A Compact Finite Difference Method for the Solution of the Generalized Burgers-Fisher Equation

被引：43

作者：

Sari, Murat ^{[1
]}

Gurarslan, Gurhan ^{[2
]}

Dag, Idris ^{[3
]}

机构：

[1] Pamukkale Univ, Dept Math, Fac Art & Sci, TR-20070 Denizli, Turkey

[2] Pamukkale Univ, Dept Civil Engn, Fac Engn, TR-20070 Denizli, Turkey

[3] Eskisehir Osmangazi Univ, Dept Math, Fac Art & Sci, TR-26480 Eskisehir, Turkey

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 01期

关键词：

compact finite difference method; generalized Burgers-Fisher equation; nonlinear PDE; Fisher equation; PARABOLIC EQUATIONS; SCHEMES; SIMULATION;

D O I：

10.1002/num.20421

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, numerical Solutions of the generalized Burgers-Fisher equation are obtained using compact finite difference method with minimal compuatational effort. To verify this, a combination of a sixth-order compact finite difference scheme in space and a low-storage third-order total variation diminishing Runge-Kutta scheme in time have been used. The computed results with the use Of this technique have been compared with the exact Solution to show the accuracy of it. The approximate solutions to the equation have been computed without transforming the equation and without using linearization. Comparisons indicate that there is a very good agreement between the numerical solutions and the exact solutions in terms of accuracy. The present method is seen to be a very good alternative to some existing techniques for realistic problems. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 125-134, 2010

引用

页码：125 / 134

页数：10

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