Differential quadrature solution of nonlinear Klein-Gordon and sine-Gordon equations

被引：37
|
作者：
Pekmen, B. [2 ,3 ]
Tezer-Sezgin, M. [1 ,2 ]
机构：
[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
[2] Middle E Tech Univ, Dept Comp Sci, Inst Appl Math, TR-06531 Ankara, Turkey
[3] Atilim Univ, Dept Math, Ankara, Turkey
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2012年 / 183卷 / 08期
关键词：
Klein-Gordon equation; Sine-Gordon equation; Differential quadrature method; RADIAL BASIS FUNCTIONS; VARIATIONAL ITERATION METHOD; NUMERICAL-SOLUTION; SOLITONS; APPROXIMATION; COLLOCATION;
D O I：
10.1016/j.cpc.2012.03.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Differential quadrature method (DQM) is proposed to solve the one-dimensional quadratic and cubic Klein-Gordon equations, and two-dimensional sine-Gordon equation. We apply DQM in space direction and also blockwise in time direction. Initial and derivative boundary conditions are also approximated by DQM. DQM provides one to obtain numerical results with very good accuracy using considerably small number of grid points. Numerical solutions are obtained by using Gauss-Chebyshev-Lobatto (GCL) grid points in space intervals, and GCL grid points in each equally divided time blocks. (C) 2012 Elsevier B.V. All rights reserved.
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页码：1702 / 1713
页数：12
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