Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation

被引：66
|
作者：
Lakestani, Mehrdad [2 ]
Dehghan, Mehdi [1 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 08期
关键词：
Cubic B-spline function; Nonlinear Klein-Gordon; Operational matrix of derivative; BOUNDARY VALUE-PROBLEM; NUMERICAL-SOLUTION; DECOMPOSITION METHOD; SUBJECT;
D O I：
10.1016/j.cpc.2010.04.006
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Two numerical techniques based on the finite difference and collocation methods are presented for the solution of nonlinear Klein-Gordon equation. The operational matrix of derivative for the cubic B-spline scaling functions is presented and is utilized to reduce the solution of nonlinear Klein-Gordon equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new techniques. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1392 / 1401
页数：10
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