A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions

被引：79

作者：

Vong, Seakweng ^{[1
]}

Wang, Zhibo ^{[1
]}

机构：

[1] Univ Macau, Dept Math, Macau, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 274卷

关键词：

Two dimensional fractional Klein-Gordon equation; Compact difference scheme; Stability; Convergence; SUB-DIFFUSION EQUATION; VARIATIONAL ITERATION METHOD; IMPLICIT NUMERICAL-METHOD; WISE ERROR ESTIMATE; SINE-GORDON; HIGH-ORDER; SPACE; SUBDIFFUSION;

D O I：

10.1016/j.jcp.2014.06.022

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a high order finite difference scheme for a two dimensional fractional Klein-Gordon equation subject to Neumann boundary conditions is proposed. The difficulty induced by the nonlinear term and the Neumann conditions is carefully handled in the proposed scheme. The stability and convergence of the finite difference scheme are analyzed using the matrix form of the scheme. Numerical examples are provided to demonstrate the theoretical results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：268 / 282

页数：15

共 39 条

[1] A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term [J].