A spectral domain decomposition approach for the generalized Burger's-Fisher equation

被引：39

作者：

Golbabai, A. ^{[1
]}

Javidi, M. ^{[1
,2
]}

机构：

[1] Iran Univ Sci & Technol, Dept Math, Tehran 16844, Iran

[2] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 01期

关键词：

VARIATIONAL ITERATION METHOD; PSEUDOSPECTRAL DIFFERENTIATION MATRICES; HOMOTOPY PERTURBATION METHOD; NONLINEAR-WAVE EQUATIONS; EXP-FUNCTION METHOD; NUMERICAL-SIMULATION; APPROXIMATE SOLUTION; EXPLICIT SOLUTIONS; DERIVATIVES; GENERATION;

D O I：

10.1016/j.chaos.2007.04.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we use the spectral collocation method using Chebyshev polynomials for spatial derivatives and fourth order Runge Kutta method for time integration to solve the generalized Burger's Fisher equation (B-F). Firstly, theory of application of Chebyshev spectral collocation method (CSCM) and domain decomposition oil the generalized Burger's-Fisher equation is presented. This method yields a system of ordinary differential algebraic equations (DAEs). Secondly, we use fourth order Runge-Kutta formula for the numerical integration of the system of DAEs. The numerical results obtained by this way have been compared with the exact solution to show the efficiency of the method. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：385 / 392

页数：8

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