are be AUX cana-4929 13 6 special special ADJ cana-4929 13 7 class class NOUN cana-4929 13 8 of of ADP cana-4929 13 9 problems problem NOUN cana-4929 13 10 of of ADP cana-4929 13 11 differential differential ADJ cana-4929 13 12 equation equation NOUN cana-4929 13 13 which which PRON cana-4929 13 14 are be AUX cana-4929 13 15 mostly mostly ADV cana-4929 13 16 found find VERB cana-4929 13 17 in in ADP cana-4929 13 18 engineering engineering NOUN cana-4929 13 19 sciences science NOUN cana-4929 13 20 and and CCONJ cana-4929 13 21 other other ADJ cana-4929 13 22 areas area NOUN cana-4929 13 23 of of ADP cana-4929 13 24 studies study NOUN cana-4929 13 25 , , PUNCT cana-4929 13 26 [ [ X cana-4929 13 27 1 1 NUM cana-4929 13 28 ] ] PUNCT cana-4929 13 29 . . PUNCT cana-4929 14 1 so so ADV cana-4929 14 2 many many ADJ cana-4929 14 3 researchers researcher NOUN cana-4929 14 4 are be AUX cana-4929 14 5 involved involve VERB cana-4929 14 6 in in ADP cana-4929 14 7 finding find VERB cana-4929 14 8 solution solution NOUN cana-4929 14 9 to to ADP cana-4929 14 10 the the DET cana-4929 14 11 initial initial ADJ cana-4929 14 12 valued value VERB cana-4929 14 13 problems problem NOUN cana-4929 14 14 of of ADP cana-4929 14 15 stiff stiff ADJ cana-4929 14 16 ordinary ordinary ADJ cana-4929 14 17 differential differential ADJ cana-4929 14 18 equations equation NOUN cana-4929 14 19 of of ADP cana-4929 14 20 the the DET cana-4929 14 21 form form NOUN cana-4929 14 22 : : PUNCT cana-4929 14 23 𝑦′ 𝑦′ X cana-4929 14 24 = = SYM cana-4929 14 25 𝑓(π‘₯ 𝑓(π‘₯ NOUN cana-4929 14 26 , , PUNCT cana-4929 14 27 𝑦 𝑦 NOUN cana-4929 14 28 ) ) PUNCT cana-4929 14 29 , , PUNCT cana-4929 14 30 𝑦(π‘₯ 𝑦(π‘₯ PROPN cana-4929 14 31 0 0 NUM cana-4929 14 32 ) ) PUNCT cana-4929 14 33 = = SYM cana-4929 14 34 𝑦0 𝑦0 NOUN cana-4929 14 35 , , PUNCT cana-4929 14 36 π‘₯ π‘₯ PRON cana-4929 14 37 ∈ ∈ PROPN cana-4929 15 1 [ [ X cana-4929 15 2 π‘Ž π‘Ž X cana-4929 15 3 , , PUNCT cana-4929 15 4 𝑏 𝑏 NOUN cana-4929 15 5 ] ] X cana-4929 15 6 , , PUNCT cana-4929 15 7 𝑦 𝑦 NOUN cana-4929 15 8 ∈ ∈ NOUN cana-4929 15 9 ℝ ℝ PROPN cana-4929 15 10 ( ( PUNCT cana-4929 15 11 1.1 1.1 NUM cana-4929 15 12 ) ) PUNCT cana-4929 15 13 as as SCONJ cana-4929 15 14 can can AUX cana-4929 15 15 be be AUX cana-4929 15 16 seen see VERB cana-4929 15 17 in in ADP cana-4929 15 18 [ [ X cana-4929 15 19 1 1 NUM cana-4929 15 20 ] ] PUNCT cana-4929 15 21 and and CCONJ cana-4929 15 22 [ [ X cana-4929 15 23 2 2 NUM cana-4929 15 24 ] ] PUNCT cana-4929 15 25 . . PUNCT cana-4929 16 1 as as SCONJ cana-4929 16 2 it it PRON cana-4929 16 3 has have AUX cana-4929 16 4 been be AUX cana-4929 16 5 stated state VERB cana-4929 16 6 in in ADP cana-4929 16 7 [ [ X cana-4929 16 8 2 2 NUM cana-4929 16 9 ] ] PUNCT cana-4929 16 10 , , PUNCT cana-4929 16 11 about about ADP cana-4929 16 12 the the DET cana-4929 16 13 availability availability NOUN cana-4929 16 14 of of ADP cana-4929 16 15 the the DET cana-4929 16 16 analytical analytical ADJ cana-4929 16 17 solution solution NOUN cana-4929 16 18 of of ADP cana-4929 16 19 ( ( PUNCT cana-4929 16 20 1 1 NUM cana-4929 16 21 ) ) PUNCT cana-4929 16 22 , , PUNCT cana-4929 16 23 there there PRON cana-4929 16 24 is be VERB cana-4929 16 25 a a DET cana-4929 16 26 need need NOUN cana-4929 16 27 for for ADP cana-4929 16 28 a a DET cana-4929 16 29 suitable suitable ADJ cana-4929 16 30 numerical numerical ADJ cana-4929 16 31 method method NOUN cana-4929 16 32 to to PART cana-4929 16 33 solve solve VERB cana-4929 16 34 ( ( PUNCT cana-4929 16 35 1.1 1.1 NUM cana-4929 16 36 ) ) PUNCT cana-4929 16 37 . . PUNCT cana-4929 17 1 dauda dauda PROPN cana-4929 17 2 et et PROPN cana-4929 17 3 . . PUNCT cana-4929 18 1 al al PROPN cana-4929 18 2 . . PROPN cana-4929 18 3 , , PUNCT cana-4929 19 1 [ [ X cana-4929 19 2 3 3 NUM cana-4929 19 3 ] ] PUNCT cana-4929 19 4 , , PUNCT cana-4929 19 5 presented present VERB cana-4929 19 6 a a DET cana-4929 19 7 second second ADJ cana-4929 19 8 derivative derivative ADJ cana-4929 19 9 block block NOUN cana-4929 19 10 hybrid hybrid NOUN cana-4929 19 11 method method NOUN cana-4929 19 12 suitable suitable ADJ cana-4929 19 13 for for ADP cana-4929 19 14 the the DET cana-4929 19 15 continuous continuous ADJ cana-4929 19 16 integration integration NOUN cana-4929 19 17 of of ADP cana-4929 19 18 stiff stiff ADJ cana-4929 19 19 ordinary ordinary ADJ cana-4929 19 20 differential differential ADJ cana-4929 19 21 equations equation NOUN cana-4929 19 22 and and CCONJ cana-4929 19 23 was be AUX cana-4929 19 24 stated state VERB cana-4929 19 25 to to PART cana-4929 19 26 compete compete VERB cana-4929 19 27 favourably favourably ADV cana-4929 19 28 with with ADP cana-4929 19 29 some some DET cana-4929 19 30 strong strong ADJ cana-4929 19 31 stability stability NOUN cana-4929 19 32 stiff stiff ADJ cana-4929 19 33 integrators integrator NOUN cana-4929 19 34 . . PUNCT cana-4929 20 1 in in ADP cana-4929 20 2 [ [ X cana-4929 20 3 4 4 NUM cana-4929 20 4 ] ] PUNCT cana-4929 20 5 , , PUNCT cana-4929 20 6 rufai rufai PROPN cana-4929 20 7 et et PROPN cana-4929 20 8 . . PUNCT cana-4929 21 1 al al PROPN cana-4929 21 2 . . PROPN cana-4929 21 3 , , PUNCT cana-4929 21 4 derive derive VERB cana-4929 21 5 a a DET cana-4929 21 6 new new ADJ cana-4929 21 7 continuous continuous ADJ cana-4929 21 8 hybrid hybrid ADJ cana-4929 21 9 block block NOUN cana-4929 21 10 method method NOUN cana-4929 21 11 using use VERB cana-4929 21 12 chebyshev chebyshev NOUN cana-4929 21 13 polynomials polynomial NOUN cana-4929 21 14 of of ADP cana-4929 21 15 the the DET cana-4929 21 16 first first ADJ cana-4929 21 17 kind kind NOUN cana-4929 21 18 as as ADP cana-4929 21 19 basis basis NOUN cana-4929 21 20 function function NOUN cana-4929 21 21 and and CCONJ cana-4929 21 22 the the DET cana-4929 21 23 new new ADJ cana-4929 21 24 proposed propose VERB cana-4929 21 25 method method NOUN cana-4929 21 26 for for ADP cana-4929 21 27 the the DET cana-4929 21 28 solution solution NOUN cana-4929 21 29 of of ADP cana-4929 21 30 initial initial ADJ cana-4929 21 31 value value NOUN cana-4929 21 32 problems problem NOUN cana-4929 21 33 of of ADP cana-4929 21 34 systems system NOUN cana-4929 21 35 of of ADP cana-4929 21 36 stiff stiff ADJ cana-4929 21 37 ordinary ordinary ADJ cana-4929 21 38 differential differential ADJ cana-4929 21 39 equations equation NOUN cana-4929 21 40 . . PUNCT cana-4929 22 1 it it PRON cana-4929 22 2 can can AUX cana-4929 22 3 also also ADV cana-4929 22 4 be be AUX cana-4929 22 5 seen see VERB cana-4929 22 6 in in ADP cana-4929 22 7 skwame skwame PROPN cana-4929 22 8 et et PROPN cana-4929 22 9 . . PUNCT cana-4929 23 1 al al PROPN cana-4929 23 2 . . PROPN cana-4929 23 3 , , PUNCT cana-4929 24 1 [ [ X cana-4929 24 2 5 5 NUM cana-4929 24 3 ] ] PUNCT cana-4929 24 4 , , PUNCT cana-4929 24 5 kumleng kumleng PROPN cana-4929 24 6 et et PROPN cana-4929 24 7 . . PUNCT cana-4929 25 1 al al PROPN cana-4929 25 2 . . PROPN cana-4929 25 3 , , PUNCT cana-4929 26 1 [ [ X cana-4929 26 2 6 6 NUM cana-4929 26 3 ] ] PUNCT cana-4929 26 4 , , PUNCT cana-4929 26 5 ajie ajie PROPN cana-4929 26 6 et et PROPN cana-4929 26 7 . . PUNCT cana-4929 27 1 al al PROPN cana-4929 27 2 . . PROPN cana-4929 27 3 , , PUNCT cana-4929 28 1 [ [ X cana-4929 28 2 7 7 X cana-4929 28 3 ] ] PUNCT cana-4929 28 4 and and CCONJ cana-4929 28 5 kumleng kumleng PROPN cana-4929 28 6 et et PROPN cana-4929 28 7 . . PUNCT cana-4929 29 1 al al PROPN cana-4929 29 2 . . PROPN cana-4929 29 3 , , PUNCT cana-4929 30 1 [ [ X cana-4929 30 2 8 8 NUM cana-4929 30 3 ] ] PUNCT cana-4929 30 4 , , PUNCT cana-4929 30 5 how how SCONJ cana-4929 30 6 new new ADJ cana-4929 30 7 methods method NOUN cana-4929 30 8 are be AUX cana-4929 30 9 presented present VERB cana-4929 30 10 for for ADP cana-4929 30 11 the the DET cana-4929 30 12 solution solution NOUN cana-4929 30 13 of of ADP cana-4929 30 14 problems problem NOUN cana-4929 30 15 of of ADP cana-4929 30 16 the the DET cana-4929 30 17 form form NOUN cana-4929 30 18 ( ( PUNCT cana-4929 30 19 1.1 1.1 NUM cana-4929 30 20 ) ) PUNCT cana-4929 30 21 . . PUNCT cana-4929 31 1 interpolation interpolation NOUN cana-4929 31 2 and and CCONJ cana-4929 31 3 collocation collocation NOUN cana-4929 31 4 approach approach NOUN cana-4929 31 5 has have AUX cana-4929 31 6 been be AUX cana-4929 31 7 adopted adopt VERB cana-4929 31 8 in in ADP cana-4929 31 9 many many ADJ cana-4929 31 10 literatures literature NOUN cana-4929 31 11 for for ADP cana-4929 31 12 the the DET cana-4929 31 13 construction construction NOUN cana-4929 31 14 of of ADP cana-4929 31 15 block block NOUN cana-4929 31 16 method method NOUN cana-4929 31 17 of of ADP cana-4929 31 18 solving solve VERB cana-4929 31 19 differential differential ADJ cana-4929 31 20 equations equation NOUN cana-4929 31 21 . . PUNCT cana-4929 32 1 kumleng kumleng PROPN cana-4929 32 2 et et PROPN cana-4929 32 3 . . PUNCT cana-4929 33 1 al al PROPN cana-4929 33 2 . . PROPN cana-4929 33 3 , , PUNCT cana-4929 34 1 [ [ X cana-4929 34 2 8 8 NUM cana-4929 34 3 ] ] PUNCT cana-4929 34 4 , , PUNCT cana-4929 34 5 adopted adopt VERB cana-4929 34 6 the the DET cana-4929 34 7 approach approach NOUN cana-4929 34 8 and and CCONJ cana-4929 34 9 methods method NOUN cana-4929 34 10 communications communication NOUN cana-4929 34 11 on on ADP cana-4929 34 12 applied apply VERB cana-4929 34 13 nonlinear nonlinear ADJ cana-4929 34 14 analysis analysis NOUN cana-4929 34 15 issn issn NOUN cana-4929 34 16 : : PUNCT cana-4929 34 17 1074 1074 NUM cana-4929 34 18 - - PUNCT cana-4929 34 19 133x 133x NUM cana-4929 34 20 vol vol VERB cana-4929 34 21 32 32 NUM cana-4929 34 22 no no NOUN cana-4929 34 23 . . PUNCT cana-4929 35 1 10s 10 NOUN cana-4929 35 2 ( ( PUNCT cana-4929 35 3 2025 2025 NUM cana-4929 35 4 ) ) PUNCT cana-4929 35 5 961 961 NUM cana-4929 35 6 https://internationalpubls.com https://internationalpubls.com X cana-4929 35 7 of of ADP cana-4929 35 8 uniform uniform ADJ cana-4929 35 9 orders order NOUN cana-4929 35 10 10 10 NUM cana-4929 35 11 and and CCONJ cana-4929 35 12 11 11 NUM cana-4929 35 13 were be AUX cana-4929 35 14 constructed construct VERB cana-4929 35 15 . . PUNCT cana-4929 36 1 in in ADP cana-4929 36 2 a a DET cana-4929 36 3 similar similar ADJ cana-4929 36 4 approach approach NOUN cana-4929 36 5 , , PUNCT cana-4929 36 6 [ [ X cana-4929 36 7 1 1 NUM cana-4929 36 8 ] ] PUNCT cana-4929 36 9 generated generate VERB cana-4929 36 10 a a DET cana-4929 36 11 block block NOUN cana-4929 36 12 method method NOUN cana-4929 36 13 of of ADP cana-4929 36 14 order order NOUN cana-4929 36 15 7 7 X cana-4929 36 16 . . PUNCT cana-4929 37 1 it it PRON cana-4929 37 2 can can AUX cana-4929 37 3 also also ADV cana-4929 37 4 be be AUX cana-4929 37 5 seen see VERB cana-4929 37 6 in in ADP cana-4929 37 7 [ [ X cana-4929 37 8 9 9 NUM cana-4929 37 9 ] ] PUNCT cana-4929 37 10 , , PUNCT cana-4929 37 11 where where SCONJ cana-4929 37 12 a a DET cana-4929 37 13 new new ADJ cana-4929 37 14 block block NOUN cana-4929 37 15 method method NOUN cana-4929 37 16 of of ADP cana-4929 37 17 order order NOUN cana-4929 37 18 4 4 NUM cana-4929 37 19 has have AUX cana-4929 37 20 been be AUX cana-4929 37 21 formed form VERB cana-4929 37 22 . . PUNCT cana-4929 38 1 other other ADJ cana-4929 38 2 methods method NOUN cana-4929 38 3 in in ADP cana-4929 38 4 which which PRON cana-4929 38 5 this this DET cana-4929 38 6 approach approach NOUN cana-4929 38 7 is be AUX cana-4929 38 8 adopted adopt VERB cana-4929 38 9 are be AUX cana-4929 38 10 [ [ X cana-4929 38 11 10 10 NUM cana-4929 38 12 ] ] PUNCT cana-4929 38 13 , , PUNCT cana-4929 38 14 [ [ X cana-4929 38 15 11 11 NUM cana-4929 38 16 ] ] PUNCT cana-4929 38 17 , , PUNCT cana-4929 38 18 [ [ X cana-4929 38 19 12 12 NUM cana-4929 38 20 ] ] PUNCT cana-4929 38 21 . . PUNCT cana-4929 39 1 kayode kayode PROPN cana-4929 39 2 et et PROPN cana-4929 39 3 at at ADP cana-4929 39 4 . . PROPN cana-4929 39 5 , , PUNCT cana-4929 40 1 [ [ X cana-4929 40 2 14 14 NUM cana-4929 40 3 ] ] PUNCT cana-4929 40 4 , , PUNCT cana-4929 40 5 presened presene VERB cana-4929 40 6 a a DET cana-4929 40 7 continuous continuous ADJ cana-4929 40 8 two two NUM cana-4929 40 9 step step NOUN cana-4929 40 10 trigonometrically trigonometrically ADV cana-4929 40 11 - - PUNCT cana-4929 40 12 fitted fit VERB cana-4929 40 13 second second ADJ cana-4929 40 14 order order NOUN cana-4929 40 15 method method NOUN cana-4929 40 16 for for ADP cana-4929 40 17 the the DET cana-4929 40 18 solution solution NOUN cana-4929 40 19 of of ADP cana-4929 40 20 linear linear PROPN cana-4929 40 21 and and CCONJ cana-4929 40 22 nonlinear nonlinear ADJ cana-4929 40 23 initial initial ADJ cana-4929 40 24 value value NOUN cana-4929 40 25 oscillatory oscillatory ADJ cana-4929 40 26 problems problem NOUN cana-4929 40 27 . . PUNCT cana-4929 41 1 the the DET cana-4929 41 2 coefficients coefficient NOUN cana-4929 41 3 of of ADP cana-4929 41 4 the the DET cana-4929 41 5 developed develop VERB cana-4929 41 6 approaches approach NOUN cana-4929 41 7 are be AUX cana-4929 41 8 determined determine VERB cana-4929 41 9 by by ADP cana-4929 41 10 the the DET cana-4929 41 11 approximate approximate ADJ cana-4929 41 12 solution solution NOUN cana-4929 41 13 ’s ’s PART cana-4929 41 14 frequency frequency NOUN cana-4929 41 15 and and CCONJ cana-4929 41 16 step step NOUN cana-4929 41 17 size size NOUN cana-4929 41 18 , , PUNCT cana-4929 41 19 a a DET cana-4929 41 20 discrete discrete ADJ cana-4929 41 21 trigonometrically trigonometrically ADV cana-4929 41 22 -fitted -fitte VERB cana-4929 41 23 second second ADJ cana-4929 41 24 order order NOUN cana-4929 41 25 ordinary ordinary ADJ cana-4929 41 26 differential differential ADJ cana-4929 41 27 equation equation NOUN cana-4929 41 28 was be AUX cana-4929 41 29 recovered recover VERB cana-4929 41 30 as as ADP cana-4929 41 31 a a DET cana-4929 41 32 by by NOUN cana-4929 41 33 - - PUNCT cana-4929 41 34 product product NOUN cana-4929 41 35 . . PUNCT cana-4929 42 1 , , PUNCT cana-4929 42 2 the the DET cana-4929 42 3 stability stability NOUN cana-4929 42 4 and and CCONJ cana-4929 42 5 other other ADJ cana-4929 42 6 properties property NOUN cana-4929 42 7 qualities quality NOUN cana-4929 42 8 are be AUX cana-4929 42 9 described describe VERB cana-4929 42 10 to to PART cana-4929 42 11 demonstrate demonstrate VERB cana-4929 42 12 the the DET cana-4929 42 13 method method NOUN cana-4929 42 14 ’s ’s PART cana-4929 42 15 usefulness usefulness NOUN cana-4929 42 16 and and CCONJ cana-4929 42 17 efficiency efficiency NOUN cana-4929 42 18 . . PUNCT cana-4929 43 1 and and CCONJ cana-4929 43 2 real real ADJ cana-4929 43 3 - - PUNCT cana-4929 43 4 world world NOUN cana-4929 43 5 oscillatory oscillatory ADJ cana-4929 43 6 problems problem NOUN cana-4929 43 7 of of ADP cana-4929 43 8 ordinary ordinary ADJ cana-4929 43 9 differential differential ADJ cana-4929 43 10 equations equation NOUN cana-4929 43 11 implemented implement VERB cana-4929 43 12 to to ADP cana-4929 43 13 the the DET cana-4929 43 14 suitability suitability NOUN cana-4929 43 15 of of ADP cana-4929 43 16 the the DET cana-4929 43 17 new new ADJ cana-4929 43 18 method method NOUN cana-4929 43 19 . . PUNCT cana-4929 44 1 we we PRON cana-4929 44 2 present present VERB cana-4929 44 3 a a DET cana-4929 44 4 second second ADJ cana-4929 44 5 derivative derivative ADJ cana-4929 44 6 block block NOUN cana-4929 44 7 method method NOUN cana-4929 44 8 for for ADP cana-4929 44 9 the the DET cana-4929 44 10 solution solution NOUN cana-4929 44 11 ( ( PUNCT cana-4929 44 12 1.1 1.1 NUM cana-4929 44 13 ) ) PUNCT cana-4929 44 14 . . PUNCT cana-4929 45 1 the the DET cana-4929 45 2 new new ADJ cana-4929 45 3 block block NOUN cana-4929 45 4 method method NOUN cana-4929 45 5 is be AUX cana-4929 45 6 derived derive VERB cana-4929 45 7 from from ADP cana-4929 45 8 a a DET cana-4929 45 9 four four NUM cana-4929 45 10 step step NOUN cana-4929 45 11 adams adam NOUN cana-4929 45 12 - - PUNCT cana-4929 45 13 moulton moulton PROPN cana-4929 45 14 method method NOUN cana-4929 45 15 . . PUNCT cana-4929 46 1 2.0 2.0 NUM cana-4929 46 2 derivation derivation NOUN cana-4929 46 3 of of ADP cana-4929 46 4 the the DET cana-4929 46 5 method method NOUN cana-4929 46 6 harnessing harness VERB cana-4929 46 7 the the DET cana-4929 46 8 concept concept NOUN cana-4929 46 9 of of ADP cana-4929 46 10 interpolation interpolation NOUN cana-4929 46 11 and and CCONJ cana-4929 46 12 collocation collocation NOUN cana-4929 46 13 technique technique NOUN cana-4929 46 14 , , PUNCT cana-4929 46 15 we we PRON cana-4929 46 16 consider consider VERB cana-4929 46 17 the the DET cana-4929 46 18 following follow VERB cana-4929 46 19 method method NOUN cana-4929 46 20 for for ADP cana-4929 46 21 our our PRON cana-4929 46 22 new new ADJ cana-4929 46 23 method method NOUN cana-4929 46 24 : : PUNCT cana-4929 46 25 οΏ½ οΏ½ NOUN cana-4929 46 26 Μ… Μ… NOUN cana-4929 46 27 οΏ½ οΏ½ NOUN cana-4929 46 28 (π‘₯ (π‘₯ NOUN cana-4929 46 29 ) ) PUNCT cana-4929 46 30 = = SYM cana-4929 46 31 𝛼3(π‘₯)𝑦𝑛+3 𝛼3(π‘₯)𝑦𝑛+3 NOUN cana-4929 46 32 + + CCONJ cana-4929 46 33 β„Žβˆ‘π›½π‘—(π‘₯)𝑓𝑛+𝑗 β„Žβˆ‘π›½π‘—(π‘₯)𝑓𝑛+𝑗 NOUN cana-4929 46 34 4 4 NUM cana-4929 46 35 𝑗=0 𝑗=0 PUNCT cana-4929 46 36 ( ( PUNCT cana-4929 46 37 π‘₯ π‘₯ NOUN cana-4929 46 38 ) ) PUNCT cana-4929 46 39 ) ) PUNCT cana-4929 47 1 + + CCONJ cana-4929 47 2 β„Ž2βˆ‘π›Ύπ‘—(π‘₯)𝑔𝑛+𝑗 β„Ž2βˆ‘π›Ύπ‘—(π‘₯)𝑔𝑛+𝑗 NOUN cana-4929 47 3 4 4 NUM cana-4929 47 4 𝑗=0 𝑗=0 PUNCT cana-4929 47 5 ( ( PUNCT cana-4929 47 6 𝟐. 