id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4403	Ngoma, Diogene Vianney Pongui; Germain Nguimbi; Vital Delmas Mabonzo; Madzou, Bienaime Bervi Bamvi 	On the Existence, Uniqueness and Application of the Finite Difference Method for Solving Cauchy-Dirichlet Problem	2022	15	.pdf	application/pdf	4052	217	72	Math, 15 (3) (2022), 1348-1362 1355 < Aλv, v >=  2v1 − v2 − v1 + 2v2 − v3 −v2 + 2v3 − v4 ... −vN−2 + 2vN−1 − vN −vN−1 + 2vN   v1 v2 v3 ... vN−1 vN  ; < Aλv, v >= (2v1−v2)v1+(−v1+2v2−v3)v2+(−v2+2v3−v4)v3+(−vN−2+2vN−1−vN )vN−1+(−vN−1+2vN )vN < Aλv, v >= N∑ i=1 [−vi−1 + 2vi − vi+1]vi < Aλv, v >= N∑ i=1 (−vi−1vi) + N∑ i=1 (2v2i ) + N∑ i=1 (−vi+1vi) or N∑ i=1 (−vi+1vi) = fi (36) therefore, −µ ∆x2 (ui+1 − 2ui − ui−1) + ci ∆x (ui+1 − ui) = fi (37)	cache/ejpam-4403.pdf	txt/ejpam-4403.txt