id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-786	Dong, Sitong; Zhang, Xin; Jin, Yuanfeng	A second order convergent difference scheme for the initial-boundary value problem of Rosenau-Burgers equation	2024	12	.pdf	application/pdf	5088	244	83	− 1, 0 ≤ k ≤ N − 1, (3.8) V k i = δ2xU k i +Qk i , 1 ≤ i ≤M − 1, 0 ≤ k ≤ N, (3.9) there exist constants c1 and c2 such that |Rk+ 1 2 i | ≤ c1(τ 2 + h2), 1 ≤ i ≤M − 1, 0 ≤ k ≤ N − 1, |Qk i | ≤ i − ψ(uk+ 1 2 , uk+ 1 2 )i] = R k+ 1 2 i , 1 ≤ i ≤M − 1, 0 ≤ k ≤ N − 1, (5.1) fki = δ2xe k i +Qk i , 1 ≤ i ≤M − 1, 0 ≤ k ≤ N, (5.2) e0i = 0, 1 ≤ i ≤M − 1, (5.3) ek0 = 0, ekM = 0, 0 ≤ k ≤ N, (5.4) fk0 = 0, fkM = 0, 0 ≤ k ≤ N. (5.5) It follows from (5.2) that f k+ 1 2 i = δ2xe k+ 1 2 i +Q k+ 1 2 i , 1 ≤ i ≤M − 1, 0 ≤ k ≤ N − 1.	cache/ejde-786.pdf	txt/ejde-786.txt