𝟐. NOUN cana-4929 47 7 𝟏 𝟏 X cana-4929 47 8 ) ) PUNCT cana-4929 47 9 where where SCONJ cana-4929 47 10 ( ( PUNCT cana-4929 47 11 2.1 2.1 NUM cana-4929 47 12 ) ) PUNCT cana-4929 47 13 is be AUX cana-4929 47 14 the the DET cana-4929 47 15 approximation approximation NOUN cana-4929 47 16 of of ADP cana-4929 47 17 a a DET cana-4929 47 18 continuously continuously ADV cana-4929 47 19 differentiable differentiable ADJ cana-4929 47 20 solution solution NOUN cana-4929 47 21 of of ADP cana-4929 47 22 ( ( PUNCT cana-4929 47 23 1.1 1.1 NUM cana-4929 47 24 ) ) PUNCT cana-4929 47 25 𝛼3(π‘₯ 𝛼3(π‘₯ PROPN cana-4929 47 26 ) ) PUNCT cana-4929 47 27 , , PUNCT cana-4929 47 28 𝛽𝑗(π‘₯ 𝛽𝑗(π‘₯ X cana-4929 47 29 ) ) PUNCT cana-4929 47 30 and and CCONJ cana-4929 47 31 𝛾𝑗(π‘₯ 𝛾𝑗(π‘₯ PUNCT cana-4929 47 32 ) ) PUNCT cana-4929 47 33 are be AUX cana-4929 47 34 the the DET cana-4929 47 35 continuous continuous ADJ cana-4929 47 36 coefficients coefficient NOUN cana-4929 47 37 β„Ž β„Ž PROPN cana-4929 47 38 is be AUX cana-4929 47 39 the the DET cana-4929 47 40 step step NOUN cana-4929 47 41 size size NOUN cana-4929 47 42 of of ADP cana-4929 47 43 the the DET cana-4929 47 44 method method NOUN cana-4929 47 45 with with ADP cana-4929 47 46 a a DET cana-4929 47 47 step step NOUN cana-4929 47 48 number number NOUN cana-4929 47 49 , , PUNCT cana-4929 47 50 π‘˜ π‘˜ X cana-4929 47 51 = = SYM cana-4929 47 52 4 4 NUM cana-4929 47 53 𝑦𝑛+𝑗 𝑦𝑛+𝑗 NOUN cana-4929 47 54 is be AUX cana-4929 47 55 the the DET cana-4929 47 56 approximation approximation NOUN cana-4929 47 57 to to ADP cana-4929 47 58 the the DET cana-4929 47 59 theoretical theoretical ADJ cana-4929 47 60 solution solution NOUN cana-4929 47 61 of of ADP cana-4929 47 62 ( ( PUNCT cana-4929 47 63 1.1 1.1 NUM cana-4929 47 64 ) ) PUNCT cana-4929 47 65 at at ADP cana-4929 47 66 π‘₯𝑛+𝑗 π‘₯𝑛+𝑗 NOUN cana-4929 47 67 and and CCONJ cana-4929 47 68 , , PUNCT cana-4929 47 69 the the DET cana-4929 47 70 first first ADJ cana-4929 47 71 and and CCONJ cana-4929 47 72 second second ADJ cana-4929 47 73 derivative derivative NOUN cana-4929 47 74 of of ADP cana-4929 47 75 𝑦𝑛+𝑗 𝑦𝑛+𝑗 PROPN cana-4929 47 76 are be AUX cana-4929 47 77 𝑓𝑛+𝑗 𝑓𝑛+𝑗 PROPN cana-4929 47 78 ≑ ≑ PROPN cana-4929 47 79 𝑓(π‘₯𝑛+𝑗𝑦𝑛+𝑗 𝑓(π‘₯𝑛+𝑗𝑦𝑛+𝑗 NUM cana-4929 47 80 ) ) PUNCT cana-4929 47 81 and and CCONJ cana-4929 47 82 𝑔𝑛+𝑗 𝑔𝑛+𝑗 PROPN cana-4929 47 83 ≑ ≑ PROPN cana-4929 47 84 𝑔(π‘₯𝑛+𝑗 𝑔(π‘₯𝑛+𝑗 PROPN cana-4929 47 85 , , PUNCT cana-4929 47 86 𝑦𝑛+𝑗 𝑦𝑛+𝑗 PROPN cana-4929 47 87 , , PUNCT cana-4929 47 88 𝑓𝑛+𝑗 𝑓𝑛+𝑗 NOUN cana-4929 47 89 ) ) PUNCT cana-4929 47 90 , , PUNCT cana-4929 47 91 respectively respectively ADV cana-4929 47 92 . . PUNCT cana-4929 48 1 adopting adopt VERB cana-4929 48 2 the the DET cana-4929 48 3 technique technique NOUN cana-4929 48 4 in in ADP cana-4929 48 5 [ [ X cana-4929 48 6 8 8 NUM cana-4929 48 7 ] ] PUNCT cana-4929 48 8 and and CCONJ cana-4929 48 9 other other ADJ cana-4929 48 10 work work NOUN cana-4929 48 11 , , PUNCT cana-4929 48 12 we we PRON cana-4929 48 13 obtain obtain VERB cana-4929 48 14 a a DET cana-4929 48 15 matrix matrix NOUN cana-4929 48 16 defined define VERB cana-4929 48 17 by by ADP cana-4929 48 18 𝐷 𝐷 PROPN cana-4929 48 19 , , PUNCT cana-4929 48 20 as as SCONJ cana-4929 48 21 follows follow VERB cana-4929 48 22 : : PUNCT cana-4929 48 23 𝐷 𝐷 NOUN cana-4929 48 24 = = PUNCT cana-4929 48 25 ( ( PUNCT cana-4929 48 26 𝐷1 𝐷1 PROPN cana-4929 48 27 𝐷3 𝐷3 PROPN cana-4929 48 28 𝐷2 𝐷2 PROPN cana-4929 48 29 𝐷4 𝐷4 PROPN cana-4929 48 30 ) ) PUNCT cana-4929 49 1 where where SCONJ cana-4929 49 2 , , PUNCT cana-4929 49 3 𝐷1 𝐷1 PROPN cana-4929 49 4 = = PUNCT cana-4929 49 5 ( ( PUNCT cana-4929 49 6 1 1 NUM cana-4929 49 7 π‘₯𝑛 π‘₯𝑛 NOUN cana-4929 49 8 + + ADJ cana-4929 49 9 3β„Ž 3β„Ž NUM cana-4929 49 10 ( ( PUNCT cana-4929 49 11 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 49 12 + + ADJ cana-4929 49 13 3β„Ž 3β„Ž NUM cana-4929 49 14 ) ) PUNCT cana-4929 49 15 2 2 NUM cana-4929 49 16 ( ( PUNCT cana-4929 49 17 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 49 18 + + NUM cana-4929 49 19 3β„Ž 3β„Ž NUM cana-4929 49 20 ) ) PUNCT cana-4929 49 21 3 3 NUM cana-4929 49 22 ( ( PUNCT cana-4929 49 23 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 49 24 + + NUM cana-4929 49 25 3β„Ž 3β„Ž NUM cana-4929 49 26 ) ) PUNCT cana-4929 49 27 4 4 NUM cana-4929 49 28 ( ( PUNCT cana-4929 49 29 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 49 30 + + NUM cana-4929 49 31 3β„Ž 3β„Ž NOUN cana-4929 49 32 ) ) PUNCT cana-4929 49 33 5 5 NUM cana-4929 49 34 0 0 NUM cana-4929 49 35 1 1 NUM cana-4929 49 36 2π‘₯𝑛 2π‘₯𝑛 NOUN cana-4929 49 37 3π‘₯𝑛 3π‘₯𝑛 ADJ cana-4929 49 38 2 2 NUM cana-4929 49 39 4π‘₯𝑛 4π‘₯𝑛 ADJ cana-4929 49 40 3 3 NUM cana-4929 49 41 5π‘₯𝑛 5π‘₯𝑛 NOUN cana-4929 49 42 4 4 NUM cana-4929 49 43 0 0 NUM cana-4929 49 44 1 1 NUM cana-4929 49 45 2(π‘₯𝑛 2(π‘₯𝑛 NUM cana-4929 49 46 + + CCONJ cana-4929 49 47 β„Ž β„Ž NOUN cana-4929 49 48 ) ) PUNCT cana-4929 49 49 3(π‘₯𝑛 3(π‘₯𝑛 NUM cana-4929 49 50 + + CCONJ cana-4929 49 51 β„Ž β„Ž NOUN cana-4929 49 52 ) ) PUNCT cana-4929 49 53 2 2 NUM cana-4929 49 54 4(π‘₯𝑛 4(π‘₯𝑛 NOUN cana-4929 49 55 + + CCONJ cana-4929 49 56 β„Ž β„Ž NOUN cana-4929 49 57 ) ) PUNCT cana-4929 49 58 3 3 NUM cana-4929 49 59 5(π‘₯𝑛 5(π‘₯𝑛 NUM cana-4929 49 60 + + SYM cana-4929 49 61 β„Ž β„Ž NOUN cana-4929 49 62 ) ) PUNCT cana-4929 49 63 4 4 NUM cana-4929 49 64 0 0 NUM cana-4929 49 65 1 1 NUM cana-4929 49 66 2(π‘₯𝑛 2(π‘₯𝑛 NUM cana-4929 49 67 + + CCONJ cana-4929 49 68 2β„Ž 2β„Ž NUM cana-4929 49 69 ) ) PUNCT cana-4929 49 70 3(π‘₯𝑛 3(π‘₯𝑛 NUM cana-4929 49 71 + + NUM cana-4929 49 72 2β„Ž 2β„Ž NUM cana-4929 49 73 ) ) PUNCT cana-4929 49 74 2 2 NUM cana-4929 49 75 4(π‘₯𝑛 4(π‘₯𝑛 NOUN cana-4929 49 76 + + CCONJ cana-4929 49 77 2β„Ž 2β„Ž NUM cana-4929 49 78 ) ) PUNCT cana-4929 49 79 3 3 NUM cana-4929 49 80 5(π‘₯𝑛 5(π‘₯𝑛 NUM cana-4929 49 81 + + NUM cana-4929 49 82 2β„Ž 2β„Ž NUM cana-4929 49 83 ) ) PUNCT cana-4929 49 84 4 4 NUM cana-4929 49 85 0 0 NUM cana-4929 49 86 1 1 NUM cana-4929 49 87 2(π‘₯𝑛 2(π‘₯𝑛 NUM cana-4929 49 88 + + CCONJ cana-4929 49 89 3β„Ž 3β„Ž NUM cana-4929 49 90 ) ) PUNCT cana-4929 49 91 3(π‘₯𝑛 3(π‘₯𝑛 NUM cana-4929 49 92 + + SYM cana-4929 49 93 3β„Ž 3β„Ž NOUN cana-4929 49 94 ) ) PUNCT cana-4929 49 95 2 2 NUM cana-4929 49 96 4(π‘₯𝑛 4(π‘₯𝑛 NOUN cana-4929 49 97 + + CCONJ cana-4929 49 98 3β„Ž 3β„Ž NOUN cana-4929 49 99 ) ) PUNCT cana-4929 49 100 3 3 NUM cana-4929 49 101 5(π‘₯𝑛 5(π‘₯𝑛 NUM cana-4929 49 102 + + NUM cana-4929 49 103 3β„Ž 3β„Ž NOUN cana-4929 49 104 ) ) PUNCT cana-4929 49 105 4 4 NUM cana-4929 49 106 0 0 NUM cana-4929 49 107 1 1 NUM cana-4929 49 108 2(π‘₯𝑛 2(π‘₯𝑛 NUM cana-4929 49 109 + + CCONJ cana-4929 49 110 4β„Ž 4β„Ž NOUN cana-4929 49 111 ) ) PUNCT cana-4929 50 1 3(π‘₯𝑛 3(π‘₯𝑛 NUM cana-4929 50 2 + + SYM cana-4929 50 3 4β„Ž 4β„Ž NOUN cana-4929 50 4 ) ) PUNCT cana-4929 50 5 2 2 NUM cana-4929 50 6 4(π‘₯𝑛 4(π‘₯𝑛 NOUN cana-4929 50 7 + + CCONJ cana-4929 50 8 4β„Ž 4β„Ž NOUN cana-4929 50 9 ) ) PUNCT cana-4929 50 10 3 3 NUM cana-4929 51 1 5(π‘₯𝑛 5(π‘₯𝑛 NUM cana-4929 51 2 + + CCONJ cana-4929 51 3 4β„Ž 4β„Ž NOUN cana-4929 51 4 ) ) PUNCT cana-4929 51 5 4 4 NUM cana-4929 51 6 ) ) PUNCT cana-4929 51 7 𝐷2 𝐷2 NOUN cana-4929 51 8 = = SYM cana-4929 51 9 ( ( PUNCT cana-4929 51 10 0 0 NUM cana-4929 51 11 0 0 NUM cana-4929 51 12 2 2 NUM cana-4929 51 13 6π‘₯𝑛 6π‘₯𝑛 NOUN cana-4929 51 14 12π‘₯𝑛 12π‘₯𝑛 ADJ cana-4929 51 15 2 2 NUM cana-4929 51 16 20π‘₯𝑛 20π‘₯𝑛 NOUN cana-4929 51 17 3 3 NUM cana-4929 51 18 0 0 NUM cana-4929 51 19 0 0 NUM cana-4929 51 20 2 2 NUM cana-4929 51 21 6(π‘₯𝑛 6(π‘₯𝑛 NUM cana-4929 51 22 + + CCONJ cana-4929 51 23 β„Ž β„Ž NOUN cana-4929 51 24 ) ) PUNCT cana-4929 51 25 12(π‘₯𝑛 12(π‘₯𝑛 NUM cana-4929 52 1 + + CCONJ cana-4929 52 2 β„Ž β„Ž NOUN cana-4929 52 3 ) ) PUNCT cana-4929 52 4 2 2 NUM cana-4929 52 5 20(π‘₯𝑛 20(π‘₯𝑛 NUM cana-4929 52 6 + + SYM cana-4929 52 7 β„Ž β„Ž NOUN cana-4929 52 8 ) ) PUNCT cana-4929 52 9 3 3 NUM cana-4929 52 10 0 0 NUM cana-4929 52 11 0 0 NUM cana-4929 52 12 2 2 NUM cana-4929 52 13 6(π‘₯𝑛 6(π‘₯𝑛 NUM cana-4929 52 14 + + NUM cana-4929 52 15 2β„Ž 2β„Ž NUM cana-4929 52 16 ) ) PUNCT cana-4929 53 1 12(π‘₯𝑛 12(π‘₯𝑛 NUM cana-4929 54 1 + + NUM cana-4929 54 2 2β„Ž 2β„Ž NUM cana-4929 54 3 ) ) PUNCT cana-4929 54 4 2 2 NUM cana-4929 54 5 20(π‘₯𝑛 20(π‘₯𝑛 NUM cana-4929 54 6 + + CCONJ cana-4929 54 7 2β„Ž 2β„Ž NUM cana-4929 54 8 ) ) PUNCT cana-4929 54 9 3 3 NUM cana-4929 54 10 0 0 NUM cana-4929 54 11 0 0 NUM cana-4929 54 12 2 2 NUM cana-4929 54 13 6(π‘₯𝑛 6(π‘₯𝑛 NUM cana-4929 54 14 + + CCONJ cana-4929 54 15 3β„Ž 3β„Ž NOUN cana-4929 54 16 ) ) PUNCT cana-4929 55 1 12(π‘₯𝑛 12(π‘₯𝑛 NUM cana-4929 56 1 + + NUM cana-4929 56 2 3β„Ž 3β„Ž NOUN cana-4929 56 3 ) ) PUNCT cana-4929 56 4 2 2 NUM cana-4929 56 5 20(π‘₯𝑛 20(π‘₯𝑛 NUM cana-4929 56 6 + + ADJ cana-4929 56 7 3β„Ž 3β„Ž NOUN cana-4929 56 8 ) ) PUNCT cana-4929 56 9 3 3 NUM cana-4929 56 10 0 0 NUM cana-4929 56 11 0 0 NUM cana-4929 56 12 2 2 NUM cana-4929 56 13 6(π‘₯𝑛 6(π‘₯𝑛 NUM cana-4929 56 14 + + CCONJ cana-4929 56 15 4β„Ž 4β„Ž NOUN cana-4929 56 16 ) ) PUNCT cana-4929 57 1 12(π‘₯𝑛 12(π‘₯𝑛 NUM cana-4929 57 2 + + NUM cana-4929 57 3 4β„Ž 4β„Ž NOUN cana-4929 57 4 ) ) PUNCT cana-4929 57 5 2 2 NUM cana-4929 57 6 20(π‘₯𝑛 20(π‘₯𝑛 NUM cana-4929 57 7 + + CCONJ cana-4929 57 8 4β„Ž 4β„Ž NOUN cana-4929 57 9 ) ) PUNCT cana-4929 57 10 3 3 X cana-4929 57 11 ) ) PUNCT cana-4929 57 12 communications communication NOUN cana-4929 57 13 on on ADP cana-4929 57 14 applied apply VERB cana-4929 57 15 nonlinear nonlinear ADJ cana-4929 57 16 analysis analysis NOUN cana-4929 57 17 issn issn NOUN cana-4929 57 18 : : PUNCT cana-4929 57 19 1074 1074 NUM cana-4929 57 20 - - PUNCT cana-4929 57 21 133x 133x NUM cana-4929 57 22 vol vol VERB cana-4929 57 23 32 32 NUM cana-4929 57 24 no no NOUN cana-4929 57 25 . . PUNCT cana-4929 58 1 10s 10 NOUN cana-4929 58 2 ( ( PUNCT cana-4929 58 3 2025 2025 NUM cana-4929 58 4 ) ) PUNCT cana-4929 58 5 962 962 NUM cana-4929 59 1 https://internationalpubls.com https://internationalpubls.com X cana-4929 59 2 𝐷3 𝐷3 PROPN cana-4929 59 3 = = SYM cana-4929 59 4 ( ( PUNCT cana-4929 59 5 ( ( PUNCT cana-4929 59 6 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 59 7 + + NUM cana-4929 59 8 3β„Ž 3β„Ž NOUN cana-4929 59 9 ) ) PUNCT cana-4929 59 10 6 6 NUM cana-4929 59 11 ( ( PUNCT cana-4929 59 12 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 59 13 + + NUM cana-4929 59 14 3β„Ž 3β„Ž NOUN cana-4929 59 15 ) ) PUNCT cana-4929 59 16 7 7 NUM cana-4929 59 17 ( ( PUNCT cana-4929 59 18 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 59 19 + + NUM cana-4929 59 20 3β„Ž 3β„Ž NUM cana-4929 59 21 ) ) PUNCT cana-4929 59 22 8 8 NUM cana-4929 59 23 ( ( PUNCT cana-4929 59 24 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 59 25 + + NUM cana-4929 59 26 3β„Ž 3β„Ž NUM cana-4929 59 27 ) ) PUNCT cana-4929 59 28 9 9 NUM cana-4929 59 29 ( ( PUNCT cana-4929 59 30 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 59 31 + + NUM cana-4929 59 32 3β„Ž 3β„Ž NUM cana-4929 59 33 ) ) PUNCT cana-4929 59 34 10 10 NUM cana-4929 59 35 6π‘₯𝑛 6π‘₯𝑛 NOUN cana-4929 59 36 5 5 NUM cana-4929 59 37 7π‘₯𝑛 7π‘₯𝑛 NOUN cana-4929 59 38 6 6 NUM cana-4929 59 39 8π‘₯𝑛 8π‘₯𝑛 NOUN cana-4929 59 40 7 7 NUM cana-4929 59 41 9π‘₯𝑛 9π‘₯𝑛 NOUN cana-4929 59 42 8 8 NUM cana-4929 59 43 10π‘₯𝑛 10π‘₯𝑛 NOUN cana-4929 59 44 9 9 NUM cana-4929 59 45 6(π‘₯𝑛 6(π‘₯𝑛 NUM cana-4929 59 46 + + CCONJ cana-4929 59 47 β„Ž β„Ž NOUN cana-4929 59 48 ) ) PUNCT cana-4929 59 49 5 5 NUM cana-4929 59 50 7(π‘₯𝑛 7(π‘₯𝑛 NUM cana-4929 59 51 + + NUM cana-4929 59 52 β„Ž β„Ž NOUN cana-4929 59 53 ) ) PUNCT cana-4929 59 54 6 6 NUM cana-4929 59 55 8(π‘₯𝑛 8(π‘₯𝑛 NUM cana-4929 59 56 + + CCONJ cana-4929 59 57 β„Ž β„Ž NOUN cana-4929 59 58 ) ) PUNCT cana-4929 59 59 7 7 NUM cana-4929 59 60 9(π‘₯𝑛 9(π‘₯𝑛 NOUN cana-4929 59 61 + + CCONJ cana-4929 59 62 β„Ž β„Ž NOUN cana-4929 59 63 ) ) PUNCT cana-4929 59 64 8 8 NUM cana-4929 59 65 10(π‘₯𝑛 10(π‘₯𝑛 NUM cana-4929 59 66 + + CCONJ cana-4929 59 67 β„Ž β„Ž NOUN cana-4929 59 68 ) ) PUNCT cana-4929 59 69 9 9 NUM cana-4929 59 70 6(π‘₯𝑛 6(π‘₯𝑛 NUM cana-4929 59 71 + + NUM cana-4929 59 72 2β„Ž 2β„Ž NUM cana-4929 59 73 ) ) PUNCT cana-4929 59 74 5 5 NUM cana-4929 59 75 7(π‘₯𝑛 7(π‘₯𝑛 NUM cana-4929 59 76 + + NUM cana-4929 59 77 2β„Ž 2β„Ž NUM cana-4929 59 78 ) ) PUNCT cana-4929 59 79 6 6 NUM cana-4929 59 80 8(π‘₯𝑛 8(π‘₯𝑛 NUM cana-4929 59 81 + + CCONJ cana-4929 59 82 2β„Ž 2β„Ž NUM cana-4929 59 83 ) ) PUNCT cana-4929 59 84 7 7 NUM cana-4929 59 85 9(π‘₯𝑛 9(π‘₯𝑛 NOUN cana-4929 59 86 + + CCONJ cana-4929 59 87 2β„Ž 2β„Ž NUM cana-4929 59 88 ) ) PUNCT cana-4929 59 89 8 8 NUM cana-4929 59 90 10(π‘₯𝑛 10(π‘₯𝑛 NUM cana-4929 59 91 + + CCONJ cana-4929 59 92 2β„Ž 2β„Ž NUM cana-4929 59 93 ) ) PUNCT cana-4929 59 94 9 9 NUM cana-4929 59 95 6(π‘₯𝑛 6(π‘₯𝑛 NUM cana-4929 59 96 + + CCONJ cana-4929 59 97 3β„Ž 3β„Ž NOUN cana-4929 59 98 ) ) PUNCT cana-4929 59 99 5 5 NUM cana-4929 59 100 7(π‘₯𝑛 7(π‘₯𝑛 NUM cana-4929 59 101 + + NUM cana-4929 59 102 3β„Ž 3β„Ž NOUN cana-4929 59 103 ) ) PUNCT cana-4929 59 104 6 6 NUM cana-4929 59 105 8(π‘₯𝑛 8(π‘₯𝑛 ADJ cana-4929 59 106 + + ADJ cana-4929 59 107 3β„Ž 3β„Ž NOUN cana-4929 59 108 ) ) PUNCT cana-4929 59 109 7 7 NUM cana-4929 59 110 9(π‘₯𝑛 9(π‘₯𝑛 NOUN cana-4929 59 111 + + NUM cana-4929 59 112 3β„Ž 3β„Ž NOUN cana-4929 59 113 ) ) PUNCT cana-4929 59 114 8 8 NUM cana-4929 59 115 10(π‘₯𝑛 10(π‘₯𝑛 NUM cana-4929 59 116 + + NUM cana-4929 59 117 3β„Ž 3β„Ž NOUN cana-4929 59 118 ) ) PUNCT cana-4929 59 119 9 9 NUM cana-4929 59 120 6(π‘₯𝑛 6(π‘₯𝑛 NUM cana-4929 59 121 + + CCONJ cana-4929 59 122 4β„Ž 4β„Ž NOUN cana-4929 59 123 ) ) PUNCT cana-4929 59 124 5 5 NUM cana-4929 59 125 7(π‘₯𝑛 7(π‘₯𝑛 NUM cana-4929 59 126 + + NUM cana-4929 59 127 4β„Ž 4β„Ž NOUN cana-4929 59 128 ) ) PUNCT cana-4929 59 129 6 6 NUM cana-4929 59 130 8(π‘₯𝑛 8(π‘₯𝑛 NUM cana-4929 59 131 + + ADJ cana-4929 59 132 4β„Ž 4β„Ž NOUN cana-4929 59 133 ) ) PUNCT cana-4929 59 134 7 7 NUM cana-4929 