On Tsertsvadze's difference scheme for the Kuramoto-Tsuzuki equation

被引：68
作者：
Sun, ZZ
Zhu, QD
机构：
[1] SE Univ, Dept Math Appl, Nanjing 210096, Peoples R China
[2] Human Normal Univ, Inst Comp, Changsha 410081, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 98卷 / 02期
关键词：
Tsertsvadze; Kuramoto-Tsuzuki equation; finite difference; convergence; solvability;
D O I：
10.1016/S0377-0427(98)00135-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have proved the second-order convergence in L-infinity norm of the Tsertsvadze's difference scheme for the Kuramoto-Tsuzuki equation. The existence, uniqueness and iterative algorithm are also discussed in detail. Furthermore, a L-infinity second order convergent linearized difference scheme is given for inhomogeneous equation. All results are obtained without any restrictions on the meshsizes. At last a numerical example is presented. (C) 1998 Elsevier Science B.V. All rights reserved. AMS classification. Primary 65M06; 65M12; 65M15.
引用
收藏
页码：289 / 304
页数：16
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