Chebyshev Wavelet collocation method for solving generalized Burgers-Huxley equation

被引：42
|
作者：
Celik, Ibrahim [1 ]
机构：
[1] Pamukkale Univ, Fac Arts & Sci, Dept Math, Denizli, Turkey
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 03期
关键词：
Chebyshev wavelets; nonlinear PDE; generalized Burgers-Huxley equation; approximate solution; collocation; subclass65M70; ADOMIAN DECOMPOSITION METHOD; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; OPERATIONAL MATRIX; DIFFUSION; FISHER; MODEL;
D O I：
10.1002/mma.3487
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, new and efficient numerical method, called as Chebyshev wavelet collocation method, is proposed for the solutions of generalized Burgers-Huxley equation. This method is based on the approximation by the truncated Chebyshev wavelet series. By using the Chebyshev collocation points, algebraic equation system has been obtained and solved. Approximate solutions of the generalized Burgers-Huxley equation are compared with exact solutions. These calculations demonstrate that the accuracy of the Chebyshev wavelet collocation solutions is quite high even in the case of a small number of grid points. Copyright (c) 2015John Wiley & Sons, Ltd.
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页码：366 / 377
页数：12
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