59 135 9(π‘₯𝑛 9(π‘₯𝑛 NOUN cana-4929 59 136 + + CCONJ cana-4929 59 137 4β„Ž 4β„Ž NOUN cana-4929 59 138 ) ) PUNCT cana-4929 59 139 8 8 NUM cana-4929 59 140 10(π‘₯𝑛 10(π‘₯𝑛 NUM cana-4929 59 141 + + CCONJ cana-4929 59 142 4β„Ž 4β„Ž NOUN cana-4929 59 143 ) ) PUNCT cana-4929 59 144 9 9 NUM cana-4929 59 145 ) ) PUNCT cana-4929 59 146 𝐷4 𝐷4 NOUN cana-4929 59 147 = = SYM cana-4929 59 148 ( ( PUNCT cana-4929 59 149 30π‘₯𝑛 30π‘₯𝑛 NOUN cana-4929 59 150 4 4 NUM cana-4929 59 151 42π‘₯𝑛 42π‘₯𝑛 NOUN cana-4929 59 152 5 5 NUM cana-4929 59 153 56π‘₯𝑛 56π‘₯𝑛 NOUN cana-4929 59 154 6 6 NUM cana-4929 59 155 72π‘₯𝑛 72π‘₯𝑛 NOUN cana-4929 59 156 7 7 NUM cana-4929 59 157 90π‘₯𝑛 90π‘₯𝑛 NOUN cana-4929 59 158 8 8 NUM cana-4929 59 159 30(π‘₯𝑛 30(π‘₯𝑛 NUM cana-4929 59 160 + + SYM cana-4929 59 161 β„Ž β„Ž NOUN cana-4929 59 162 ) ) PUNCT cana-4929 59 163 4 4 NUM cana-4929 59 164 42(π‘₯𝑛 42(π‘₯𝑛 NUM cana-4929 59 165 + + CCONJ cana-4929 59 166 β„Ž β„Ž NOUN cana-4929 59 167 ) ) PUNCT cana-4929 59 168 5 5 NUM cana-4929 59 169 56(π‘₯𝑛 56(π‘₯𝑛 NUM cana-4929 59 170 + + CCONJ cana-4929 59 171 β„Ž β„Ž NOUN cana-4929 59 172 ) ) PUNCT cana-4929 59 173 6 6 NUM cana-4929 59 174 72(π‘₯𝑛 72(π‘₯𝑛 NUM cana-4929 59 175 + + NUM cana-4929 59 176 β„Ž β„Ž NOUN cana-4929 59 177 ) ) PUNCT cana-4929 59 178 7 7 NUM cana-4929 59 179 90(π‘₯𝑛 90(π‘₯𝑛 NUM cana-4929 59 180 + + CCONJ cana-4929 59 181 β„Ž β„Ž NOUN cana-4929 59 182 ) ) PUNCT cana-4929 59 183 8 8 NUM cana-4929 59 184 30(π‘₯𝑛 30(π‘₯𝑛 NUM cana-4929 59 185 + + CCONJ cana-4929 59 186 2β„Ž 2β„Ž NUM cana-4929 59 187 ) ) PUNCT cana-4929 59 188 4 4 NUM cana-4929 59 189 42(π‘₯𝑛 42(π‘₯𝑛 NUM cana-4929 59 190 + + CCONJ cana-4929 59 191 2β„Ž 2β„Ž NUM cana-4929 59 192 ) ) PUNCT cana-4929 59 193 5 5 NUM cana-4929 59 194 56(π‘₯𝑛 56(π‘₯𝑛 NUM cana-4929 59 195 + + CCONJ cana-4929 59 196 2β„Ž 2β„Ž NUM cana-4929 59 197 ) ) PUNCT cana-4929 59 198 6 6 NUM cana-4929 59 199 72(π‘₯𝑛 72(π‘₯𝑛 NUM cana-4929 59 200 + + NUM cana-4929 59 201 2β„Ž 2β„Ž NUM cana-4929 59 202 ) ) PUNCT cana-4929 59 203 7 7 NUM cana-4929 59 204 90(π‘₯𝑛 90(π‘₯𝑛 NUM cana-4929 59 205 + + CCONJ cana-4929 59 206 2β„Ž 2β„Ž NUM cana-4929 59 207 ) ) PUNCT cana-4929 59 208 8 8 NUM cana-4929 59 209 30(π‘₯𝑛 30(π‘₯𝑛 NUM cana-4929 59 210 + + NUM cana-4929 59 211 3β„Ž 3β„Ž NOUN cana-4929 59 212 ) ) PUNCT cana-4929 59 213 4 4 NUM cana-4929 59 214 42(π‘₯𝑛 42(π‘₯𝑛 NUM cana-4929 59 215 + + CCONJ cana-4929 59 216 3β„Ž 3β„Ž NOUN cana-4929 59 217 ) ) PUNCT cana-4929 59 218 5 5 NUM cana-4929 59 219 56(π‘₯𝑛 56(π‘₯𝑛 NUM cana-4929 59 220 + + NUM cana-4929 59 221 3β„Ž 3β„Ž NOUN cana-4929 59 222 ) ) PUNCT cana-4929 59 223 6 6 NUM cana-4929 59 224 72(π‘₯𝑛 72(π‘₯𝑛 NUM cana-4929 59 225 + + NUM cana-4929 59 226 3β„Ž 3β„Ž NOUN cana-4929 59 227 ) ) PUNCT cana-4929 59 228 7 7 NUM cana-4929 59 229 90(π‘₯𝑛 90(π‘₯𝑛 NUM cana-4929 59 230 + + CCONJ cana-4929 59 231 3β„Ž 3β„Ž NOUN cana-4929 59 232 ) ) PUNCT cana-4929 59 233 8 8 NUM cana-4929 59 234 30(π‘₯𝑛 30(π‘₯𝑛 NUM cana-4929 59 235 + + ADJ cana-4929 59 236 4β„Ž 4β„Ž NOUN cana-4929 59 237 ) ) PUNCT cana-4929 59 238 4 4 NUM cana-4929 59 239 42(π‘₯𝑛 42(π‘₯𝑛 NUM cana-4929 59 240 + + NUM cana-4929 59 241 4β„Ž 4β„Ž NOUN cana-4929 59 242 ) ) PUNCT cana-4929 59 243 5 5 NUM cana-4929 59 244 56(π‘₯𝑛 56(π‘₯𝑛 NUM cana-4929 59 245 + + CCONJ cana-4929 59 246 4β„Ž 4β„Ž NOUN cana-4929 59 247 ) ) PUNCT cana-4929 59 248 6 6 NUM cana-4929 59 249 72(π‘₯𝑛 72(π‘₯𝑛 NUM cana-4929 59 250 + + NUM cana-4929 59 251 4β„Ž 4β„Ž NOUN cana-4929 59 252 ) ) PUNCT cana-4929 59 253 7 7 NUM cana-4929 59 254 90(π‘₯𝑛 90(π‘₯𝑛 NUM cana-4929 59 255 + + CCONJ cana-4929 59 256 4β„Ž 4β„Ž NOUN cana-4929 59 257 ) ) PUNCT cana-4929 59 258 8) 8) NUM cana-4929 59 259 from from ADP cana-4929 59 260 the the DET cana-4929 59 261 inverse inverse NOUN cana-4929 59 262 of of ADP cana-4929 59 263 the the DET cana-4929 59 264 d d PROPN cana-4929 59 265 matrix matrix NOUN cana-4929 59 266 , , PUNCT cana-4929 59 267 and and CCONJ cana-4929 59 268 by by ADP cana-4929 59 269 putting put VERB cana-4929 59 270 π‘₯ π‘₯ PRON cana-4929 59 271 βˆ’ βˆ’ PUNCT cana-4929 59 272 π‘₯𝑛 π‘₯𝑛 PROPN cana-4929 59 273 = = SYM cana-4929 59 274 πœ‡ πœ‡ ADP cana-4929 59 275 , , PUNCT cana-4929 59 276 the the DET cana-4929 59 277 values value NOUN cana-4929 59 278 of of ADP cana-4929 59 279 the the DET cana-4929 59 280 continuous continuous ADJ cana-4929 59 281 coefficients coefficient NOUN cana-4929 59 282 in in ADP cana-4929 59 283 ( ( PUNCT cana-4929 59 284 2.1 2.1 NUM cana-4929 59 285 ) ) PUNCT cana-4929 59 286 are be AUX cana-4929 59 287 obtained obtain VERB cana-4929 59 288 and and CCONJ cana-4929 59 289 presented present VERB cana-4929 59 290 as as SCONJ cana-4929 59 291 follows follow VERB cana-4929 59 292 : : PUNCT cana-4929 59 293 𝛼3 𝛼3 NOUN cana-4929 59 294 = = SYM cana-4929 59 295 1 1 NUM cana-4929 59 296 β„Žπ›½0 β„Žπ›½0 NOUN cana-4929 59 297 = = SYM cana-4929 59 298 βˆ’ βˆ’ PROPN cana-4929 59 299 1 1 NUM cana-4929 59 300 4354560β„Ž9 4354560β„Ž9 PROPN cana-4929 59 301 ( ( PUNCT cana-4929 59 302 58509β„Ž7 58509β„Ž7 NUM cana-4929 59 303 βˆ’ βˆ’ PROPN cana-4929 59 304 102771β„Ž6πœ‡ 102771β„Ž6πœ‡ NUM cana-4929 59 305 βˆ’ βˆ’ PROPN cana-4929 59 306 122274β„Ž5πœ‡2 122274β„Ž5πœ‡2 PROPN cana-4929 59 307 + + NUM cana-4929 59 308 457350β„Ž4πœ‡3 457350β„Ž4πœ‡3 NUM cana-4929 59 309 βˆ’ βˆ’ NUM cana-4929 59 310 446265β„Ž3πœ‡4 446265β„Ž3πœ‡4 NUM cana-4929 60 1 + + CCONJ cana-4929 61 1 198135β„Ž2πœ‡5 198135β„Ž2πœ‡5 NUM cana-4929 61 2 βˆ’ βˆ’ NUM cana-4929 62 1 40810β„Žπœ‡6 40810β„Žπœ‡6 NOUN cana-4929 62 2 + + CCONJ cana-4929 62 3 3150πœ‡7)(3β„Ž 3150πœ‡7)(3β„Ž NUM cana-4929 62 4 βˆ’ βˆ’ ADP cana-4929 62 5 πœ‡)3 πœ‡)3 PROPN cana-4929 62 6 β„Žπ›½1 β„Žπ›½1 NOUN cana-4929 62 7 = = NOUN cana-4929 62 8 1 1 NUM cana-4929 62 9 272160β„Ž9 272160β„Ž9 NUM cana-4929 62 10 ( ( PUNCT cana-4929 62 11 1260πœ‡7 1260πœ‡7 CCONJ cana-4929 62 12 βˆ’ βˆ’ NUM cana-4929 62 13 14420πœ‡6β„Ž 14420πœ‡6β„Ž NUM cana-4929 63 1 + + CCONJ cana-4929 63 2 57015πœ‡5β„Ž2 57015πœ‡5β„Ž2 NUM cana-4929 63 3 βˆ’ βˆ’ NOUN cana-4929 63 4 88065πœ‡4β„Ž3 88065πœ‡4β„Ž3 NUM cana-4929 64 1 + + CCONJ cana-4929 64 2 38910πœ‡3β„Ž4 38910πœ‡3β„Ž4 NUM cana-4929 64 3 + + CCONJ cana-4929 64 4 5526πœ‡2β„Ž5 5526πœ‡2β„Ž5 NUM cana-4929 64 5 + + NUM cana-4929 64 6 8289πœ‡β„Ž6 8289πœ‡β„Ž6 ADJ cana-4929 64 7 + + SYM cana-4929 64 8 8289β„Ž7)(3β„Ž 8289β„Ž7)(3β„Ž NOUN cana-4929 64 9 βˆ’ βˆ’ ADP cana-4929 64 10 πœ‡)3 πœ‡)3 PROPN cana-4929 64 11 β„Žπ›½2 β„Žπ›½2 ADP cana-4929 64 12 = = SYM cana-4929 64 13 βˆ’ βˆ’ PROPN cana-4929 64 14 3 3 NUM cana-4929 64 15 560β„Ž8 560β„Ž8 NUM cana-4929 64 16 ( ( PUNCT cana-4929 64 17 216β„Ž6 216β„Ž6 NUM cana-4929 64 18 + + SYM cana-4929 64 19 216β„Ž5πœ‡ 216β„Ž5πœ‡ NUM cana-4929 65 1 + + NUM cana-4929 65 2 144β„Ž4πœ‡2 144β„Ž4πœ‡2 NUM cana-4929 65 3 βˆ’ βˆ’ NOUN cana-4929 65 4 480β„Ž3πœ‡3 480β„Ž3πœ‡3 NUM cana-4929 66 1 + + CCONJ cana-4929 66 2 810β„Ž2πœ‡4 810β„Ž2πœ‡4 NUM cana-4929 66 3 βˆ’ βˆ’ NOUN cana-4929 67 1 315β„Žπœ‡5 315β„Žπœ‡5 PROPN cana-4929 67 2 + + NOUN cana-4929 67 3 35πœ‡6)(β„Ž 35πœ‡6)(β„Ž NUM cana-4929 67 4 βˆ’ βˆ’ PROPN cana-4929 67 5 πœ‡)3 πœ‡)3 PROPN cana-4929 67 6 β„Žπ›½3 β„Žπ›½3 PROPN cana-4929 67 7 = = SYM cana-4929 67 8 βˆ’ βˆ’ PROPN cana-4929 67 9 1 1 NUM cana-4929 67 10 272160β„Ž9 272160β„Ž9 NOUN cana-4929 67 11 ( ( PUNCT cana-4929 67 12 57591β„Ž9 57591β„Ž9 NUM cana-4929 67 13 + + NUM cana-4929 67 14 19197β„Ž8πœ‡ 19197β„Ž8πœ‡ NUM cana-4929 67 15 + + CCONJ cana-4929 67 16 6399β„Ž7πœ‡2 6399β„Ž7πœ‡2 NUM cana-4929 67 17 βˆ’ βˆ’ NUM cana-4929 67 18 320427β„Ž6πœ‡3 320427β„Ž6πœ‡3 NUM cana-4929 67 19 + + CCONJ cana-4929 67 20 807111β„Ž5πœ‡4 807111β„Ž5πœ‡4 NUM cana-4929 67 21 βˆ’ βˆ’ NUM cana-4929 67 22 850515β„Ž4πœ‡5 850515β„Ž4πœ‡5 NUM cana-4929 68 1 + + CCONJ cana-4929 68 2 466335β„Ž3πœ‡6 466335β„Ž3πœ‡6 NUM cana-4929 69 1 βˆ’ βˆ’ NOUN cana-4929 69 2 138075β„Ž2πœ‡7 138075β„Ž2πœ‡7 NUM cana-4929 70 1 + + CCONJ cana-4929 71 1 20860β„Žπœ‡8 20860β„Žπœ‡8 NUM cana-4929 71 2 βˆ’ βˆ’ NUM cana-4929 71 3 1260πœ‡9)(3β„Ž 1260πœ‡9)(3β„Ž NUM cana-4929 71 4 βˆ’ βˆ’ NOUN cana-4929 71 5 πœ‡ πœ‡ PART cana-4929 71 6 ) ) PUNCT cana-4929 71 7 β„Žπ›½4 β„Žπ›½4 NOUN cana-4929 71 8 = = SYM cana-4929 72 1 βˆ’ βˆ’ PROPN cana-4929 72 2 1 1 NUM cana-4929 72 3 4354560β„Ž9 4354560β„Ž9 PROPN cana-4929 72 4 ( ( PUNCT cana-4929 72 5 3699β„Ž7 3699β„Ž7 NUM cana-4929 72 6 + + CCONJ cana-4929 72 7 3699β„Ž6πœ‡ 3699β„Ž6πœ‡ NUM cana-4929 72 8 + + NOUN cana-4929 72 9 2466β„Ž5πœ‡2 2466β„Ž5πœ‡2 NUM cana-4929 72 10 βˆ’ βˆ’ NOUN cana-4929 73 1 57990β„Ž4πœ‡3 57990β„Ž4πœ‡3 NUM cana-4929 74 1 + + NUM cana-4929 74 2 115065β„Ž3πœ‡4 115065β„Ž3πœ‡4 NUM cana-4929 74 3 βˆ’ βˆ’ NUM cana-4929 74 4 87255β„Ž2πœ‡5 87255β„Ž2πœ‡5 NUM cana-4929 74 5 + + CCONJ cana-4929 74 6 28490β„Žπœ‡6 28490β„Žπœ‡6 NUM cana-4929 74 7 βˆ’ βˆ’ NUM cana-4929 74 8 3150πœ‡7)(3β„Ž 3150πœ‡7)(3β„Ž NOUN cana-4929 74 9 βˆ’ βˆ’ ADP cana-4929 74 10 πœ‡)3 πœ‡)3 PROPN cana-4929 74 11 β„Ž2𝛾0 β„Ž2𝛾0 PUNCT cana-4929 74 12 = = SYM cana-4929 74 13 βˆ’ βˆ’ PROPN cana-4929 74 14 1 1 NUM cana-4929 74 15 725760β„Ž8 725760β„Ž8 NUM cana-4929 74 16 ( ( PUNCT cana-4929 74 17 1017β„Ž7 1017β„Ž7 NUM cana-4929 74 18 + + CCONJ cana-4929 74 19 1017β„Ž6πœ‡ 1017β„Ž6πœ‡ NUM cana-4929 74 20 βˆ’ βˆ’ PROPN cana-4929 74 21 12762β„Ž5πœ‡2 12762β„Ž5πœ‡2 NUM cana-4929 75 1 + + NOUN cana-4929 75 2 24270β„Ž4πœ‡3 24270β„Ž4πœ‡3 NUM cana-4929 75 3 βˆ’ βˆ’ NUM cana-4929 75 4 20205β„Ž3πœ‡4 20205β„Ž3πœ‡4 NUM cana-4929 76 1 + + CCONJ cana-4929 76 2 8379β„Ž2πœ‡5 8379β„Ž2πœ‡5 NUM cana-4929 76 3 βˆ’ βˆ’ PROPN cana-4929 77 1 1666β„Žπ‘§6 1666β„Žπ‘§6 NOUN cana-4929 77 2 + + CCONJ cana-4929 77 3 126𝑧7)(3β„Ž 126𝑧7)(3β„Ž NUM cana-4929 77 4 βˆ’ βˆ’ PROPN cana-4929 77 5 πœ‡)3 πœ‡)3 PROPN cana-4929 77 6 β„Ž2𝛾1 β„Ž2𝛾1 NOUN cana-4929 78 1 = = SYM cana-4929 78 2 1 1 NUM cana-4929 78 3 90720β„Ž8 90720β„Ž8 NUM cana-4929 78 4 ( ( PUNCT cana-4929 78 5 837β„Ž7 837β„Ž7 NUM cana-4929 78 6 + + SYM cana-4929 78 7 837β„Ž6πœ‡ 837β„Ž6πœ‡ NUM cana-4929 78 8 + + CCONJ cana-4929 78 9 558β„Ž5πœ‡2 558β„Ž5πœ‡2 NUM cana-4929 78 10 βˆ’ βˆ’ NOUN cana-4929 78 11 17610β„Ž4πœ‡3 17610β„Ž4πœ‡3 NUM cana-4929 79 1 + + CCONJ cana-4929 80 1 24795β„Ž3πœ‡4 24795β„Ž3πœ‡4 NUM cana-4929 80 2 βˆ’ βˆ’ NOUN cana-4929 80 3 13293β„Ž2πœ‡5 13293β„Ž2πœ‡5 NUM cana-4929 81 1 + + CCONJ cana-4929 81 2 3052β„Žπœ‡6 3052β„Žπœ‡6 NUM cana-4929 81 3 βˆ’ βˆ’ NUM cana-4929 81 4 252πœ‡7)(3β„Ž 252πœ‡7)(3β„Ž NOUN cana-4929 81 5 βˆ’ βˆ’ NOUN cana-4929 81 6 πœ‡)3 πœ‡)3 PROPN cana-4929 81 7 β„Ž2𝛾2 β„Ž2𝛾2 X cana-4929 81 8 = = SYM cana-4929 81 9 1 1 NUM cana-4929 81 10 320β„Ž8 320β„Ž8 NUM cana-4929 81 11 ( ( PUNCT cana-4929 81 12 3β„Ž 3β„Ž NOUN cana-4929 81 13 βˆ’ βˆ’ NOUN cana-4929 81 14 πœ‡)3(3β„Ž4 πœ‡)3(3β„Ž4 NOUN cana-4929 81 15 + + CCONJ cana-4929 81 16 12β„Ž3πœ‡ 12β„Ž3πœ‡ NUM cana-4929 81 17 + + SYM cana-4929 81 18 29β„Ž2πœ‡2 29β„Ž2πœ‡2 NOUN cana-4929 81 19 βˆ’ βˆ’ NOUN cana-4929 81 20 16β„Žπ‘§3 16β„Žπ‘§3 NOUN cana-4929 81 21 + + CCONJ cana-4929 81 22 2πœ‡4)(β„Ž 2πœ‡4)(β„Ž NUM cana-4929 81 23 βˆ’ βˆ’ ADP cana-4929 81 24 πœ‡)3 πœ‡)3 PROPN cana-4929 81 25 β„Ž2𝛾3 β„Ž2𝛾3 PUNCT cana-4929 81 26 = = SYM cana-4929 81 27 1 1 NUM cana-4929 81 28 90720β„Ž8 90720β„Ž8 NUM cana-4929 81 29 ( ( PUNCT cana-4929 81 30 1647β„Ž8 1647β„Ž8 NUM cana-4929 82 1 + + NUM cana-4929 82 2 1098β„Ž7πœ‡ 1098β„Ž7πœ‡ NUM cana-4929 82 3 + + CCONJ cana-4929 82 4 549β„Ž6πœ‡2 549β„Ž6πœ‡2 NUM cana-4929 82 5 βˆ’ βˆ’ NOUN cana-4929 82 6 17676β„Ž5πœ‡3 17676β„Ž5πœ‡3 PRON cana-4929 83 1 + + CCONJ cana-4929 83 2 39675β„Ž4πœ‡4 39675β„Ž4πœ‡4 NUM cana-4929 83 3 βˆ’ βˆ’ NUM cana-4929 84 1 35874β„Ž3πœ‡5 35874β„Ž3πœ‡5 NUM cana-4929 85 1 + + NUM cana-4929 85 2 15729β„Ž2πœ‡6 15729β„Ž2πœ‡6 NUM cana-4929 85 3 βˆ’ βˆ’ NUM cana-4929 86 1 3248β„Žπœ‡7 3248β„Žπœ‡7 NUM cana-4929 86 2 + + CCONJ cana-4929 86 3 252πœ‡8)(3β„Ž 252πœ‡8)(3β„Ž NUM cana-4929 86 4 βˆ’ βˆ’ NOUN cana-4929 86 5 πœ‡)2 πœ‡)2 PROPN cana-4929 86 6 β„Ž2𝛾4 β„Ž2𝛾4 NOUN cana-4929 86 7 = = SYM cana-4929 86 8 1 1 NUM cana-4929 86 9 725760β„Ž8 725760β„Ž8 NUM cana-4929 86 10 ( ( PUNCT cana-4929 86 11 135β„Ž7 135β„Ž7 NUM cana-4929 86 12 + + NUM cana-4929 86 13 135β„Ž6πœ‡ 135β„Ž6πœ‡ PROPN cana-4929 86 14 + + NUM cana-4929 86 15 90β„Ž5πœ‡2 90β„Ž5πœ‡2 NOUN cana-4929 86 16 βˆ’ βˆ’ NOUN cana-4929 86 17 2190β„Ž4πœ‡3 2190β„Ž4πœ‡3 NUM cana-4929 87 1 + + CCONJ cana-4929 88 1 4365β„Ž3πœ‡4 4365β„Ž3πœ‡4 NUM cana-4929 88 2 βˆ’ βˆ’ PROPN cana-4929 89 1 3339β„Ž2πœ‡5 3339β„Ž2πœ‡5 NUM cana-4929 89 2 + + NUM cana-4929 89 3 1106β„Žπœ‡6 1106β„Žπœ‡6 NUM cana-4929 89 4 βˆ’ βˆ’ NOUN cana-4929 89 5 126πœ‡7)(3β„Ž 126πœ‡7)(3β„Ž NUM cana-4929 89 6 βˆ’ βˆ’ PROPN cana-4929 89 7 πœ‡)3 πœ‡)3 PROPN cana-4929 89 8 } } PUNCT cana-4929 89 9 ( ( PUNCT cana-4929 89 10 2.2 2.2 NUM cana-4929 89 11 ) ) PUNCT cana-4929 89 12 to to PART cana-4929 89 13 obtain obtain VERB cana-4929 89 14 the the DET cana-4929 89 15 continuous continuous ADJ cana-4929 89 16 form form NOUN cana-4929 89 17 of of ADP cana-4929 89 18 the the DET cana-4929 89 19 new new ADJ cana-4929 89 20 method method NOUN cana-4929 89 21 , , PUNCT cana-4929 89 22 we we PRON cana-4929 89 23 substitute substitute VERB cana-4929 89 24 the the DET cana-4929 89 25 values value NOUN cana-4929 89 26 of of ADP cana-4929 89 27 the the DET cana-4929 89 28 continuous continuous ADJ cana-4929 89 29 coefficients coefficient NOUN cana-4929 89 30 into into ADP cana-4929 89 31 ( ( PUNCT cana-4929 89 32 2.1 2.1 NUM cana-4929 89 33 ) ) PUNCT cana-4929 89 34 . . PUNCT cana-4929 90 1 this this PRON cana-4929 90 2 is be AUX cana-4929 90 3 presented present VERB cana-4929 90 4 in in ADP cana-4929 90 5 the the DET cana-4929 90 6 following follow VERB cana-4929 90 7 form form NOUN cana-4929 90 8 : : PUNCT cana-4929 90 9 𝑦(π‘₯ 𝑦(π‘₯ NUM cana-4929 90 10 ) ) PUNCT cana-4929 90 11 = = SYM cana-4929 90 12 𝑦𝑛+3 𝑦𝑛+3 NOUN cana-4929 90 13 + + CCONJ cana-4929 90 14 ( ( PUNCT cana-4929 90 15 βˆ’ βˆ’ PROPN cana-4929 90 16 1 1 NUM cana-4929 90 17 4354560β„Ž9 4354560β„Ž9 PROPN cana-4929 90 18 ( ( PUNCT cana-4929 90 19 58509β„Ž7 58509β„Ž7 NUM cana-4929 90 20 βˆ’ βˆ’ PROPN cana-4929 90 21 102771β„Ž6πœ‡ 102771β„Ž6πœ‡ NUM cana-4929 90 22 βˆ’ βˆ’ PROPN cana-4929 91 1 122274β„Ž5πœ‡2 122274β„Ž5πœ‡2 PROPN cana-4929 92 1 + + NUM cana-4929 92 2 457350β„Ž4πœ‡3 457350β„Ž4πœ‡3 NUM cana-4929 92 3 βˆ’ βˆ’ NUM cana-4929 93 1 446265β„Ž3πœ‡4 446265β„Ž3πœ‡4 NUM cana-4929 94 1 + + CCONJ cana-4929 95 1 198135β„Ž2πœ‡5 198135β„Ž2πœ‡5 NUM cana-4929 95 2 βˆ’ βˆ’ NUM cana-4929 96 1 40810β„Žπœ‡6 40810β„Žπœ‡6 NOUN cana-4929 96 2 + + CCONJ cana-4929 96 3 3150πœ‡7)(3β„Ž 3150πœ‡7)(3β„Ž NUM cana-4929 96 4 βˆ’ βˆ’ ADP cana-4929 96 5 πœ‡)3 πœ‡)3 NOUN cana-4929 96 6 ) ) PUNCT cana-4929 97 1 𝑓𝑛 𝑓𝑛 ADP cana-4929 97 2 + + PROPN cana-4929 97 3 ( ( PUNCT cana-4929 97 4 1 1 NUM cana-4929 97 5 272160β„Ž9 272160β„Ž9 NOUN cana-4929 97 6 ( ( PUNCT cana-4929 97 7 1260πœ‡7 1260πœ‡7 CCONJ cana-4929 97 8 βˆ’ βˆ’ NUM cana-4929 97 9 14420πœ‡6β„Ž 14420πœ‡6β„Ž NUM cana-4929 98 1 + + CCONJ cana-4929 98 2 57015πœ‡5β„Ž2 57015πœ‡5β„Ž2 NUM cana-4929 98 3 βˆ’ βˆ’ NOUN cana-4929 98 4 88065πœ‡4β„Ž3 88065πœ‡4β„Ž3 NUM cana-4929 99 1 + + CCONJ cana-4929 99 2 38910πœ‡3β„Ž4 38910πœ‡3β„Ž4 NUM cana-4929 99 3 + + CCONJ cana-4929 99 4 5526πœ‡2β„Ž5 5526πœ‡2β„Ž5 NUM cana-4929 99 5 + + NUM cana-4929 99 6 8289πœ‡β„Ž6 8289πœ‡β„Ž6 ADJ cana-4929 99 7 + + SYM cana-4929 99 8 8289β„Ž7)(3β„Ž 8289β„Ž7)(3β„Ž NOUN cana-4929 99 9 βˆ’ βˆ’ ADP cana-4929 99 10 πœ‡)3 πœ‡)3 NOUN cana-4929 99 11 ) ) PUNCT cana-4929 100 1 𝑓𝑛+1 𝑓𝑛+1 PROPN cana-4929 101 1 + + NOUN cana-4929 101 2 ( ( PUNCT cana-4929 101 3 βˆ’ βˆ’ PROPN cana-4929 101 4 3 3 NUM cana-4929 101 5 560β„Ž8 560β„Ž8 NUM cana-4929 101 6 ( ( PUNCT cana-4929 101 7 216β„Ž6 216β„Ž6 NUM cana-4929 101 8 + + SYM cana-4929 101 9 216β„Ž5πœ‡ 216β„Ž5πœ‡ NUM cana-4929 101 10 + + NUM cana-4929 101 11 144β„Ž4πœ‡2 144β„Ž4πœ‡2 NUM cana-4929 101 12 βˆ’ βˆ’ NOUN cana-4929 101 13 480β„Ž3πœ‡3 480β„Ž3πœ‡3 NUM cana-4929 102 1 + + CCONJ cana-4929 102 2 810β„Ž2πœ‡4 810β„Ž2πœ‡4 NUM cana-4929 102 3 βˆ’ βˆ’ NOUN cana-4929 103 1 315β„Žπœ‡5 315β„Žπœ‡5 PROPN cana-4929 103 2 + + NUM cana-4929 103 3 35πœ‡6)(β„Ž 35πœ‡6)(β„Ž NUM cana-4929 103 4 βˆ’ βˆ’ PROPN cana-4929 103 5 πœ‡)3 πœ‡)3 PROPN cana-4929 103 6 ) ) PUNCT cana-4929 103 7 𝑓𝑛+2 𝑓𝑛+2 PROPN cana-4929 103 8 + + NOUN cana-4929 103 9 ( ( PUNCT cana-4929 103 10 βˆ’ βˆ’ PROPN cana-4929 103 11 1 1 NUM cana-4929 103 12 272160β„Ž9 272160β„Ž9 NOUN cana-4929 103 13 ( ( PUNCT cana-4929 103 14 57591β„Ž9 57591β„Ž9 NUM cana-4929 103 15 + + NUM cana-4929 103 16 19197β„Ž8πœ‡ 19197β„Ž8πœ‡ NUM cana-4929 103 17 + + CCONJ cana-4929 103 18 6399β„Ž7πœ‡2 6399β„Ž7πœ‡2 NUM cana-4929 103 19 βˆ’ βˆ’ NUM cana-4929 103 20 320427β„Ž6πœ‡3 320427β„Ž6πœ‡3 NUM cana-4929 104 1 + + CCONJ cana-4929 104 2 807111β„Ž5πœ‡4 807111β„Ž5πœ‡4 NUM cana-4929 104 3 βˆ’ βˆ’ NUM cana-4929 104 4 850515β„Ž4πœ‡5 850515β„Ž4πœ‡5 NUM cana-4929 105 1 + + CCONJ cana-4929 105 2 466335β„Ž3πœ‡6 466335β„Ž3πœ‡6 NUM cana-4929 106 1 βˆ’ βˆ’ NOUN cana-4929 106 2 138075β„Ž2πœ‡7 138075β„Ž2πœ‡7 NUM cana-4929 107 1 + + CCONJ cana-4929 108 1 20860β„Žπœ‡8 20860β„Žπœ‡8 NUM cana-4929 108 2 βˆ’ βˆ’ NUM cana-4929 108 3 1260πœ‡9)(3β„Ž 1260πœ‡9)(3β„Ž NUM cana-4929 108 4 βˆ’ βˆ’ NOUN cana-4929 108 5 πœ‡ πœ‡ NOUN cana-4929 108 6 ) ) PUNCT cana-4929 108 7 ) ) PUNCT cana-4929 108 8 𝑓𝑛+3 𝑓𝑛+3 NUM cana-4929 109 1 + + ADJ cana-4929 109 2 ( ( PUNCT cana-4929 109 3 βˆ’ βˆ’ PROPN cana-4929 109 4 1 1 NUM cana-4929 109 5 4354560β„Ž9 4354560β„Ž9 PROPN cana-4929 109 6 ( ( PUNCT cana-4929 109 7 3699β„Ž7 3699β„Ž7 NUM cana-4929 109 8 + + CCONJ cana-4929 109 9 3699β„Ž6πœ‡ 3699β„Ž6πœ‡ NUM cana-4929 109 10 + + NOUN cana-4929 109 11 2466β„Ž5πœ‡2 2466β„Ž5πœ‡2 NUM cana-4929 109 12 βˆ’ βˆ’ NOUN cana-4929 110 1 57990β„Ž4πœ‡3 57990β„Ž4πœ‡3 NUM cana-4929 111 1 + + NUM cana-4929 111 2 115065β„Ž3πœ‡4 115065β„Ž3πœ‡4 NUM cana-4929 111 3 βˆ’ βˆ’ NUM cana-4929 111 4 87255β„Ž2πœ‡5 87255β„Ž2πœ‡5 NUM cana-4929 111 5 + + CCONJ cana-4929 111 6 28490β„Žπœ‡6 28490β„Žπœ‡6 NUM cana-4929 111 7 βˆ’ βˆ’ NUM cana-4929 111 8 3150πœ‡7)(3β„Ž 3150πœ‡7)(3β„Ž NOUN cana-4929 111 9 βˆ’ βˆ’ ADP cana-4929 111 10 πœ‡)3 πœ‡)3 NOUN cana-4929 111 11 ) ) PUNCT cana-4929 111 12 𝑓𝑛+4 𝑓𝑛+4 VERB cana-4929 111 13 + + NOUN cana-4929 111 14 ( ( PUNCT cana-4929 111 15 βˆ’ βˆ’ PROPN cana-4929 111 16 1 1 NUM cana-4929 111 17 725760β„Ž8 725760β„Ž8 NUM cana-4929 111 18 ( ( PUNCT cana-4929 111 19 1017β„Ž7 1017β„Ž7 NUM cana-4929 111 20 + + CCONJ cana-4929 111 21 1017β„Ž6πœ‡ 1017β„Ž6πœ‡ NUM cana-4929 111 22 βˆ’ βˆ’ PROPN cana-4929 111 23 12762β„Ž5πœ‡2 12762β„Ž5πœ‡2 NUM cana-4929 112 1 + + NOUN cana-4929 112 2 24270β„Ž4πœ‡3 24270β„Ž4πœ‡3 NUM cana-4929 112 3 βˆ’ βˆ’ NUM cana-4929 112 4 20205β„Ž3πœ‡4 20205β„Ž3πœ‡4 NUM cana-4929 113 1 + + CCONJ cana-4929 113 2 8379β„Ž2πœ‡5 8379β„Ž2πœ‡5 NUM cana-4929 113 3 βˆ’ βˆ’ PROPN cana-4929 114 1 1666β„Žπ‘§6 1666β„Žπ‘§6 NOUN cana-4929 114 2 + + CCONJ cana-4929 114 3 126𝑧7)(3β„Ž 126𝑧7)(3β„Ž NUM cana-4929 114 4 βˆ’ βˆ’ NOUN cana-4929 114 5 πœ‡)3)𝑔𝑛 πœ‡)3)𝑔𝑛 X cana-4929 114 6 + + NOUN cana-4929 114 7 ( ( PUNCT cana-4929 114 8 1 1 NUM cana-4929 114 9 90720β„Ž8 90720β„Ž8 NOUN cana-4929 114 10 ( ( PUNCT cana-4929 114 11 837β„Ž7 837β„Ž7 NUM cana-4929 114 12 + + SYM cana-4929 114 13 837β„Ž6πœ‡ 837β„Ž6πœ‡ NUM cana-4929 114 14 + + CCONJ cana-4929 114 15 558β„Ž5πœ‡2 558β„Ž5πœ‡2 NUM cana-4929 114 16 βˆ’ βˆ’ NOUN cana-4929 114 17 17610β„Ž4πœ‡3 17610β„Ž4πœ‡3 NUM cana-4929 115 1 + + CCONJ cana-4929 116 1 24795β„Ž3πœ‡4 24795β„Ž3πœ‡4 NUM cana-4929 116 2 βˆ’ βˆ’ NOUN cana-4929 116 3 13293β„Ž2πœ‡5 13293β„Ž2πœ‡5 NUM cana-4929 117 1 + + CCONJ cana-4929 117 2 3052β„Žπœ‡6 3052β„Žπœ‡6 NUM cana-4929 117 3 βˆ’ βˆ’ NUM cana-4929 117 4 252πœ‡7)(3β„Ž 252πœ‡7)(3β„Ž NUM cana-4929 117 5 βˆ’ βˆ’ PROPN cana-4929 117 6 πœ‡)3)𝑔𝑛+1 πœ‡)3)𝑔𝑛+1 PROPN cana-4929 118 1 + + ADJ cana-4929 118 2 ( ( PUNCT cana-4929 118 3 1 1 NUM cana-4929 118 4 320β„Ž8 320β„Ž8 NUM cana-4929 118 5 ( ( PUNCT cana-4929 118 6 3β„Ž 3β„Ž NOUN cana-4929 118 7 βˆ’ βˆ’ NOUN cana-4929 118 8 πœ‡)3(3β„Ž4 πœ‡)3(3β„Ž4 NOUN cana-4929 118 9 + + CCONJ cana-4929 118 10 12β„Ž3πœ‡ 12β„Ž3πœ‡ NUM cana-4929 118 11 + + SYM cana-4929 118 12 29β„Ž2πœ‡2 29β„Ž2πœ‡2 NOUN cana-4929 118 13 βˆ’ βˆ’ NOUN cana-4929 118 14 16β„Žπ‘§3 16β„Žπ‘§3 PRON cana-4929 118 15 + + CCONJ cana-4929 118 16 2πœ‡4)(β„Ž 2πœ‡4)(β„Ž NUM cana-4929 118 17 βˆ’ βˆ’ NOUN cana-4929 118 18 πœ‡)3)𝑔𝑛+2 πœ‡)3)𝑔𝑛+2 X cana-4929 119 1 + + PROPN cana-4929 119 2 ( ( PUNCT cana-4929 119 3 1 1 NUM cana-4929 119 4 90720β„Ž8 90720β„Ž8 NOUN cana-4929 119 5 ( ( PUNCT cana-4929 119 6 1647β„Ž8 1647β„Ž8 NUM cana-4929 120 1 + + NUM cana-4929 120 2 1098β„Ž7πœ‡ 1098β„Ž7πœ‡ NUM cana-4929 120 3 + + CCONJ cana-4929 120 4 549β„Ž6πœ‡2 549β„Ž6πœ‡2 NUM cana-4929 120 5 βˆ’ βˆ’ NOUN cana-4929 120 6 17676β„Ž5πœ‡3 17676β„Ž5πœ‡3 PRON cana-4929 121 1 + + CCONJ cana-4929 121 2 39675β„Ž4πœ‡4 39675β„Ž4πœ‡4 NUM cana-4929 121 3 βˆ’ βˆ’ NUM cana-4929 122 1 35874β„Ž3πœ‡5 35874β„Ž3πœ‡5 NUM cana-4929 123 1 + + NUM cana-4929 123 2 15729β„Ž2πœ‡6 15729β„Ž2πœ‡6 NUM cana-4929 123 3 βˆ’ βˆ’ NUM cana-4929 124 1 3248β„Žπœ‡7 3248β„Žπœ‡7 NUM cana-4929 124 2 + + CCONJ cana-4929 124 3 252πœ‡8)(3β„Ž 252πœ‡8)(3β„Ž NUM cana-4929 124 4 βˆ’ βˆ’ PROPN cana-4929 124 5 πœ‡)2 πœ‡)2 PROPN cana-4929 124 6 ) ) PUNCT cana-4929 124 7 𝑔𝑛+3 𝑔𝑛+3 PROPN cana-4929 125 1 + + PROPN cana-4929 125 2 ( ( PUNCT cana-4929 125 3 1 1 NUM cana-4929 125 4 725760β„Ž8 725760β„Ž8 NUM cana-4929 125 5 ( ( PUNCT cana-4929 125 6 135β„Ž7 135β„Ž7 NUM cana-4929 125 7 + + NUM cana-4929 125 8 135β„Ž6πœ‡ 135β„Ž6πœ‡ PROPN cana-4929 125 9 + + NUM cana-4929 125 10 90β„Ž5πœ‡2 90β„Ž5πœ‡2 NOUN cana-4929 125 11 βˆ’ βˆ’ NOUN cana-4929 125 12 2190β„Ž4πœ‡3 2190β„Ž4πœ‡3 NUM cana-4929 126 1 + + CCONJ cana-4929 127 1 4365β„Ž3πœ‡4 4365β„Ž3πœ‡4 NUM cana-4929 127 2 βˆ’ βˆ’ PROPN cana-4929 128 1 3339β„Ž2πœ‡5 3339β„Ž2πœ‡5 NUM cana-4929 128 2 + + NUM cana-4929 128 3 1106β„Žπœ‡6 1106β„Žπœ‡6 NUM cana-4929 128 4 βˆ’ βˆ’ NOUN cana-4929 128 5 126πœ‡7)(3β„Ž 126πœ‡7)(3β„Ž NOUN cana-4929 128 6 βˆ’ βˆ’ PROPN cana-4929 128 7 πœ‡)3)𝑔𝑛+4 πœ‡)3)𝑔𝑛+4 NOUN cana-4929 128 8 ( ( PUNCT cana-4929 128 9 2.3 2.3 NUM cana-4929 128 10 ) ) PUNCT cana-4929 128 11 the the DET cana-4929 128 12 continuous continuous ADJ cana-4929 128 13 scheme scheme NOUN cana-4929 128 14 ( ( PUNCT cana-4929 128 15 2.3 2.3 NUM cana-4929 128 16 ) ) PUNCT cana-4929 128 17 is be AUX cana-4929 128 18 interpolated interpolate VERB cana-4929 128 19 at at ADP cana-4929 128 20 some some DET cana-4929 128 21 points point NOUN cana-4929 128 22 for for ADP cana-4929 128 23 πœ‡ πœ‡ ADP cana-4929 128 24 = = X cana-4929 128 25 0 0 NUM cana-4929 128 26 , , PUNCT cana-4929 128 27 β„Ž β„Ž PROPN cana-4929 128 28 , , PUNCT cana-4929 128 29 2β„Ž 2β„Ž NUM cana-4929 128 30 and and CCONJ cana-4929 128 31 4β„Ž 4β„Ž NOUN cana-4929 128 32 , , PUNCT cana-4929 128 33 thereby thereby ADV cana-4929 128 34 , , PUNCT cana-4929 128 35 yielding yield VERB cana-4929 128 36 4 4 NUM cana-4929 128 37 discrete discrete ADJ cana-4929 128 38 methods method NOUN cana-4929 128 39 . . PUNCT cana-4929 129 1 these these PRON cana-4929 129 2 can can AUX cana-4929 129 3 be be AUX cana-4929 129 4 presented present VERB cana-4929 129 5 as as ADP cana-4929 129 6 : : PUNCT cana-4929 129 7 communications communication NOUN cana-4929 129 8 on on ADP cana-4929 129 9 applied apply VERB cana-4929 129 10 nonlinear nonlinear ADJ cana-4929 129 11 analysis analysis NOUN cana-4929 129 12 issn issn NOUN cana-4929 129 13 : : PUNCT cana-4929 129 14 1074 1074 NUM cana-4929 129 15 - - PUNCT cana-4929 129 16 133x 133x NUM cana-4929 129 17 vol vol VERB cana-4929 129 18 32 32 NUM cana-4929 129 19 no no NOUN cana-4929 129 20 . . PUNCT cana-4929 130 1 10s 10 NOUN cana-4929 130 2 ( ( PUNCT cana-4929 130 3 2025 2025 NUM cana-4929 130 4 ) ) PUNCT cana-4929 130 5 963 963 NUM cana-4929 130 6 https://internationalpubls.com https://internationalpubls.com X cana-4929 130 7 [ [ PUNCT cana-4929 130 8 1 1 NUM cana-4929 130 9 0 0 NUM cana-4929 130 10 0 0 NUM cana-4929 130 11 0 0 NUM cana-4929 130 12 0 0 NUM cana-4929 130 13 1 1 NUM cana-4929 130 14 0 0 NUM cana-4929 130 15 0 0 NUM cana-4929 130 16 0 0 NUM cana-4929 130 17 0 0 NUM cana-4929 130 18 1 1 NUM cana-4929 130 19 0 0 NUM cana-4929 130 20 0 0 NUM cana-4929 130 21 0 0 NUM cana-4929 130 22 0 0 NUM cana-4929 130 23 1 1 NUM cana-4929 130 24 ] ] PUNCT cana-4929 130 25 [ [ PUNCT cana-4929 130 26 𝑦𝑛+1 𝑦𝑛+1 PROPN cana-4929 130 27 𝑦𝑛+2 𝑦𝑛+2 NUM cana-4929 130 28 𝑦𝑛+3 𝑦𝑛+3 NUM cana-4929 130 29 𝑦𝑛+4 𝑦𝑛+4 NUM cana-4929 130 30 ] ] PUNCT cana-4929 130 31 = = PUNCT cana-4929 131 1 [ [ PUNCT cana-4929 131 2 0 0 NUM cana-4929 131 3 0 0 NUM cana-4929 131 4 0 0 NUM cana-4929 131 5 1 1 NUM cana-4929 131 6 0 0 NUM cana-4929 131 7 0 0 NUM cana-4929 131 8 0 0 NUM cana-4929 131 9 1 1 NUM cana-4929 131 10 0 0 NUM cana-4929 131 11 0 0 NUM cana-4929 131 12 0 0 NUM cana-4929 131 13 1 1 NUM cana-4929 131 14 0 0 NUM cana-4929 131 15 0 0 NUM cana-4929 131 16 0 0 NUM cana-4929 131 17 1 1 NUM cana-4929 131 18 ] ] PUNCT cana-4929 131 19 [ [ PUNCT cana-4929 131 20 π‘¦π‘›βˆ’3 π‘¦π‘›βˆ’3 PROPN cana-4929 131 21 π‘¦π‘›βˆ’2 π‘¦π‘›βˆ’2 PROPN cana-4929 131 22 π‘¦π‘›βˆ’1 π‘¦π‘›βˆ’1 PROPN cana-4929 131 23 𝑦𝑛 𝑦𝑛 VERB cana-4929 131 24 ] ] PUNCT cana-4929 131 25 + + PUNCT cana-4929 131 26 β„Ž β„Ž X cana-4929 131 27 ( ( PUNCT cana-4929 131 28 [ [ PUNCT cana-4929 131 29 89371 89371 NUM cana-4929 131 30 272160 272160 NUM cana-4929 131 31 103 103 NUM cana-4929 131 32 630 630 NUM cana-4929 131 33 38341 38341 NUM cana-4929 131 34 272160 272160 NUM cana-4929 131 35 59681 59681 NUM cana-4929 131 36 4354560 4354560 NUM cana-4929 131 37 6616 6616 NUM cana-4929 131 38 8505 8505 NUM cana-4929 131 39 208 208 NUM cana-4929 131 40 315 315 NUM cana-4929 131 41 1576 1576 NUM cana-4929 131 42 8505 8505 NUM cana-4929 131 43 1153 1153 NUM cana-4929 131 44 68040 68040 NUM cana-4929 131 45 921 921 NUM cana-4929 131 46 1120 1120 NUM cana-4929 131 47 81 81 NUM cana-4929 131 48 70 70 NUM cana-4929 131 49 711 711 NUM cana-4929 131 50 1120 1120 NUM cana-4929 131 51 411 411 NUM cana-4929 131 52 17920 17920 NUM cana-4929 131 53 8192 8192 NUM cana-4929 131 54 8505 8505 NUM cana-4929 131 55 416 416 NUM cana-4929 131 56 315 315 NUM cana-4929 131 57 8192 8192 NUM cana-4929 131 58 8505 8505 NUM cana-4929 131 59 3202 3202 NUM cana-4929 131 60 8505 8505 NUM cana-4929 131 61 ] ] PUNCT cana-4929 132 1 [ [ PUNCT cana-4929 132 2 𝑓𝑛+1 𝑓𝑛+1 PROPN cana-4929 132 3 𝑓𝑛+2 𝑓𝑛+2 X cana-4929 132 4 𝑓𝑛+3 𝑓𝑛+3 NUM cana-4929 132 5 𝑓𝑛+4 𝑓𝑛+4 PROPN cana-4929 132 6 ] ] PUNCT cana-4929 132 7 + + CCONJ cana-4929 132 8 [ [ PUNCT cana-4929 132 9 0 0 NUM cana-4929 132 10 0 0 NUM cana-4929 132 11 0 0 NUM cana-4929 132 12 1539551 1539551 NUM cana-4929 132 13 4354560 4354560 NUM cana-4929 132 14 0 0 SYM cana-4929 132 15 0 0 NUM cana-4929 132 16 0 0 NUM cana-4929 132 17 24463 24463 NUM cana-4929 132 18 68040 68040 NUM cana-4929 132 19 0 0 NUM cana-4929 132 20 0 0 SYM cana-4929 132 21 0 0 NUM cana-4929 132 22 6501 6501 NUM cana-4929 132 23 17920 17920 NUM cana-4929 132 24 0 0 NUM cana-4929 132 25 0 0 NUM cana-4929 132 26 0 0 NUM cana-4929 132 27 3202 3202 NUM cana-4929 132 28 8505 8505 NUM cana-4929 132 29 ] ] PUNCT cana-4929 132 30 [ [ PUNCT cana-4929 132 31 𝑓𝑛+3 𝑓𝑛+3 NUM cana-4929 132 32 𝑓𝑛+2 𝑓𝑛+2 NUM cana-4929 132 33 𝑓𝑛+1 𝑓𝑛+1 NOUN cana-4929 132 34 𝑓𝑛 𝑓𝑛 NOUN cana-4929 132 35 ] ] PUNCT cana-4929 132 36 ) ) PUNCT cana-4929 133 1 + + PUNCT cana-4929 133 2 β„Ž2 β„Ž2 NOUN cana-4929 133 3 ( ( PUNCT cana-4929 133 4 [ [ PUNCT cana-4929 133 5 βˆ’ βˆ’ PROPN cana-4929 133 6 31207 31207 NUM cana-4929 133 7 90720 90720 NUM cana-4929 133 8 βˆ’ βˆ’ NUM cana-4929 133 9 81 81 NUM cana-4929 133 10 320 320 NUM cana-4929 133 11 βˆ’ βˆ’ PROPN cana-4929 133 12 1243 1243 NUM cana-4929 133 13 18144 18144 NUM cana-4929 133 14 βˆ’ βˆ’ PROPN cana-4929 133 15 2237 2237 NUM cana-4929 133 16 725760 725760 NUM cana-4929 133 17 βˆ’ βˆ’ NOUN cana-4929 133 18 152 152 NUM cana-4929 133 19 567 567 NUM cana-4929 133 20 βˆ’ βˆ’ NUM cana-4929 133 21 2 2 NUM cana-4929 133 22 5 5 NUM cana-4929 133 23 βˆ’ βˆ’ PROPN cana-4929 133 24 248 248 NUM cana-4929 133 25 2835 2835 NUM cana-4929 133 26 βˆ’ βˆ’ NOUN cana-4929 133 27 43 43 NUM cana-4929 133 28 11340 11340 NUM cana-4929 133 29 βˆ’ βˆ’ NOUN cana-4929 133 30 279 279 NUM cana-4929 133 31 1120 1120 NUM cana-4929 133 32 βˆ’ βˆ’ NUM cana-4929 133 33 81 81 NUM cana-4929 133 34 320 320 NUM cana-4929 133 35 βˆ’ βˆ’ NUM cana-4929 133 36 183 183 NUM cana-4929 133 37 1120 1120 NUM cana-4929 133 38 βˆ’ βˆ’ NOUN cana-4929 133 39 9 9 NUM cana-4929 133 40 1792 1792 NUM cana-4929 133 41 βˆ’ βˆ’ PROPN cana-4929 133 42 512 512 NUM cana-4929 133 43 2835 2835 NUM cana-4929 133 44 0 0 NUM cana-4929 133 45 512 512 NUM cana-4929 133 46 2835 2835 NUM cana-4929 133 47 βˆ’ βˆ’ PROPN cana-4929 133 48 116 116 NUM cana-4929 133 49 2835 2835 NUM cana-4929 133 50 ] ] PUNCT cana-4929 133 51 [ [ PUNCT cana-4929 133 52 𝑔𝑛+1 𝑔𝑛+1 NUM cana-4929 133 53 𝑔𝑛+2 𝑔𝑛+2 NUM cana-4929 133 54 𝑔𝑛+3 𝑔𝑛+3 NOUN cana-4929 133 55 𝑔𝑛+4 𝑔𝑛+4 PROPN cana-4929 133 56 ] ] PUNCT cana-4929 134 1 + + CCONJ cana-4929 134 2 [ [ PUNCT cana-4929 134 3 0 0 NUM cana-4929 134 4 0 0 NUM cana-4929 134 5 0 0 NUM cana-4929 134 6 26051 26051 NUM cana-4929 134 7 725760 725760 NUM cana-4929 134 8 0 0 NUM cana-4929 134 9 0 0 NUM cana-4929 134 10 0 0 NUM cana-4929 134 11 421 421 NUM cana-4929 134 12 11340 11340 NUM cana-4929 134 13 0 0 SYM cana-4929 134 14 0 0 NUM cana-4929 134 15 0 0 NUM cana-4929 134 16 339 339 NUM cana-4929 134 17 8960 8960 NUM cana-4929 134 18 0 0 NUM cana-4929 134 19 0 0 NUM cana-4929 134 20 0 0 NUM cana-4929 134 21 116 116 NUM cana-4929 134 22 2835 2835 NUM cana-4929 134 23 ] ] PUNCT cana-4929 134 24 [ [ PUNCT cana-4929 134 25 π‘”π‘›βˆ’3 π‘”π‘›βˆ’3 NOUN cana-4929 134 26 π‘”π‘›βˆ’2 π‘”π‘›βˆ’2 ADP cana-4929 134 27 π‘”π‘›βˆ’1 π‘”π‘›βˆ’1 NOUN cana-4929 134 28 𝑔𝑛 𝑔𝑛 PROPN cana-4929 134 29 ] ] PUNCT cana-4929 134 30 ) ) PUNCT cana-4929 134 31 ( ( PUNCT cana-4929 134 32 2.4 2.4 NUM cana-4929 134 33 ) ) PUNCT cana-4929 134 34 3.0 3.0 NUM cana-4929 134 35 analysis analysis NOUN cana-4929 134 36 of of ADP cana-4929 134 37 the the DET cana-4929 134 38 block block NOUN cana-4929 134 39 methods method NOUN cana-4929 134 40 a a DET cana-4929 134 41 summary summary NOUN cana-4929 134 42 on on ADP cana-4929 134 43 the the DET cana-4929 134 44 order order NOUN cana-4929 134 45 , , PUNCT cana-4929 134 46 error error NOUN cana-4929 134 47 constant constant ADJ cana-4929 134 48 and and CCONJ cana-4929 134 49 the the DET cana-4929 134 50 convergence convergence NOUN cana-4929 134 51 of of ADP cana-4929 134 52 the the DET cana-4929 134 53 proposed propose VERB cana-4929 134 54 block block NOUN cana-4929 134 55 method method NOUN cana-4929 134 56 are be AUX cana-4929 134 57 given give VERB cana-4929 134 58 using use VERB cana-4929 134 59 the the DET cana-4929 134 60 technique technique NOUN cana-4929 134 61 presented present VERB cana-4929 134 62 in in ADP cana-4929 134 63 [ [ X cana-4929 134 64 1 1 NUM cana-4929 134 65 ] ] PUNCT cana-4929 134 66 . . PUNCT cana-4929 135 1 the the DET cana-4929 135 2 block block NOUN cana-4929 135 3 method method NOUN cana-4929 135 4 ( ( PUNCT cana-4929 135 5 2.4 2.4 NUM cana-4929 135 6 ) ) PUNCT cana-4929 135 7 is be AUX cana-4929 135 8 represented represent VERB cana-4929 135 9 by by ADP cana-4929 135 10 a a DET cana-4929 135 11 matrix matrix NOUN cana-4929 135 12 finite finite NOUN cana-4929 135 13 difference difference NOUN cana-4929 135 14 equation equation NOUN cana-4929 135 15 in in ADP cana-4929 135 16 block block NOUN cana-4929 135 17 form form NOUN cana-4929 135 18 as as ADP cana-4929 135 19 : : PUNCT cana-4929 135 20 𝐴(0)π‘Œπ‘š 𝐴(0)π‘Œπ‘š PROPN cana-4929 135 21 = = SYM cana-4929 135 22 𝐴(1)π‘¦π‘š 𝐴(1)π‘¦π‘š PROPN cana-4929 135 23 + + PROPN cana-4929 135 24 β„Ž{𝐡 β„Ž{𝐡 PROPN cana-4929 135 25 ( ( PUNCT cana-4929 135 26 0)πΉπ‘š 0)πΉπ‘š PROPN cana-4929 135 27 + + CCONJ cana-4929 135 28 𝐡 𝐡 PROPN cana-4929 135 29 ( ( PUNCT cana-4929 135 30 1)π‘“π‘š 1)π‘“π‘š PROPN cana-4929 135 31 } } PUNCT cana-4929 135 32 + + NUM cana-4929 135 33 β„Ž β„Ž PART cana-4929 135 34 2{𝐢(1)π‘”π‘š 2{𝐢(1)π‘”π‘š PROPN cana-4929 135 35 + + CCONJ cana-4929 135 36 𝐢 𝐢 PROPN cana-4929 135 37 ( ( PUNCT cana-4929 135 38 0)πΊπ‘š 0)πΊπ‘š PROPN cana-4929 135 39 } } PUNCT cana-4929 135 40 ( ( PUNCT cana-4929 135 41 3.1 3.1 NUM cana-4929 135 42 ) ) PUNCT cana-4929 135 43 where where SCONJ cana-4929 135 44 , , PUNCT cana-4929 135 45 π‘Œπ‘š π‘Œπ‘š PROPN cana-4929 135 46 = = PUNCT cana-4929 136 1 [ [ X cana-4929 136 2 𝑦𝑛+1 𝑦𝑛+1 NUM cana-4929 136 3 𝑦𝑛+2 𝑦𝑛+2 NUM cana-4929 136 4 𝑦𝑛+3 𝑦𝑛+3 NOUN cana-4929 136 5 𝑦𝑛+4]𝑇 𝑦𝑛+4]𝑇 VERB cana-4929 136 6 , , PUNCT cana-4929 136 7 π‘¦π‘š π‘¦π‘š ADP cana-4929 136 8 = = PUNCT cana-4929 137 1 [ [ X cana-4929 137 2 π‘¦π‘›βˆ’3 π‘¦π‘›βˆ’3 PROPN cana-4929 137 3 π‘¦π‘›βˆ’2 π‘¦π‘›βˆ’2 PROPN cana-4929 137 4 π‘¦π‘›βˆ’1 π‘¦π‘›βˆ’1 PROPN cana-4929 137 5 𝑦𝑛]𝑇 𝑦𝑛]𝑇 PROPN cana-4929 137 6 , , PUNCT cana-4929 137 7 πΉπ‘š πΉπ‘š PROPN cana-4929 137 8 = = PUNCT cana-4929 138 1 [ [ PUNCT cana-4929 138 2 𝑓𝑛+1 𝑓𝑛+1 PROPN cana-4929 138 3 𝑓𝑛+2 𝑓𝑛+2 X cana-4929 138 4 𝑓𝑛+3 𝑓𝑛+3 NUM cana-4929 138 5 𝑓𝑛+4]𝑇 𝑓𝑛+4]𝑇 ADJ cana-4929 138 6 , , PUNCT cana-4929 138 7 π‘“π‘š π‘“π‘š X cana-4929 138 8 = = PUNCT cana-4929 139 1 [ [ X cana-4929 139 2 π‘“π‘›βˆ’3 π‘“π‘›βˆ’3 NOUN cana-4929 139 3 π‘“π‘›βˆ’2 π‘“π‘›βˆ’2 VERB cana-4929 139 4 π‘“π‘›βˆ’1 π‘“π‘›βˆ’1 PROPN cana-4929 139 5 𝑓𝑛]𝑇 𝑓𝑛]𝑇 PROPN cana-4929 139 6 , , PUNCT cana-4929 139 7 π‘”π‘š π‘”π‘š NOUN cana-4929 139 8 = = PUNCT cana-4929 140 1 [ [ X cana-4929 140 2 π‘”π‘›βˆ’3 π‘”π‘›βˆ’3 NOUN cana-4929 140 3 π‘”π‘›βˆ’2 π‘”π‘›βˆ’2 ADP cana-4929 140 4 π‘”π‘›βˆ’1 π‘”π‘›βˆ’1 NOUN cana-4929 140 5 𝑔𝑛]𝑇 𝑔𝑛]𝑇 NOUN cana-4929 140 6 and and CCONJ cana-4929 140 7 πΊπ‘š πΊπ‘š PROPN cana-4929 140 8 = = SYM cana-4929 141 1 [ [ X cana-4929 141 2 𝑔𝑛+1 𝑔𝑛+1 NUM cana-4929 141 3 𝑔𝑛+2 𝑔𝑛+2 NOUN cana-4929 141 4 𝑔𝑛+3 𝑔𝑛+3 NOUN cana-4929 141 5 𝑔𝑛+4]𝑇 𝑔𝑛+4]𝑇 NOUN cana-4929 141 6 and and CCONJ cana-4929 141 7 the the DET cana-4929 141 8 matrices matrix NOUN cana-4929 141 9 𝐴(1 𝐴(1 X cana-4929 141 10 ) ) PUNCT cana-4929 141 11 , , PUNCT cana-4929 141 12 𝐴(0 𝐴(0 NOUN cana-4929 141 13 ) ) PUNCT cana-4929 141 14 , , PUNCT cana-4929 141 15 𝐡(1 𝐡(1 NUM cana-4929 141 16 ) ) PUNCT cana-4929 141 17 , , PUNCT cana-4929 141 18 𝐡(0 𝐡(0 NUM cana-4929 141 19 ) ) PUNCT cana-4929 141 20 , , PUNCT cana-4929 141 21 𝐢(0)and 𝐢(0)and NOUN cana-4929 141 22 𝐢(1 𝐢(1 NUM cana-4929 141 23 ) ) PUNCT cana-4929 141 24 are be AUX cana-4929 141 25 4 4 NUM cana-4929 141 26 by by ADP cana-4929 141 27 4 4 NUM cana-4929 141 28 matrices matrix NOUN cana-4929 141 29 . . PUNCT cana-4929 142 1 3.1 3.1 NUM cana-4929 142 2 zero zero NUM cana-4929 142 3 - - PUNCT cana-4929 142 4 stability stability NOUN cana-4929 142 5 as as ADP cana-4929 142 6 in in ADP cana-4929 142 7 ( ( PUNCT cana-4929 142 8 12 12 NUM cana-4929 142 9 ) ) PUNCT cana-4929 142 10 , , PUNCT cana-4929 142 11 the the DET cana-4929 142 12 roots root NOUN cana-4929 142 13 of of ADP cana-4929 142 14 the the DET cana-4929 142 15 first first ADJ cana-4929 142 16 characteristics characteristic NOUN cana-4929 142 17 polynomial polynomial ADJ cana-4929 142 18 , , PUNCT cana-4929 142 19 𝜌(πœ† 𝜌(πœ† NOUN cana-4929 142 20 ) ) PUNCT cana-4929 142 21 , , PUNCT cana-4929 142 22 defined define VERB cana-4929 142 23 by by ADP cana-4929 142 24 : : PUNCT cana-4929 142 25 𝜌(πœ† 𝜌(πœ† NUM cana-4929 142 26 ) ) PUNCT cana-4929 142 27 = = SYM cana-4929 142 28 |πœ†π΄(0 |πœ†π΄(0 NOUN cana-4929 142 29 ) ) PUNCT cana-4929 142 30 βˆ’ βˆ’ PROPN cana-4929 143 1 𝐴(1)| 𝐴(1)| NOUN cana-4929 143 2 satisfies satisfy VERB cana-4929 143 3 |π‘Ÿ| |π‘Ÿ| ADP cana-4929 143 4 ≀ ≀ ADV cana-4929 143 5 1 1 NUM cana-4929 143 6 , , PUNCT cana-4929 143 7 are be AUX cana-4929 143 8 , , PUNCT cana-4929 143 9 |π‘Ÿ| |π‘Ÿ| X cana-4929 143 10 = = SYM cana-4929 143 11 0 0 NUM cana-4929 143 12 , , PUNCT cana-4929 143 13 0 0 NUM cana-4929 143 14 , , PUNCT cana-4929 143 15 0 0 NUM cana-4929 143 16 , , PUNCT cana-4929 143 17 or or CCONJ cana-4929 143 18 1 1 NUM cana-4929 143 19 . . PUNCT cana-4929 144 1 therefore therefore ADV cana-4929 144 2 , , PUNCT cana-4929 144 3 the the DET cana-4929 144 4 new new ADJ cana-4929 144 5 block block NOUN cana-4929 144 6 method method NOUN cana-4929 144 7 is be AUX cana-4929 144 8 zero zero NUM cana-4929 144 9 - - PUNCT cana-4929 144 10 stable stable ADJ cana-4929 144 11 . . PUNCT cana-4929 145 1 3.2 3.2 NUM cana-4929 145 2 order order NOUN cana-4929 145 3 and and CCONJ cana-4929 145 4 error error NOUN cana-4929 145 5 constants constant NOUN cana-4929 145 6 the the DET cana-4929 145 7 new new ADJ cana-4929 145 8 block block NOUN cana-4929 145 9 method method NOUN cana-4929 145 10 is be AUX cana-4929 145 11 of of ADP cana-4929 145 12 uniform uniform ADJ cana-4929 145 13 order order NOUN cana-4929 145 14 𝑝 𝑝 NOUN cana-4929 146 1 = = PUNCT cana-4929 147 1 [ [ X cana-4929 147 2 10 10 NUM cana-4929 147 3 10 10 NUM cana-4929 147 4 10 10 NUM cana-4929 147 5 10]𝑇 10]𝑇 NUM cana-4929 147 6 , , PUNCT cana-4929 147 7 with with ADP cana-4929 147 8 an an DET cana-4929 147 9 error error NOUN cana-4929 147 10 constant constant ADJ cana-4929 147 11 of of ADP cana-4929 147 12 𝐢𝑝+1 𝐢𝑝+1 NOUN cana-4929 147 13 = = PUNCT cana-4929 147 14 [ [ PUNCT cana-4929 147 15 551 551 NUM cana-4929 147 16 314344800 314344800 NUM cana-4929 147 17 4 4 NUM cana-4929 147 18 1964655 1964655 NUM cana-4929 147 19 1 1 NUM cana-4929 147 20 431200 431200 NUM cana-4929 147 21 8 8 NUM cana-4929 147 22 1964655 1964655 NUM cana-4929 147 23 ] ] PUNCT cana-4929 147 24 𝑇 𝑇 PROPN cana-4929 147 25 3.3 3.3 NUM cana-4929 147 26 consistency consistency NOUN cana-4929 147 27 by by ADP cana-4929 147 28 definition definition NOUN cana-4929 147 29 , , PUNCT cana-4929 147 30 the the DET cana-4929 147 31 order order NOUN cana-4929 147 32 is be AUX cana-4929 147 33 𝑝 𝑝 NUM cana-4929 147 34 β‰₯ β‰₯ NUM cana-4929 147 35 1 1 NUM cana-4929 147 36 implies imply VERB cana-4929 147 37 that that SCONJ cana-4929 147 38 the the DET cana-4929 147 39 new new ADJ cana-4929 147 40 block block NOUN cana-4929 147 41 method method NOUN cana-4929 147 42 is be AUX cana-4929 147 43 consistence consistence NOUN cana-4929 147 44 , , PUNCT cana-4929 147 45 see see VERB cana-4929 147 46 [ [ X cana-4929 147 47 1 1 NUM cana-4929 147 48 ] ] PUNCT cana-4929 147 49 . . PUNCT cana-4929 148 1 3.4 3.4 NUM cana-4929 148 2 absolute absolute ADJ cana-4929 148 3 stability stability NOUN cana-4929 148 4 region region NOUN cana-4929 148 5 the the DET cana-4929 148 6 absolute absolute ADJ cana-4929 148 7 stability stability NOUN cana-4929 148 8 region region NOUN cana-4929 148 9 of of ADP cana-4929 148 10 the the DET cana-4929 148 11 new new ADJ cana-4929 148 12 block block NOUN cana-4929 148 13 method method NOUN cana-4929 148 14 is be AUX cana-4929 148 15 obtained obtain VERB cana-4929 148 16 using use VERB cana-4929 148 17 [ [ X cana-4929 148 18 13 13 NUM cana-4929 148 19 ] ] PUNCT cana-4929 148 20 . . PUNCT cana-4929 149 1 the the DET cana-4929 149 2 method method NOUN cana-4929 149 3 , , PUNCT cana-4929 149 4 ( ( PUNCT cana-4929 149 5 2.4 2.4 NUM cana-4929 149 6 ) ) PUNCT cana-4929 149 7 is be AUX cana-4929 149 8 reformulated reformulate VERB cana-4929 149 9 as as ADP cana-4929 149 10 a a DET cana-4929 149 11 general general ADJ cana-4929 149 12 linear linear NOUN cana-4929 149 13 method method NOUN cana-4929 149 14 and and CCONJ cana-4929 149 15 is be AUX cana-4929 149 16 plotted plot VERB cana-4929 149 17 using use VERB cana-4929 149 18 the the DET cana-4929 149 19 matlab matlab PROPN cana-4929 149 20 program program NOUN cana-4929 149 21 as as SCONJ cana-4929 149 22 revealed reveal VERB cana-4929 149 23 in in ADP cana-4929 149 24 the the DET cana-4929 149 25 figure figure NOUN cana-4929 149 26 1 1 NUM cana-4929 149 27 to to PART cana-4929 149 28 be be AUX cana-4929 149 29 a a DET cana-4929 149 30 - - PUNCT cana-4929 149 31 stable stable ADJ cana-4929 149 32 . . PUNCT cana-4929 150 1 communications communication NOUN cana-4929 150 2 on on ADP cana-4929 150 3 applied apply VERB cana-4929 150 4 nonlinear nonlinear ADJ cana-4929 150 5 analysis analysis NOUN cana-4929 150 6 issn issn NOUN cana-4929 150 7 : : PUNCT cana-4929 150 8 1074 1074 NUM cana-4929 150 9 - - PUNCT cana-4929 150 10 133x 133x NUM cana-4929 150 11 vol vol VERB cana-4929 150 12 32 32 NUM cana-4929 150 13 no no NOUN cana-4929 150 14 . . PUNCT cana-4929 151 1 10s 10 NOUN cana-4929 151 2 ( ( PUNCT cana-4929 151 3 2025 2025 NUM cana-4929 151 4 ) ) PUNCT cana-4929 151 5 964 964 NUM cana-4929 152 1 https://internationalpubls.com https://internationalpubls.com X cana-4929 152 2 figure figure NOUN cana-4929 152 3 1 1 NUM cana-4929 152 4 : : PUNCT cana-4929 152 5 region region NOUN cana-4929 152 6 of of ADP cana-4929 152 7 absolute absolute ADJ cana-4929 152 8 stability stability NOUN cana-4929 152 9 of of ADP cana-4929 152 10 the the DET cana-4929 152 11 new new ADJ cana-4929 152 12 block block NOUN cana-4929 152 13 method method NOUN cana-4929 152 14 3.5 3.5 NUM cana-4929 152 15 convergence convergence NOUN cana-4929 152 16 according accord VERB cana-4929 152 17 to to ADP cana-4929 152 18 [ [ X cana-4929 152 19 1 1 NUM cana-4929 152 20 ] ] PUNCT cana-4929 152 21 , , PUNCT cana-4929 152 22 the the DET cana-4929 152 23 new new ADJ cana-4929 152 24 block block NOUN cana-4929 152 25 method method NOUN cana-4929 152 26 is be AUX cana-4929 152 27 convergent convergent ADJ cana-4929 152 28 , , PUNCT cana-4929 152 29 since since SCONJ cana-4929 152 30 it it PRON cana-4929 152 31 ’s ’ VERB cana-4929 152 32 consistent consistent ADJ cana-4929 152 33 and and CCONJ cana-4929 152 34 zero zero NUM cana-4929 152 35 - - PUNCT cana-4929 152 36 stable stable ADJ cana-4929 152 37 . . PUNCT cana-4929 153 1 4.0 4.0 NUM cana-4929 153 2 numerical numerical ADJ cana-4929 153 3 experiments experiment NOUN cana-4929 153 4 to to PART cana-4929 153 5 demonstrate demonstrate VERB cana-4929 153 6 the the DET cana-4929 153 7 performance performance NOUN cana-4929 153 8 of of ADP cana-4929 153 9 the the DET cana-4929 153 10 new new ADJ cana-4929 153 11 block block NOUN cana-4929 153 12 method method NOUN cana-4929 153 13 , , PUNCT cana-4929 153 14 we we PRON cana-4929 153 15 consider consider VERB cana-4929 153 16 two two NUM cana-4929 153 17 linear linear ADJ cana-4929 153 18 stiff stiff ADJ cana-4929 153 19 ordinary ordinary ADJ cana-4929 153 20 differential differential ADJ cana-4929 153 21 equations equation NOUN cana-4929 153 22 of of ADP cana-4929 153 23 the the DET cana-4929 153 24 form form NOUN cana-4929 153 25 ( ( PUNCT cana-4929 153 26 1.1 1.1 NUM cana-4929 153 27 ) ) PUNCT cana-4929 153 28 . . PUNCT cana-4929 154 1 we we PRON cana-4929 154 2 present present VERB cana-4929 154 3 the the DET cana-4929 154 4 calculated calculated ADJ cana-4929 154 5 absolute absolute ADJ cana-4929 154 6 errors error NOUN cana-4929 154 7 in in ADP cana-4929 154 8 tables table NOUN cana-4929 154 9 and and CCONJ cana-4929 154 10 the the DET cana-4929 154 11 solution solution NOUN cana-4929 154 12 curves curve NOUN cana-4929 154 13 are be AUX cana-4929 154 14 shown show VERB cana-4929 154 15 in in ADP cana-4929 154 16 figures figure NOUN cana-4929 154 17 . . PUNCT cana-4929 155 1 example example NOUN cana-4929 155 2 1 1 NUM cana-4929 155 3 : : PUNCT cana-4929 155 4 this this DET cana-4929 155 5 problem problem NOUN cana-4929 155 6 is be AUX cana-4929 155 7 taken take VERB cana-4929 155 8 from from ADP cana-4929 155 9 [ [ X cana-4929 155 10 1 1 NUM cana-4929 155 11 ] ] PUNCT cana-4929 155 12 : : PUNCT cana-4929 155 13 on on ADP cana-4929 155 14 the the DET cana-4929 155 15 range range NOUN cana-4929 155 16 , , PUNCT cana-4929 155 17 0 0 NUM cana-4929 155 18 ≀ ≀ NUM cana-4929 155 19 π‘₯ π‘₯ DET cana-4929 155 20 ≀ ≀ NUM cana-4929 155 21 1 1 NUM cana-4929 155 22 and and CCONJ cana-4929 155 23 a a DET cana-4929 155 24 step step NOUN cana-4929 155 25 size size NOUN cana-4929 155 26 , , PUNCT cana-4929 156 1 β„Ž β„Ž X cana-4929 156 2 = = NOUN cana-4929 156 3 0.1 0.1 NUM cana-4929 156 4 : : PUNCT cana-4929 156 5 𝑦′ 𝑦′ X cana-4929 156 6 = = SYM cana-4929 156 7 βˆ’1000𝑦 βˆ’1000𝑦 PROPN cana-4929 156 8 + + NUM cana-4929 156 9 999π‘’βˆ’π‘₯ 999π‘’βˆ’π‘₯ NOUN cana-4929 156 10 , , PUNCT cana-4929 156 11 𝑦(0 𝑦(0 PROPN cana-4929 156 12 ) ) PUNCT cana-4929 156 13 = = SYM cana-4929 156 14 1 1 NUM cana-4929 156 15 with with ADP cana-4929 156 16 exact exact ADJ cana-4929 156 17 solution solution NOUN cana-4929 156 18 : : PUNCT cana-4929 156 19 𝑦(π‘₯ 𝑦(π‘₯ NUM cana-4929 156 20 ) ) PUNCT cana-4929 156 21 = = PUNCT cana-4929 157 1 π‘’βˆ’π‘₯. π‘’βˆ’π‘₯. PROPN cana-4929 157 2 example example NOUN cana-4929 157 3 2 2 NUM cana-4929 157 4 : : PUNCT cana-4929 157 5 this this DET cana-4929 157 6 problem problem NOUN cana-4929 157 7 is be AUX cana-4929 157 8 taken take VERB cana-4929 157 9 from from ADP cana-4929 157 10 [ [ X cana-4929 157 11 2 2 NUM cana-4929 157 12 ] ] PUNCT cana-4929 157 13 : : PUNCT cana-4929 157 14 𝑦′(π‘₯ 𝑦′(π‘₯ X cana-4929 157 15 ) ) PUNCT cana-4929 157 16 = = PRON cana-4929 158 1 [ [ PUNCT cana-4929 158 2 21 21 NUM cana-4929 158 3 19 19 NUM cana-4929 158 4 βˆ’21 βˆ’21 NUM cana-4929 158 5 19 19 NUM cana-4929 158 6 βˆ’21 βˆ’21 NOUN cana-4929 158 7 20 20 NUM cana-4929 158 8 40 40 NUM cana-4929 158 9 βˆ’40 βˆ’40 NOUN cana-4929 158 10 40 40 NUM cana-4929 158 11 ] ] PUNCT cana-4929 158 12 [ [ PUNCT cana-4929 158 13 𝑦1(π‘₯ 𝑦1(π‘₯ X cana-4929 158 14 ) ) PUNCT cana-4929 158 15 𝑦2(π‘₯ 𝑦2(π‘₯ NUM cana-4929 158 16 ) ) PUNCT cana-4929 158 17 𝑦3(π‘₯ 𝑦3(π‘₯ NUM cana-4929 158 18 ) ) PUNCT cana-4929 158 19 ] ] PUNCT cana-4929 158 20 , , PUNCT cana-4929 158 21 𝑦(0 𝑦(0 PROPN cana-4929 158 22 ) ) PUNCT cana-4929 158 23 = = PUNCT cana-4929 159 1 [ [ PUNCT cana-4929 159 2 1 1 NUM cana-4929 159 3 0 0 NUM cana-4929 159 4 βˆ’1 βˆ’1 NOUN cana-4929 159 5 ] ] PUNCT cana-4929 159 6 the the DET cana-4929 159 7 exact exact ADJ cana-4929 159 8 solutions solution NOUN cana-4929 159 9 for for ADP cana-4929 159 10 0 0 NUM cana-4929 159 11 ≀ ≀ NUM cana-4929 159 12 π‘₯ π‘₯ DET cana-4929 159 13 ≀ ≀ NUM cana-4929 159 14 10 10 NUM cana-4929 159 15 , , PUNCT cana-4929 159 16 are be AUX cana-4929 159 17 : : PUNCT cana-4929 159 18 𝑦(π‘₯ 𝑦(π‘₯ X cana-4929 159 19 ) ) PUNCT cana-4929 159 20 = = NOUN cana-4929 159 21 [ [ PUNCT cana-4929 159 22 π‘’βˆ’π‘₯ π‘’βˆ’π‘₯ NOUN cana-4929 159 23 βˆ’π‘’βˆ’π‘₯ βˆ’π‘’βˆ’π‘₯ NOUN cana-4929 159 24 ] ] PUNCT cana-4929 159 25 result result NOUN cana-4929 159 26 : : PUNCT cana-4929 159 27 table table NOUN cana-4929 159 28 1 1 NUM cana-4929 159 29 : : PUNCT cana-4929 159 30 errors error NOUN cana-4929 159 31 in in ADP cana-4929 159 32 new new ADJ cana-4929 159 33 block block NOUN cana-4929 159 34 method method NOUN cana-4929 159 35 and and CCONJ cana-4929 159 36 in in ADP cana-4929 159 37 [ [ X cana-4929 159 38 1 1 NUM cana-4929 159 39 ] ] PUNCT cana-4929 159 40 with with ADP cana-4929 159 41 exact exact ADJ cana-4929 159 42 solution solution NOUN cana-4929 159 43 : : PUNCT cana-4929 159 44 example example NOUN cana-4929 159 45 1 1 NUM cana-4929 159 46 x x NOUN cana-4929 159 47 error error NOUN cana-4929 159 48 in in ADP cana-4929 159 49 [ [ X cana-4929 159 50 1 1 NUM cana-4929 159 51 ] ] PUNCT cana-4929 159 52 error error NOUN cana-4929 159 53 in in ADP cana-4929 159 54 new new ADJ cana-4929 159 55 block block NOUN cana-4929 159 56 method method NOUN cana-4929 159 57 0 0 NUM cana-4929 159 58 0 0 NUM cana-4929 159 59 0 0 NUM cana-4929 159 60 0.100000000000000 0.100000000000000 NUM cana-4929 159 61 1.88737914186277e-15 1.88737914186277e-15 NUM cana-4929 159 62 0 0 NUM cana-4929 159 63 0.200000000000000 0.200000000000000 NUM cana-4929 159 64 2.10942374678780e-15 2.10942374678780e-15 NUM cana-4929 159 65 0 0 NUM cana-4929 159 66 0.300000000000000 0.300000000000000 NUM cana-4929 159 67 8.88178419700125e-16 8.88178419700125e-16 NUM cana-4929 159 68 1.11022302462516e-16 1.11022302462516e-16 NUM cana-4929 159 69 communications communication NOUN cana-4929 159 70 on on ADP cana-4929 159 71 applied apply VERB cana-4929 159 72 nonlinear nonlinear ADJ cana-4929 159 73 analysis analysis NOUN cana-4929 159 74 issn issn NOUN cana-4929 159 75 : : PUNCT cana-4929 159 76 1074 1074 NUM cana-4929 159 77 - - PUNCT cana-4929 159 78 133x 133x NUM cana-4929 159 79 vol vol VERB cana-4929 159 80 32 32 NUM cana-4929 159 81 no no NOUN cana-4929 159 82 . . PUNCT cana-4929 160 1 10s 10 NOUN cana-4929 160 2 ( ( PUNCT cana-4929 160 3 2025 2025 NUM cana-4929 160 4 ) ) PUNCT cana-4929 160 5 965 965 NUM cana-4929 160 6 https://internationalpubls.com https://internationalpubls.com X cana-4929 160 7 0.400000000000000 0.400000000000000 NUM cana-4929 160 8 1.55431223447522e-15 1.55431223447522e-15 NUM cana-4929 160 9 1.11022302462516e-16 1.11022302462516e-16 NUM cana-4929 160 10 0.500000000000000 0.500000000000000 NUM cana-4929 160 11 9.99200722162641e-16 9.99200722162641e-16 NUM cana-4929 160 12 1.11022302462516e-16 1.11022302462516e-16 NUM cana-4929 160 13 0.600000000000000 0.600000000000000 NUM cana-4929 160 14 1.22124532708767e-15 1.22124532708767e-15 NUM cana-4929 160 15 0 0 NUM cana-4929 160 16 0.700000000000000 0.700000000000000 NUM cana-4929 160 17 1.49880108324396e-15 1.49880108324396e-15 NUM cana-4929 160 18 0 0 NUM cana-4929 160 19 0.800000000000000 0.800000000000000 NUM cana-4929 160 20 9.99200722162641e-16 9.99200722162641e-16 NUM cana-4929 160 21 0 0 NUM cana-4929 160 22 0.900000000000000 0.900000000000000 NUM cana-4929 160 23 4.99600361081320e-16 4.99600361081320e-16 NOUN cana-4929 160 24 0 0 NUM cana-4929 160 25 1 1 NUM cana-4929 160 26 8.32667268468867e-16 8.32667268468867e-16 NUM cana-4929 160 27 1.11022302462516e-16 1.11022302462516e-16 NUM cana-4929 160 28 figure figure NOUN cana-4929 160 29 2 2 NUM cana-4929 160 30 : : PUNCT cana-4929 160 31 showing show VERB cana-4929 160 32 the the DET cana-4929 160 33 new new ADJ cana-4929 160 34 block block NOUN cana-4929 160 35 method method NOUN cana-4929 160 36 with with ADP cana-4929 160 37 exact exact ADJ cana-4929 160 38 solutions solution NOUN cana-4929 160 39 : : PUNCT cana-4929 160 40 example example NOUN cana-4929 160 41 1 1 NUM cana-4929 160 42 table table NOUN cana-4929 160 43 2 2 NUM cana-4929 160 44 : : PUNCT cana-4929 160 45 comparison comparison NOUN cana-4929 160 46 of of ADP cana-4929 160 47 error error NOUN cana-4929 160 48 in in ADP cana-4929 160 49 the the DET cana-4929 160 50 new new ADJ cana-4929 160 51 block block NOUN cana-4929 160 52 method method NOUN cana-4929 160 53 with with ADP cana-4929 160 54 the the DET cana-4929 160 55 exact exact ADJ cana-4929 160 56 solution solution NOUN cana-4929 160 57 in in ADP cana-4929 160 58 example example NOUN cana-4929 160 59 2 2 NUM cana-4929 160 60 x x NOUN cana-4929 160 61 error error NOUN cana-4929 160 62 of of ADP cana-4929 160 63 y1 y1 ADJ cana-4929 160 64 error error NOUN cana-4929 160 65 of of ADP cana-4929 160 66 y2 y2 NOUN cana-4929 160 67 error error NOUN cana-4929 160 68 of of ADP cana-4929 160 69 y3 y3 NOUN cana-4929 160 70 0 0 NUM cana-4929 160 71 0 0 NUM cana-4929 160 72 0 0 NUM cana-4929 160 73 0 0 NUM cana-4929 161 1 0.1000 0.1000 NUM cana-4929 161 2 0 0 NUM cana-4929 161 3 0.0260987027814653 0.0260987027814653 NUM cana-4929 161 4 0.00206310803809157 0.00206310803809157 NUM cana-4929 161 5 0.2000 0.2000 NUM cana-4929 161 6 0.0122373815672981 0.0122373815672981 NUM cana-4929 161 7 0.000719747107311319 0.000719747107311319 NUM cana-4929 161 8 0.00107577664370589 0.00107577664370589 NUM cana-4929 161 9 0.3000 0.3000 NUM cana-4929 161 10 0.000387854389990783 0.000387854389990783 NUM cana-4929 161 11 3.24631645365336e-06 3.24631645365336e-06 NUM cana-4929 161 12 5.40015326179073e-05 5.40015326179073e-05 NUM cana-4929 161 13 0.4000 0.4000 NUM cana-4929 161 14 6.54313444264920e-06 6.54313444264920e-06 NUM cana-4929 161 15 9.83441426322118e-07 9.83441426322118e-07 NUM cana-4929 161 16 9.66591002920572e-07 9.66591002920572e-07 NUM cana-4929 161 17 0.5000 0.5000 NUM cana-4929 161 18 9.51042133906510e-07 9.51042133906510e-07 NUM cana-4929 161 19 3.83220316313437e-08 3.83220316313437e-08 NUM cana-4929 161 20 3.02159582896780e-08 3.02159582896780e-08 NUM cana-4929 161 21 communications communication NOUN cana-4929 161 22 on on ADP cana-4929 161 23 applied apply VERB cana-4929 161 24 nonlinear nonlinear ADJ cana-4929 161 25 analysis analysis NOUN cana-4929 161 26 issn issn NOUN cana-4929 161 27 : : PUNCT cana-4929 161 28 1074 1074 NUM cana-4929 161 29 - - PUNCT cana-4929 161 30 133x 133x NUM cana-4929 161 31 vol vol VERB cana-4929 161 32 32 32 NUM cana-4929 161 33 no no NOUN cana-4929 161 34 . . PUNCT cana-4929 162 1 10s 10 NOUN cana-4929 162 2 ( ( PUNCT cana-4929 162 3 2025 2025 NUM cana-4929 162 4 ) ) PUNCT cana-4929 162 5 966 966 NUM cana-4929 162 6 https://internationalpubls.com https://internationalpubls.com X cana-4929 162 7 0.6000 0.6000 NUM cana-4929 162 8 3.64403553165804e-08 3.64403553165804e-08 NUM cana-4929 162 9 4.77281492106130e-10 4.77281492106130e-10 NUM cana-4929 163 1 2.72539843546488e-09 2.72539843546488e-09 NUM cana-4929 163 2 0.7000 0.7000 NUM cana-4929 163 3 4.43050762743980e-10 4.43050762743980e-10 NUM cana-4929 163 4 2.67659783226293e-11 2.67659783226293e-11 NUM cana-4929 163 5 8.80135840652426e-11 8.80135840652426e-11 NUM cana-4929 163 6 0.8000 0.8000 NUM cana-4929 163 7 2.69109318162819e-11 2.69109318162819e-11 NUM cana-4929 163 8 1.81354931072519e-12 1.81354931072519e-12 NUM cana-4929 163 9 5.81808897278642e-13 5.81808897278642e-13 NUM cana-4929 163 10 0.9000 0.9000 NUM cana-4929 163 11 1.84649517898094e-12 1.84649517898094e-12 NUM cana-4929 163 12 6.90142387682613e-14 6.90142387682613e-14 NUM cana-4929 163 13 8.58072112004154e-14 8.58072112004154e-14 NUM cana-4929 163 14 1 1 NUM cana-4929 163 15 3.18495230189342e-14 3.18495230189342e-14 NUM cana-4929 163 16 1.68198788230711e-14 1.68198788230711e-14 NUM cana-4929 163 17 4.72864743371380e-15 4.72864743371380e-15 NUM cana-4929 163 18 figure figure NOUN cana-4929 163 19 3 3 NUM cana-4929 163 20 : : PUNCT cana-4929 163 21 showing show VERB cana-4929 163 22 the the DET cana-4929 163 23 new new ADJ cana-4929 163 24 block block NOUN cana-4929 163 25 method method NOUN cana-4929 163 26 with with ADP cana-4929 163 27 exact exact ADJ cana-4929 163 28 solutions solution NOUN cana-4929 163 29 : : PUNCT cana-4929 163 30 example example NOUN cana-4929 163 31 2 2 NUM cana-4929 163 32 5 5 NUM cana-4929 163 33 . . PUNCT cana-4929 163 34 discussion discussion NOUN cana-4929 163 35 of of ADP cana-4929 163 36 results result NOUN cana-4929 163 37 the the DET cana-4929 163 38 confirmation confirmation NOUN cana-4929 163 39 of of ADP cana-4929 163 40 the the DET cana-4929 163 41 region region NOUN cana-4929 163 42 of of ADP cana-4929 163 43 absolute absolute ADJ cana-4929 163 44 stability stability NOUN cana-4929 163 45 is be AUX cana-4929 163 46 presented present VERB cana-4929 163 47 in in ADP cana-4929 163 48 figure figure NOUN cana-4929 163 49 1 1 NUM cana-4929 163 50 . . PUNCT cana-4929 164 1 the the DET cana-4929 164 2 region region NOUN cana-4929 164 3 containing contain VERB cana-4929 164 4 the the DET cana-4929 164 5 entire entire ADJ cana-4929 164 6 left left ADJ cana-4929 164 7 - - PUNCT cana-4929 164 8 half half NOUN cana-4929 164 9 plane plane NOUN cana-4929 164 10 , , PUNCT cana-4929 164 11 reveals reveal VERB cana-4929 164 12 that that SCONJ cana-4929 164 13 the the DET cana-4929 164 14 new new ADJ cana-4929 164 15 block block NOUN cana-4929 164 16 method method NOUN cana-4929 164 17 is be AUX cana-4929 164 18 a a DET cana-4929 164 19 - - PUNCT cana-4929 164 20 stable stable ADJ cana-4929 164 21 , , PUNCT cana-4929 164 22 thereby thereby ADV cana-4929 164 23 ensuring ensure VERB cana-4929 164 24 unconditional unconditional ADJ cana-4929 164 25 stability stability NOUN cana-4929 164 26 for for ADP cana-4929 164 27 all all DET cana-4929 164 28 step step NOUN cana-4929 164 29 sizes size NOUN cana-4929 164 30 . . PUNCT cana-4929 165 1 the the DET cana-4929 165 2 region region NOUN cana-4929 165 3 of of ADP cana-4929 165 4 absolute absolute ADJ cana-4929 165 5 stability stability NOUN cana-4929 165 6 is be AUX cana-4929 165 7 larger large ADJ cana-4929 165 8 than than ADP cana-4929 165 9 that that PRON cana-4929 165 10 of of ADP cana-4929 165 11 the the DET cana-4929 165 12 fourth fourth ADJ cana-4929 165 13 - - PUNCT cana-4929 165 14 order order NOUN cana-4929 165 15 rungekutta rungekutta NOUN cana-4929 165 16 ( ( PUNCT cana-4929 165 17 rk4 rk4 NOUN cana-4929 165 18 ) ) PUNCT cana-4929 165 19 method method NOUN cana-4929 165 20 , , PUNCT cana-4929 165 21 making make VERB cana-4929 165 22 it it PRON cana-4929 165 23 more more ADV cana-4929 165 24 stable stable ADJ cana-4929 165 25 for for ADP cana-4929 165 26 a a DET cana-4929 165 27 wider wide ADJ cana-4929 165 28 range range NOUN cana-4929 165 29 of of ADP cana-4929 165 30 problems problem NOUN cana-4929 165 31 . . PUNCT cana-4929 166 1 table table NOUN cana-4929 166 2 1 1 NUM cana-4929 166 3 shows show VERB cana-4929 166 4 the the DET cana-4929 166 5 comparisons comparison NOUN cana-4929 166 6 between between ADP cana-4929 166 7 the the DET cana-4929 166 8 error error NOUN cana-4929 166 9 in in ADP cana-4929 166 10 the the DET cana-4929 166 11 proposed propose VERB cana-4929 166 12 methods method NOUN cana-4929 166 13 with with ADP cana-4929 166 14 the the DET cana-4929 166 15 presented present VERB cana-4929 166 16 in in ADP cana-4929 166 17 [ [ X cana-4929 166 18 1 1 NUM cana-4929 166 19 ] ] PUNCT cana-4929 166 20 . . PUNCT cana-4929 167 1 with with ADP cana-4929 167 2 the the DET cana-4929 167 3 same same ADJ cana-4929 167 4 step step NOUN cana-4929 167 5 number number NOUN cana-4929 167 6 and and CCONJ cana-4929 167 7 step step NOUN cana-4929 167 8 size size NOUN cana-4929 167 9 , , PUNCT cana-4929 167 10 the the DET cana-4929 167 11 new new ADJ cana-4929 167 12 method method NOUN cana-4929 167 13 has have VERB cana-4929 167 14 slightly slightly ADV cana-4929 167 15 more more ADJ cana-4929 167 16 error error NOUN cana-4929 167 17 stability stability NOUN cana-4929 167 18 compared compare VERB cana-4929 167 19 to to ADP cana-4929 167 20 the the DET cana-4929 167 21 error error NOUN cana-4929 167 22 in in ADP cana-4929 167 23 [ [ X cana-4929 167 24 1 1 NUM cana-4929 167 25 ] ] PUNCT cana-4929 167 26 . . PUNCT cana-4929 168 1 the the DET cana-4929 168 2 numerical numerical ADJ cana-4929 168 3 and and CCONJ cana-4929 168 4 exact exact ADJ cana-4929 168 5 solutions solution NOUN cana-4929 168 6 for for ADP cana-4929 168 7 example example NOUN cana-4929 168 8 1 1 NUM cana-4929 168 9 are be AUX cana-4929 168 10 presented present VERB cana-4929 168 11 in in ADP cana-4929 168 12 figure figure NOUN cana-4929 168 13 2 2 NUM cana-4929 168 14 , , PUNCT cana-4929 168 15 with with ADP cana-4929 168 16 the the DET cana-4929 168 17 numerical numerical ADJ cana-4929 168 18 solution solution NOUN cana-4929 168 19 competing compete VERB cana-4929 168 20 favorably favorably ADV cana-4929 168 21 with with ADP cana-4929 168 22 the the DET cana-4929 168 23 exact exact ADJ cana-4929 168 24 solution solution NOUN cana-4929 168 25 . . PUNCT cana-4929 169 1 the the DET cana-4929 169 2 representation representation NOUN cana-4929 169 3 of of ADP cana-4929 169 4 the the DET cana-4929 169 5 absolute absolute ADJ cana-4929 169 6 errors error NOUN cana-4929 169 7 in in ADP cana-4929 169 8 the the DET cana-4929 169 9 new new ADJ cana-4929 169 10 method method NOUN cana-4929 169 11 with with ADP cana-4929 169 12 the the DET cana-4929 169 13 exact exact ADJ cana-4929 169 14 solution solution NOUN cana-4929 169 15 , , PUNCT cana-4929 169 16 in in ADP cana-4929 169 17 table table NOUN cana-4929 169 18 2 2 NUM cana-4929 169 19 , , PUNCT cana-4929 169 20 shows show VERB cana-4929 169 21 a a DET cana-4929 169 22 healthy healthy ADJ cana-4929 169 23 competition competition NOUN cana-4929 169 24 with with ADP cana-4929 169 25 the the DET cana-4929 169 26 exact exact ADJ cana-4929 169 27 solution solution NOUN cana-4929 169 28 . . PUNCT cana-4929 170 1 similar similar ADJ cana-4929 170 2 favoritism favoritism NOUN cana-4929 170 3 is be AUX cana-4929 170 4 observed observe VERB cana-4929 170 5 in in ADP cana-4929 170 6 figure figure NOUN cana-4929 170 7 3 3 NUM cana-4929 170 8 of of ADP cana-4929 170 9 this this DET cana-4929 170 10 work work NOUN cana-4929 170 11 . . PUNCT cana-4929 171 1 furthermore furthermore ADV cana-4929 171 2 , , PUNCT cana-4929 171 3 convergence convergence NOUN cana-4929 171 4 of of ADP cana-4929 171 5 the the DET cana-4929 171 6 new new ADJ cana-4929 171 7 method method NOUN cana-4929 171 8 ensures ensure VERB cana-4929 171 9 a a DET cana-4929 171 10 reduction reduction NOUN cana-4929 171 11 in in ADP cana-4929 171 12 inherent inherent ADJ cana-4929 171 13 error error NOUN cana-4929 171 14 , , PUNCT cana-4929 171 15 in in ADP cana-4929 171 16 comparison comparison NOUN cana-4929 171 17 with with ADP cana-4929 171 18 other other ADJ cana-4929 171 19 existing exist VERB cana-4929 171 20 methods method NOUN cana-4929 171 21 . . PUNCT cana-4929 172 1 communications communication NOUN cana-4929 172 2 on on ADP cana-4929 172 3 applied apply VERB cana-4929 172 4 nonlinear nonlinear ADJ cana-4929 172 5 analysis analysis NOUN cana-4929 172 6 issn issn NOUN cana-4929 172 7 : : PUNCT cana-4929 172 8 1074 1074 NUM cana-4929 172 9 - - PUNCT cana-4929 172 10 133x 133x NUM cana-4929 172 11 vol vol VERB cana-4929 172 12 32 32 NUM cana-4929 172 13 no no NOUN cana-4929 172 14 . . PUNCT cana-4929 173 1 10s 10 NOUN cana-4929 173 2 ( ( PUNCT cana-4929 173 3 2025 2025 NUM cana-4929 173 4 ) ) PUNCT cana-4929 173 5 967 967 NUM cana-4929 173 6 https://internationalpubls.com https://internationalpubls.com X cana-4929 173 7 6 6 NUM cana-4929 173 8 . . PUNCT cana-4929 173 9 conclusion conclusion NOUN cana-4929 173 10 the the DET cana-4929 173 11 generalized generalized ADJ cana-4929 173 12 four four NUM cana-4929 173 13 step step NOUN cana-4929 173 14 adam adam PROPN cana-4929 173 15 moulton moulton PROPN cana-4929 173 16 method method NOUN cana-4929 173 17 has have AUX cana-4929 173 18 been be AUX cana-4929 173 19 presented present VERB cana-4929 173 20 in in ADP cana-4929 173 21 this this DET cana-4929 173 22 research research NOUN cana-4929 173 23 . . PUNCT cana-4929 174 1 following follow VERB cana-4929 174 2 the the DET cana-4929 174 3 technique technique NOUN cana-4929 174 4 adopted adopt VERB cana-4929 174 5 in in ADP cana-4929 174 6 [ [ X cana-4929 174 7 1 1 NUM cana-4929 174 8 ] ] PUNCT cana-4929 174 9 , , PUNCT cana-4929 174 10 four four NUM cana-4929 174 11 discrete discrete ADJ cana-4929 174 12 methods method NOUN cana-4929 174 13 were be AUX cana-4929 174 14 constructed construct VERB cana-4929 174 15 . . PUNCT cana-4929 175 1 stability stability NOUN cana-4929 175 2 analysis analysis NOUN cana-4929 175 3 demonstrates demonstrate VERB cana-4929 175 4 that that SCONJ cana-4929 175 5 the the DET cana-4929 175 6 method method NOUN cana-4929 175 7 satisfies satisfy VERB cana-4929 175 8 essential essential ADJ cana-4929 175 9 properties property NOUN cana-4929 175 10 such such ADJ cana-4929 175 11 as as ADP cana-4929 175 12 consistency consistency NOUN cana-4929 175 13 , , PUNCT cana-4929 175 14 zero zero NUM cana-4929 175 15 - - PUNCT cana-4929 175 16 stability stability NOUN cana-4929 175 17 ; ; PUNCT cana-4929 175 18 and and CCONJ cana-4929 175 19 the the DET cana-4929 175 20 stability stability NOUN cana-4929 175 21 region region NOUN cana-4929 175 22 is be AUX cana-4929 175 23 plotted plot VERB cana-4929 175 24 using use VERB cana-4929 175 25 matlab matlab PROPN cana-4929 175 26 , , PUNCT cana-4929 175 27 visually visually ADV cana-4929 175 28 confirming confirm VERB cana-4929 175 29 a a DET cana-4929 175 30 - - PUNCT cana-4929 175 31 stability stability NOUN cana-4929 175 32 . . PUNCT cana-4929 176 1 furthermore furthermore ADV cana-4929 176 2 , , PUNCT cana-4929 176 3 numerical numerical ADJ cana-4929 176 4 results result NOUN cana-4929 176 5 obtained obtain VERB cana-4929 176 6 in in ADP cana-4929 176 7 examples example NOUN cana-4929 176 8 1and 1and NUM cana-4929 176 9 2 2 NUM cana-4929 176 10 confirm confirm VERB cana-4929 176 11 the the DET cana-4929 176 12 method method NOUN cana-4929 176 13 ’s ’s PART cana-4929 176 14 ability ability NOUN cana-4929 176 15 to to PART cana-4929 176 16 handle handle VERB cana-4929 176 17 stiff stiff ADJ cana-4929 176 18 odes ode NOUN cana-4929 176 19 efficiently efficiently ADV cana-4929 176 20 . . PUNCT cana-4929 177 1 tables table NOUN cana-4929 177 2 and and CCONJ cana-4929 177 3 graphs graph NOUN cana-4929 177 4 are be AUX cana-4929 177 5 presented present VERB cana-4929 177 6 to to PART cana-4929 177 7 provide provide VERB cana-4929 177 8 a a DET cana-4929 177 9 clear clear ADJ cana-4929 177 10 comparison comparison NOUN cana-4929 177 11 between between ADP cana-4929 177 12 the the DET cana-4929 177 13 new new ADJ cana-4929 177 14 method method NOUN cana-4929 177 15 and and CCONJ cana-4929 177 16 existing exist VERB cana-4929 177 17 approaches approach NOUN cana-4929 177 18 . . PUNCT cana-4929 178 1 the the DET cana-4929 178 2 paper paper NOUN cana-4929 178 3 does do AUX cana-4929 178 4 not not PART cana-4929 178 5 analyze analyze VERB cana-4929 178 6 the the DET cana-4929 178 7 computational computational ADJ cana-4929 178 8 cost cost NOUN cana-4929 178 9 of of ADP cana-4929 178 10 the the DET cana-4929 178 11 proposed propose VERB cana-4929 178 12 method method NOUN cana-4929 178 13 . . PUNCT cana-4929 179 1 including include VERB cana-4929 179 2 execution execution NOUN cana-4929 179 3 time time NOUN cana-4929 179 4 , , PUNCT cana-4929 179 5 function function NOUN cana-4929 179 6 evaluations evaluation NOUN cana-4929 179 7 , , PUNCT cana-4929 179 8 and and CCONJ cana-4929 179 9 memory memory NOUN cana-4929 179 10 usage usage NOUN cana-4929 179 11 . . PUNCT cana-4929 180 1 7 7 X cana-4929 180 2 . . X cana-4929 180 3 declarations declaration NOUN cana-4929 180 4 availability availability NOUN cana-4929 180 5 of of ADP cana-4929 180 6 data datum NOUN cana-4929 180 7 and and CCONJ cana-4929 180 8 material material NOUN cana-4929 180 9 : : PUNCT cana-4929 180 10 all all DET cana-4929 180 11 data datum NOUN cana-4929 180 12 generated generate VERB cana-4929 180 13 or or CCONJ cana-4929 180 14 analyzed analyze VERB cana-4929 180 15 during during ADP cana-4929 180 16 this this DET cana-4929 180 17 study study NOUN cana-4929 180 18 are be AUX cana-4929 180 19 included include VERB cana-4929 180 20 in in ADP cana-4929 180 21 this this DET cana-4929 180 22 published publish VERB cana-4929 180 23 article article NOUN cana-4929 180 24 and and CCONJ cana-4929 180 25 its its PRON cana-4929 180 26 supplementary supplementary ADJ cana-4929 180 27 references reference NOUN cana-4929 180 28 . . PUNCT cana-4929 181 1 conflicts conflict NOUN cana-4929 181 2 of of ADP cana-4929 181 3 interest interest NOUN cana-4929 181 4 / / SYM cana-4929 181 5 competing compete VERB cana-4929 181 6 interests interest NOUN cana-4929 181 7 : : PUNCT cana-4929 181 8 all all DET cana-4929 181 9 authors author NOUN cana-4929 181 10 declare declare VERB cana-4929 181 11 that that SCONJ cana-4929 181 12 they they PRON cana-4929 181 13 have have VERB cana-4929 181 14 no no DET cana-4929 181 15 conflicts conflict NOUN cana-4929 181 16 of of ADP cana-4929 181 17 interest interest NOUN cana-4929 181 18 . . PUNCT cana-4929 182 1 funding funding NOUN cana-4929 182 2 : : PUNCT cana-4929 182 3 this this DET cana-4929 182 4 work work NOUN cana-4929 182 5 was be AUX cana-4929 182 6 supported support VERB cana-4929 182 7 through through ADP cana-4929 182 8 tetfund tetfund NOUN cana-4929 182 9 . . PUNCT cana-4929 183 1 authors author NOUN cana-4929 183 2 ’ ' PUNCT cana-4929 183 3 contributions contribution NOUN cana-4929 183 4 : : PUNCT cana-4929 183 5 we we PRON cana-4929 183 6 understand understand VERB cana-4929 183 7 that that SCONJ cana-4929 183 8 the the DET cana-4929 183 9 corresponding corresponding ADJ cana-4929 183 10 author author NOUN cana-4929 183 11 is be AUX cana-4929 183 12 the the DET cana-4929 183 13 sole sole ADJ cana-4929 183 14 contact contact NOUN cana-4929 183 15 for for ADP cana-4929 183 16 the the DET cana-4929 183 17 editorial editorial ADJ cana-4929 183 18 process process NOUN cana-4929 183 19 ( ( PUNCT cana-4929 183 20 including include VERB cana-4929 183 21 editorial editorial ADJ cana-4929 183 22 manager manager NOUN cana-4929 183 23 and and CCONJ cana-4929 183 24 direct direct ADJ cana-4929 183 25 communications communication NOUN cana-4929 183 26 with with ADP cana-4929 183 27 the the DET cana-4929 183 28 office office NOUN cana-4929 183 29 ) ) PUNCT cana-4929 183 30 . . PUNCT cana-4929 184 1 he he PRON cana-4929 184 2 is be AUX cana-4929 184 3 responsible responsible ADJ cana-4929 184 4 for for ADP cana-4929 184 5 communicating communicate VERB cana-4929 184 6 with with ADP cana-4929 184 7 the the DET cana-4929 184 8 other other ADJ cana-4929 184 9 authors author NOUN cana-4929 184 10 about about ADP cana-4929 184 11 progress progress NOUN cana-4929 184 12 , , PUNCT cana-4929 184 13 submissions submission NOUN cana-4929 184 14 of of ADP cana-4929 184 15 revisions revision NOUN cana-4929 184 16 and and CCONJ cana-4929 184 17 final final ADJ cana-4929 184 18 approval approval NOUN cana-4929 184 19 of of ADP cana-4929 184 20 proofs proof NOUN cana-4929 184 21 . . PUNCT cana-4929 185 1 we we PRON cana-4929 185 2 confirm confirm VERB cana-4929 185 3 that that SCONJ cana-4929 185 4 we we PRON cana-4929 185 5 have have AUX cana-4929 185 6 provided provide VERB cana-4929 185 7 a a DET cana-4929 185 8 current current ADJ cana-4929 185 9 , , PUNCT cana-4929 185 10 correct correct ADJ cana-4929 185 11 email email NOUN cana-4929 185 12 address address NOUN cana-4929 185 13 which which PRON cana-4929 185 14 is be AUX cana-4929 185 15 accessible accessible ADJ cana-4929 185 16 by by ADP cana-4929 185 17 the the DET cana-4929 185 18 corresponding corresponding ADJ cana-4929 185 19 author author NOUN cana-4929 185 20 . . PUNCT cana-4929 186 1 all all DET cana-4929 186 2 authors author NOUN cana-4929 186 3 read read VERB cana-4929 186 4 and and CCONJ cana-4929 186 5 approved approve VERB cana-4929 186 6 the the DET cana-4929 186 7 final final ADJ cana-4929 186 8 manuscript manuscript NOUN cana-4929 186 9 . . PUNCT cana-4929 187 1 acknowledgments acknowledgment NOUN cana-4929 187 2 we we PRON cana-4929 187 3 are be AUX cana-4929 187 4 grateful grateful ADJ cana-4929 187 5 to to ADP cana-4929 187 6 god god PROPN cana-4929 187 7 for for ADP cana-4929 187 8 inspiration inspiration NOUN cana-4929 187 9 to to PART cana-4929 187 10 carry carry VERB cana-4929 187 11 out out ADP cana-4929 187 12 this this DET cana-4929 187 13 research research NOUN cana-4929 187 14 . . PUNCT cana-4929 188 1 tetfund tetfund NOUN cana-4929 188 2 has have AUX cana-4929 188 3 helped help VERB cana-4929 188 4 us we PRON cana-4929 188 5 in in ADP cana-4929 188 6 conducting conduct VERB cana-4929 188 7 our our PRON cana-4929 188 8 study study NOUN cana-4929 188 9 and and CCONJ cana-4929 188 10 completing complete VERB cana-4929 188 11 the the DET cana-4929 188 12 work work NOUN cana-4929 188 13 . . PUNCT cana-4929 189 1 we we PRON cana-4929 189 2 would would AUX cana-4929 189 3 like like VERB cana-4929 189 4 to to PART cana-4929 189 5 express express VERB cana-4929 189 6 our our PRON cana-4929 189 7 appreciation appreciation NOUN cana-4929 189 8 . . PUNCT cana-4929 190 1 code code NOUN cana-4929 190 2 availability availability NOUN cana-4929 190 3 : : PUNCT cana-4929 190 4 ' ' PUNCT cana-4929 190 5 not not PART cana-4929 190 6 applicable applicable ADJ cana-4929 190 7 . . PUNCT cana-4929 191 1 references reference NOUN cana-4929 191 2 [ [ X cana-4929 191 3 1 1 NUM cana-4929 191 4 ] ] PUNCT cana-4929 191 5 kaze kaze NOUN cana-4929 191 6 atsi atsi PROPN cana-4929 191 7 , , PUNCT cana-4929 191 8 lydia lydia PROPN cana-4929 191 9 adiku adiku PROPN cana-4929 191 10 , , PUNCT cana-4929 191 11 namuma namuma PROPN cana-4929 191 12 yarima yarima PROPN cana-4929 191 13 , , PUNCT cana-4929 191 14 and and CCONJ cana-4929 191 15 g. g. PROPN cana-4929 191 16 m. m. PROPN cana-4929 191 17 kumleng kumleng PROPN cana-4929 191 18 ( ( PUNCT cana-4929 191 19 2023 2023 NUM cana-4929 191 20 ) ) PUNCT cana-4929 191 21 . . PUNCT cana-4929 192 1 a a DET cana-4929 192 2 second second ADJ cana-4929 192 3 derivative derivative ADJ cana-4929 192 4 block block NOUN cana-4929 192 5 method method NOUN cana-4929 192 6 derived derive VERB cana-4929 192 7 from from ADP cana-4929 192 8 a a DET cana-4929 192 9 family family NOUN cana-4929 192 10 of of ADP cana-4929 192 11 modified modify VERB cana-4929 192 12 backward backward ADJ cana-4929 192 13 differentiation differentiation NOUN cana-4929 192 14 formula formula NOUN cana-4929 192 15 ( ( PUNCT cana-4929 192 16 bdf bdf NOUN cana-4929 192 17 ) ) PUNCT cana-4929 192 18 type type NOUN cana-4929 192 19 for for ADP cana-4929 192 20 solving solve VERB cana-4929 192 21 stiff stiff ADJ cana-4929 192 22 ordinary ordinary ADJ cana-4929 192 23 differential differential ADJ cana-4929 192 24 equations equation NOUN cana-4929 192 25 . . PUNCT cana-4929 193 1 i i PRON cana-4929 193 2 - - PUNCT cana-4929 193 3 manager manager NOUN cana-4929 193 4 ’s ’s PART cana-4929 193 5 journal journal NOUN cana-4929 193 6 on on ADP cana-4929 193 7 mathematics mathematic NOUN cana-4929 193 8 , , PUNCT cana-4929 193 9 11(2 11(2 NOUN cana-4929 193 10 ) ) PUNCT cana-4929 193 11 , , PUNCT cana-4929 193 12 8 8 NUM cana-4929 193 13 - - SYM cana-4929 193 14 12 12 NUM cana-4929 193 15 . . PUNCT cana-4929 194 1 [ [ X cana-4929 194 2 2 2 NUM cana-4929 194 3 ] ] PUNCT cana-4929 194 4 kaze kaze NOUN cana-4929 194 5 atsi atsi PROPN cana-4929 194 6 and and CCONJ cana-4929 194 7 g. g. PROPN cana-4929 194 8 m. m. PROPN cana-4929 194 9 kumleng kumleng PROPN cana-4929 194 10 ( ( PUNCT cana-4929 194 11 2020 2020 NUM cana-4929 194 12 ) ) PUNCT cana-4929 194 13 . . PUNCT cana-4929 195 1 a a DET cana-4929 195 2 family family NOUN cana-4929 195 3 of of ADP cana-4929 195 4 modified modify VERB cana-4929 195 5 backward backward ADJ cana-4929 195 6 differentiation differentiation NOUN cana-4929 195 7 formula formula NOUN cana-4929 195 8 ( ( PUNCT cana-4929 195 9 bdf bdf NOUN cana-4929 195 10 ) ) PUNCT cana-4929 195 11 type type NOUN cana-4929 195 12 block block NOUN cana-4929 195 13 methods method NOUN cana-4929 195 14 for for ADP cana-4929 195 15 the the DET cana-4929 195 16 solution solution NOUN cana-4929 195 17 of of ADP cana-4929 195 18 stiff stiff ADJ cana-4929 195 19 ordinary ordinary ADJ cana-4929 195 20 differential differential ADJ cana-4929 195 21 equations equation NOUN cana-4929 195 22 . . PUNCT cana-4929 196 1 international international ADJ cana-4929 196 2 journal journal PROPN cana-4929 196 3 of of ADP cana-4929 196 4 statistics statistic NOUN cana-4929 196 5 and and CCONJ cana-4929 196 6 applied apply VERB cana-4929 196 7 mathematics mathematic NOUN cana-4929 196 8 , , PUNCT cana-4929 196 9 5(2 5(2 NUM cana-4929 196 10 ) ) PUNCT cana-4929 196 11 , , PUNCT cana-4929 196 12 pp pp ADV cana-4929 196 13 09 09 NUM cana-4929 196 14 - - SYM cana-4929 196 15 16 16 NUM cana-4929 196 16 . . PUNCT cana-4929 197 1 [ [ X cana-4929 197 2 3 3 NUM cana-4929 197 3 ] ] SYM cana-4929 197 4 dauda dauda NOUN cana-4929 197 5 gulibur gulibur PROPN cana-4929 197 6 yakubu yakubu PROPN cana-4929 197 7 , , PUNCT cana-4929 197 8 ali ali PROPN cana-4929 197 9 shokri shokri PROPN cana-4929 197 10 , , PUNCT cana-4929 197 11 geoffrey geoffrey PROPN cana-4929 197 12 micah micah PROPN cana-4929 197 13 kumleng kumleng PROPN cana-4929 197 14 and and CCONJ cana-4929 197 15 daniela daniela PROPN cana-4929 197 16 marian marian PROPN cana-4929 197 17 ( ( PUNCT cana-4929 197 18 2022 2022 NUM cana-4929 197 19 ) ) PUNCT cana-4929 197 20 . . PUNCT cana-4929 198 1 second second ADJ cana-4929 198 2 derivative derivative ADJ cana-4929 198 3 block block NOUN cana-4929 198 4 hybrid hybrid NOUN cana-4929 198 5 methods method NOUN cana-4929 198 6 for for ADP cana-4929 198 7 the the DET cana-4929 198 8 numerical numerical ADJ cana-4929 198 9 integration integration NOUN cana-4929 198 10 of of ADP cana-4929 198 11 differential differential NOUN cana-4929 198 12 systems system NOUN cana-4929 198 13 . . PUNCT cana-4929 199 1 fractal fractal ADJ cana-4929 199 2 fraction fraction NOUN cana-4929 199 3 , , PUNCT cana-4929 199 4 6(386 6(386 NUM cana-4929 199 5 ) ) PUNCT cana-4929 199 6 , , PUNCT cana-4929 199 7 1 1 NUM cana-4929 199 8 - - SYM cana-4929 199 9 18 18 NUM cana-4929 199 10 . . PUNCT cana-4929 200 1 [ [ X cana-4929 200 2 4 4 X cana-4929 200 3 ] ] X cana-4929 200 4 rufai rufai NOUN cana-4929 200 5 m. m. PROPN cana-4929 200 6 a. a. PROPN cana-4929 200 7 , , PUNCT cana-4929 200 8 duromola duromola PROPN cana-4929 200 9 m. m. PROPN cana-4929 200 10 k. k. PROPN cana-4929 200 11 and and CCONJ cana-4929 200 12 ganiyu ganiyu PROPN cana-4929 200 13 a. a. PROPN cana-4929 200 14 a. a. PROPN cana-4929 200 15 ( ( PUNCT cana-4929 200 16 2016 2016 NUM cana-4929 200 17 ) ) PUNCT cana-4929 200 18 . . PUNCT cana-4929 201 1 derivation derivation NOUN cana-4929 201 2 of of ADP cana-4929 201 3 one one NUM cana-4929 201 4 - - PUNCT cana-4929 201 5 sixth sixth ADJ cana-4929 201 6 hybrid hybrid NOUN cana-4929 201 7 block block NOUN cana-4929 201 8 method method NOUN cana-4929 201 9 for for ADP cana-4929 201 10 solving solve VERB cana-4929 201 11 general general ADJ cana-4929 201 12 first first ADJ cana-4929 201 13 order order NOUN cana-4929 201 14 ordinary ordinary ADJ cana-4929 201 15 differential differential ADJ cana-4929 201 16 equations equation NOUN cana-4929 201 17 . . PUNCT cana-4929 202 1 iosr iosr ADJ cana-4929 202 2 journal journal PROPN cana-4929 202 3 of of ADP cana-4929 202 4 mathematics mathematics PROPN cana-4929 202 5 ( ( PUNCT cana-4929 202 6 iosr iosr PROPN cana-4929 202 7 - - PUNCT cana-4929 202 8 jm jm NOUN cana-4929 202 9 ) ) PUNCT cana-4929 202 10 , , PUNCT cana-4929 202 11 12(5 12(5 NUM cana-4929 202 12 ) ) PUNCT cana-4929 202 13 , , PUNCT cana-4929 202 14 20 20 NUM cana-4929 202 15 - - SYM cana-4929 202 16 27 27 NUM cana-4929 202 17 . . PUNCT cana-4929 203 1 communications communication NOUN cana-4929 203 2 on on ADP cana-4929 203 3 applied apply VERB cana-4929 203 4 nonlinear nonlinear ADJ cana-4929 203 5 analysis analysis NOUN cana-4929 203 6 issn issn NOUN cana-4929 203 7 : : PUNCT cana-4929 203 8 1074 1074 NUM cana-4929 203 9 - - PUNCT cana-4929 203 10 133x 133x NUM cana-4929 203 11 vol vol VERB cana-4929 203 12 32 32 NUM cana-4929 203 13 no no NOUN cana-4929 203 14 . . PUNCT cana-4929 204 1 10s 10 NOUN cana-4929 204 2 ( ( PUNCT cana-4929 204 3 2025 2025 NUM cana-4929 204 4 ) ) PUNCT cana-4929 204 5 968 968 NUM cana-4929 204 6 https://internationalpubls.com https://internationalpubls.com X cana-4929 205 1 [ [ X cana-4929 205 2 5 5 NUM cana-4929 205 3 ] ] X cana-4929 205 4 y. y. PROPN cana-4929 205 5 skwame skwame PROPN cana-4929 205 6 , , PUNCT cana-4929 205 7 j. j. PROPN cana-4929 205 8 sunday sunday PROPN cana-4929 205 9 and and CCONJ cana-4929 205 10 e.a e.a PROPN cana-4929 205 11 . . PROPN cana-4929 205 12 ibijola ibijola PROPN cana-4929 205 13 ( ( PUNCT cana-4929 205 14 2012 2012 NUM cana-4929 205 15 ) ) PUNCT cana-4929 205 16 . . PUNCT cana-4929 206 1 l l ADJ cana-4929 206 2 - - ADJ cana-4929 206 3 stable stable ADJ cana-4929 206 4 block block NOUN cana-4929 206 5 hybrid hybrid PROPN cana-4929 206 6 simpson simpson PROPN cana-4929 206 7 ’s ’s PART cana-4929 206 8 methods method NOUN cana-4929 206 9 for for ADP cana-4929 206 10 numerical numerical ADJ cana-4929 206 11 solution solution NOUN cana-4929 206 12 of of ADP cana-4929 206 13 initial initial ADJ cana-4929 206 14 value value NOUN cana-4929 206 15 problems problem NOUN cana-4929 206 16 in in ADP cana-4929 206 17 stiff stiff ADJ cana-4929 206 18 ordinary ordinary ADJ cana-4929 206 19 differential differential ADJ cana-4929 206 20 equations equation NOUN cana-4929 206 21 . . PUNCT cana-4929 207 1 international international ADJ cana-4929 207 2 journal journal NOUN cana-4929 207 3 of of ADP cana-4929 207 4 pure pure ADJ cana-4929 207 5 and and CCONJ cana-4929 207 6 applied applied ADJ cana-4929 207 7 sciences science NOUN cana-4929 207 8 and and CCONJ cana-4929 207 9 technology technology NOUN cana-4929 207 10 , , PUNCT cana-4929 207 11 11(2 11(2 NUM cana-4929 207 12 ) ) PUNCT cana-4929 207 13 , , PUNCT cana-4929 207 14 45 45 NUM cana-4929 207 15 - - SYM cana-4929 207 16 54 54 NUM cana-4929 207 17 . . PUNCT cana-4929 208 1 [ [ X cana-4929 208 2 6 6 NUM cana-4929 208 3 ] ] X cana-4929 208 4 kumleng kumleng PROPN cana-4929 208 5 g.m g.m PROPN cana-4929 208 6 , , PUNCT cana-4929 208 7 longwap longwap NOUN cana-4929 208 8 s. s. PROPN cana-4929 208 9 and and CCONJ cana-4929 208 10 adee adee PROPN cana-4929 208 11 s. s. PROPN cana-4929 208 12 ( ( PUNCT cana-4929 208 13 2013 2013 NUM cana-4929 208 14 ) ) PUNCT cana-4929 208 15 . . PUNCT cana-4929 209 1 a a DET cana-4929 209 2 class class NOUN cana-4929 209 3 of of ADP cana-4929 209 4 a a DET cana-4929 209 5 - - PUNCT cana-4929 209 6 stable stable ADJ cana-4929 209 7 order order NOUN cana-4929 209 8 four four NUM cana-4929 209 9 and and CCONJ cana-4929 209 10 six six NUM cana-4929 209 11 linear linear ADJ cana-4929 209 12 multistep multistep ADJ cana-4929 209 13 methods method NOUN cana-4929 209 14 for for ADP cana-4929 209 15 stiff stiff ADJ cana-4929 209 16 initial initial ADJ cana-4929 209 17 value value NOUN cana-4929 209 18 problems problem NOUN cana-4929 209 19 . . PUNCT cana-4929 210 1 mathematical mathematical ADJ cana-4929 210 2 theory theory NOUN cana-4929 210 3 and and CCONJ cana-4929 210 4 modeling modeling NOUN cana-4929 210 5 , , PUNCT cana-4929 210 6 3(11 3(11 NUM cana-4929 210 7 ) ) PUNCT cana-4929 210 8 , , PUNCT cana-4929 210 9 19 19 NUM cana-4929 210 10 . . PUNCT cana-4929 211 1 [ [ X cana-4929 211 2 7 7 NUM cana-4929 211 3 ] ] X cana-4929 211 4 ajie ajie PROPN cana-4929 211 5 , , PUNCT cana-4929 211 6 i. i. PROPN cana-4929 211 7 j. j. PROPN cana-4929 211 8 , , PUNCT cana-4929 211 9 ikhile ikhile NOUN cana-4929 211 10 , , PUNCT cana-4929 211 11 m. m. NOUN cana-4929 211 12 n. n. PROPN cana-4929 211 13 o. o. PROPN cana-4929 211 14 and and CCONJ cana-4929 211 15 onumanyi onumanyi PROPN cana-4929 211 16 , , PUNCT cana-4929 211 17 p. p. NOUN cana-4929 211 18 ( ( PUNCT cana-4929 211 19 2014 2014 NUM cana-4929 211 20 ) ) PUNCT cana-4929 211 21 . . PUNCT cana-4929 212 1 a a DET cana-4929 212 2 family family NOUN cana-4929 212 3 of of ADP cana-4929 212 4 block block NOUN cana-4929 212 5 methods method NOUN cana-4929 212 6 derived derive VERB cana-4929 212 7 from from ADP cana-4929 212 8 tom tom PROPN cana-4929 212 9 and and CCONJ cana-4929 212 10 bdf bdf NOUN cana-4929 212 11 pairs pair NOUN cana-4929 212 12 for for ADP cana-4929 212 13 stiff stiff ADJ cana-4929 212 14 ordinary ordinary ADJ cana-4929 212 15 differential differential ADJ cana-4929 212 16 equations equation NOUN cana-4929 212 17 . . PUNCT cana-4929 213 1 american american PROPN cana-4929 213 2 journal journal PROPN cana-4929 213 3 of of ADP cana-4929 213 4 mathematics mathematics PROPN cana-4929 213 5 and and CCONJ cana-4929 213 6 statistics statistic NOUN cana-4929 213 7 , , PUNCT cana-4929 213 8 125 125 NUM cana-4929 213 9 , , PUNCT cana-4929 213 10 1 1 NUM cana-4929 213 11 – – PUNCT cana-4929 213 12 29 29 NUM cana-4929 213 13 . . PUNCT cana-4929 214 1 [ [ X cana-4929 214 2 8 8 NUM cana-4929 214 3 ] ] X cana-4929 214 4 g.m g.m PROPN cana-4929 214 5 . . PROPN cana-4929 214 6 kumleng kumleng PROPN cana-4929 214 7 , , PUNCT cana-4929 214 8 j.p j.p PROPN cana-4929 214 9 . . PROPN cana-4929 214 10 chollom chollom PROPN cana-4929 214 11 and and CCONJ cana-4929 214 12 s. s. PROPN cana-4929 214 13 longwap longwap PROPN cana-4929 214 14 ( ( PUNCT cana-4929 214 15 2013 2013 NUM cana-4929 214 16 ) ) PUNCT cana-4929 214 17 . . PUNCT cana-4929 215 1 a a DET cana-4929 215 2 modified modify VERB cana-4929 215 3 block block NOUN cana-4929 215 4 adam adam PROPN cana-4929 215 5 moulton moulton PROPN cana-4929 215 6 ( ( PUNCT cana-4929 215 7 mobam mobam PROPN cana-4929 215 8 ) ) PUNCT cana-4929 215 9 method method NOUN cana-4929 215 10 for for ADP cana-4929 215 11 the the DET cana-4929 215 12 solution solution NOUN cana-4929 215 13 of of ADP cana-4929 215 14 stiff stiff ADJ cana-4929 215 15 initial initial ADJ cana-4929 215 16 value value NOUN cana-4929 215 17 problems problem NOUN cana-4929 215 18 of of ADP cana-4929 215 19 ordinary ordinary ADJ cana-4929 215 20 differential differential ADJ cana-4929 215 21 equations equation NOUN cana-4929 215 22 . . PUNCT cana-4929 216 1 research research NOUN cana-4929 216 2 journal journal PROPN cana-4929 216 3 of of ADP cana-4929 216 4 mathematics mathematic NOUN cana-4929 216 5 and and CCONJ cana-4929 216 6 statistics statistic NOUN cana-4929 216 7 , , PUNCT cana-4929 216 8 5(4 5(4 NUM cana-4929 216 9 ) ) PUNCT cana-4929 216 10 , , PUNCT cana-4929 216 11 32 32 NUM cana-4929 216 12 - - SYM cana-4929 216 13 42 42 NUM cana-4929 216 14 . . PUNCT cana-4929 217 1 [ [ X cana-4929 217 2 9 9 NUM cana-4929 217 3 ] ] PUNCT cana-4929 217 4 a. a. NOUN cana-4929 217 5 mustafa mustafa PROPN cana-4929 217 6 and and CCONJ cana-4929 217 7 j. j. PROPN cana-4929 217 8 p. p. PROPN cana-4929 217 9 chollom chollom PROPN cana-4929 217 10 ( ( PUNCT cana-4929 217 11 2010 2010 NUM cana-4929 217 12 ) ) PUNCT cana-4929 217 13 . . PUNCT cana-4929 218 1 numerical numerical ADJ cana-4929 218 2 solution solution NOUN cana-4929 218 3 of of ADP cana-4929 218 4 ordinary ordinary ADJ cana-4929 218 5 differential differential ADJ cana-4929 218 6 equations equation NOUN cana-4929 218 7 ( ( PUNCT cana-4929 218 8 odes ode NOUN cana-4929 218 9 ) ) PUNCT cana-4929 218 10 from from ADP cana-4929 218 11 reformulated reformulate VERB cana-4929 218 12 block block NOUN cana-4929 218 13 3 3 NUM cana-4929 218 14 - - PUNCT cana-4929 218 15 step step NOUN cana-4929 218 16 adams adam NOUN cana-4929 218 17 - - PUNCT cana-4929 218 18 bashforth bashforth NOUN cana-4929 218 19 method method NOUN cana-4929 218 20 . . PUNCT cana-4929 219 1 nigerian nigerian ADJ cana-4929 219 2 journal journal PROPN cana-4929 219 3 of of ADP cana-4929 219 4 basic basic ADJ cana-4929 219 5 and and CCONJ cana-4929 219 6 applied apply VERB cana-4929 219 7 science science NOUN cana-4929 219 8 , , PUNCT cana-4929 219 9 18(2 18(2 NUM cana-4929 219 10 ) ) PUNCT cana-4929 219 11 , , PUNCT cana-4929 219 12 204 204 NUM cana-4929 219 13 - - SYM cana-4929 219 14 208 208 NUM cana-4929 219 15 . . PUNCT cana-4929 220 1 [ [ X cana-4929 220 2 10 10 NUM cana-4929 220 3 ] ] PUNCT cana-4929 220 4 kaze kaze NOUN cana-4929 220 5 atsi atsi PROPN cana-4929 220 6 and and CCONJ cana-4929 220 7 gm gm PROPN cana-4929 220 8 kumleng kumleng PROPN cana-4929 220 9 ( ( PUNCT cana-4929 220 10 2021 2021 NUM cana-4929 220 11 ) ) PUNCT cana-4929 220 12 . . PUNCT cana-4929 221 1 block block NOUN cana-4929 221 2 extended extend VERB cana-4929 221 3 trapezoidal trapezoidal ADJ cana-4929 221 4 rule rule NOUN cana-4929 221 5 of of ADP cana-4929 221 6 the the DET cana-4929 221 7 second second ADJ cana-4929 221 8 kind kind NOUN cana-4929 221 9 ( ( PUNCT cana-4929 221 10 etr2 etr2 PROPN cana-4929 221 11 ) ) PUNCT cana-4929 221 12 for for ADP cana-4929 221 13 the the DET cana-4929 221 14 direct direct ADJ cana-4929 221 15 solution solution NOUN cana-4929 221 16 of of ADP cana-4929 221 17 second second ADJ cana-4929 221 18 order order NOUN cana-4929 221 19 initial initial ADJ cana-4929 221 20 value value NOUN cana-4929 221 21 problems problem NOUN cana-4929 221 22 of of ADP cana-4929 221 23 ordinary ordinary ADJ cana-4929 221 24 differential differential ADJ cana-4929 221 25 equations equation NOUN cana-4929 221 26 . . PUNCT cana-4929 222 1 iosr iosr ADJ cana-4929 222 2 journal journal PROPN cana-4929 222 3 of of ADP cana-4929 222 4 mathematics mathematics PROPN cana-4929 222 5 ( ( PUNCT cana-4929 222 6 iosr iosr PROPN cana-4929 222 7 - - PUNCT cana-4929 222 8 jm jm NOUN cana-4929 222 9 ) ) PUNCT cana-4929 222 10 , , PUNCT cana-4929 222 11 17(2 17(2 NUM cana-4929 222 12 ) ) PUNCT cana-4929 222 13 , , PUNCT cana-4929 222 14 10 10 NUM cana-4929 222 15 - - SYM cana-4929 222 16 14 14 NUM cana-4929 222 17 . . PUNCT cana-4929 223 1 [ [ X cana-4929 223 2 11 11 NUM cana-4929 223 3 ] ] X cana-4929 223 4 kumleng kumleng PROPN cana-4929 223 5 g.m g.m PROPN cana-4929 223 6 . . PROPN cana-4929 223 7 , , PUNCT cana-4929 223 8 chollom chollom PROPN cana-4929 223 9 j. j. PROPN cana-4929 223 10 p p PROPN cana-4929 223 11 , , PUNCT cana-4929 223 12 omagwu omagwu ADV cana-4929 223 13 s. s. PROPN cana-4929 223 14 ( ( PUNCT cana-4929 223 15 2015 2015 NUM cana-4929 223 16 ) ) PUNCT cana-4929 223 17 . . PUNCT cana-4929 224 1 a a DET cana-4929 224 2 class class NOUN cana-4929 224 3 of of ADP cana-4929 224 4 new new ADJ cana-4929 224 5 block block NOUN cana-4929 224 6 generalized generalize VERB cana-4929 224 7 adams adam NOUN cana-4929 224 8 implicit implicit ADJ cana-4929 224 9 runge runge NOUN cana-4929 224 10 - - PUNCT cana-4929 224 11 kutta kutta NOUN cana-4929 224 12 collocation collocation NOUN cana-4929 224 13 methods method NOUN cana-4929 224 14 . . PUNCT cana-4929 225 1 international international ADJ cana-4929 225 2 journal journal PROPN cana-4929 225 3 of of ADP cana-4929 225 4 scientific scientific PROPN cana-4929 225 5 & & CCONJ cana-4929 225 6 engineering engineering NOUN cana-4929 225 7 research research NOUN cana-4929 225 8 , , PUNCT cana-4929 225 9 6(12 6(12 NUM cana-4929 225 10 ) ) PUNCT cana-4929 225 11 , , PUNCT cana-4929 225 12 10 10 NUM cana-4929 225 13 - - SYM cana-4929 225 14 19 19 NUM cana-4929 225 15 . . PUNCT cana-4929 226 1 [ [ X cana-4929 226 2 12 12 NUM cana-4929 226 3 ] ] PUNCT cana-4929 226 4 t. t. PROPN cana-4929 226 5 aboiyar aboiyar PROPN cana-4929 226 6 , , PUNCT cana-4929 226 7 t. t. PROPN cana-4929 226 8 luga luga PROPN cana-4929 226 9 , , PUNCT cana-4929 226 10 b. b. PROPN cana-4929 227 1 v. v. PROPN cana-4929 227 2 iyorter iyorter PROPN cana-4929 227 3 ( ( PUNCT cana-4929 227 4 2015 2015 NUM cana-4929 227 5 ) ) PUNCT cana-4929 227 6 . . PUNCT cana-4929 228 1 derivation derivation NOUN cana-4929 228 2 of of ADP cana-4929 228 3 continuous continuous ADJ cana-4929 228 4 linear linear ADJ cana-4929 228 5 multistep multistep ADJ cana-4929 228 6 methods method NOUN cana-4929 228 7 using use VERB cana-4929 228 8 hermite hermite ADJ cana-4929 228 9 polynomials polynomial NOUN cana-4929 228 10 as as ADP cana-4929 228 11 basis basis NOUN cana-4929 228 12 functions function NOUN cana-4929 228 13 . . PUNCT cana-4929 229 1 american american ADJ cana-4929 229 2 journal journal PROPN cana-4929 229 3 of of ADP cana-4929 229 4 applied apply VERB cana-4929 229 5 mathematics mathematic NOUN cana-4929 229 6 and and CCONJ cana-4929 229 7 statistics statistic NOUN cana-4929 229 8 , , PUNCT cana-4929 229 9 3(6 3(6 NUM cana-4929 229 10 ) ) PUNCT cana-4929 229 11 , , PUNCT cana-4929 229 12 220 220 NUM cana-4929 229 13 - - SYM cana-4929 229 14 225 225 NUM cana-4929 229 15 . . PUNCT cana-4929 230 1 [ [ X cana-4929 230 2 13 13 NUM cana-4929 230 3 ] ] SYM cana-4929 230 4 chollom chollom PROPN cana-4929 230 5 , , PUNCT cana-4929 230 6 j. j. PROPN cana-4929 230 7 p. p. PROPN cana-4929 230 8 ; ; PUNCT cana-4929 230 9 ndam ndam PROPN cana-4929 230 10 , , PUNCT cana-4929 230 11 j. j. PROPN cana-4929 230 12 n. n. PROPN cana-4929 230 13 and and CCONJ cana-4929 230 14 kumleng kumleng PROPN cana-4929 230 15 , , PUNCT cana-4929 230 16 g. g. PROPN cana-4929 230 17 m. m. PROPN cana-4929 230 18 ( ( PUNCT cana-4929 230 19 2007 2007 NUM cana-4929 230 20 ) ) PUNCT cana-4929 230 21 . . PUNCT cana-4929 231 1 on on ADP cana-4929 231 2 some some DET cana-4929 231 3 properties property NOUN cana-4929 231 4 of of ADP cana-4929 231 5 the the DET cana-4929 231 6 block block NOUN cana-4929 231 7 linear linear PROPN cana-4929 231 8 multi multi ADJ cana-4929 231 9 - - ADJ cana-4929 231 10 step step ADJ cana-4929 231 11 methods method NOUN cana-4929 231 12 . . PUNCT cana-4929 232 1 science science PROPN cana-4929 232 2 world world PROPN cana-4929 232 3 journal journal PROPN cana-4929 232 4 , , PUNCT cana-4929 232 5 2(3 2(3 NUM cana-4929 232 6 ) ) PUNCT cana-4929 232 7 , , PUNCT cana-4929 232 8 11 11 NUM cana-4929 232 9 - - SYM cana-4929 232 10 17 17 NUM cana-4929 232 11 . . PUNCT cana-4929 233 1 [ [ X cana-4929 233 2 14 14 NUM cana-4929 233 3 ] ] PUNCT cana-4929 233 4 s. s. PROPN cana-4929 233 5 j. j. PROPN cana-4929 233 6 kayode kayode PROPN cana-4929 233 7 , , PUNCT cana-4929 233 8 e. e. PROPN cana-4929 233 9 a. a. PROPN cana-4929 233 10 areo areo PROPN cana-4929 233 11 , , PUNCT cana-4929 233 12 j. j. PROPN cana-4929 233 13 o. o. PROPN cana-4929 233 14 adegboro adegboro PROPN cana-4929 233 15 ( ( PUNCT cana-4929 233 16 2021 2021 NUM cana-4929 233 17 ) ) PUNCT cana-4929 233 18 . . PUNCT cana-4929 234 1 two two NUM cana-4929 234 2 step step NOUN cana-4929 234 3 continuous continuous ADJ cana-4929 234 4 trigonometrically trigonometrically ADV cana-4929 234 5 fitted fit VERB cana-4929 234 6 method method NOUN cana-4929 234 7 for for ADP cana-4929 234 8 solving solve VERB cana-4929 234 9 oscillatory oscillatory ADJ cana-4929 234 10 second second ADJ cana-4929 234 11 order order NOUN cana-4929 234 12 ordinary ordinary ADJ cana-4929 234 13 differential differential ADJ cana-4929 234 14 equations equation NOUN cana-4929 234 15 . . PUNCT cana-4929 235 1 international international ADJ cana-4929 235 2 journal journal PROPN cana-4929 235 3 of of ADP cana-4929 235 4 applied apply VERB cana-4929 235 5 science science NOUN cana-4929 235 6 and and CCONJ cana-4929 235 7 research research NOUN cana-4929 235 8 , , PUNCT cana-4929 235 9 4(4 4(4 NUM cana-4929 235 10 ) ) PUNCT cana-4929 235 11 , , PUNCT cana-4929 235 12 244 244 NUM cana-4929 235 13 - - SYM cana-4929 235 14 255 255 NUM cana-4929 235 15 . . PUNCT