Numerical solutions of the Burgers-Huxley equation by the IDQ method

被引：50

作者：

Tomasiello, S. ^{[1
]}

机构：

[1] Univ Basilicata, Fac Engn, DiSGG, I-85100 Potenza, Italy

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 01期

关键词：

differential quadrature rules; space-time domain; non-linear problems; DIFFERENTIAL QUADRATURE METHOD; TRAVELING-WAVE SOLUTIONS; TIME;

D O I：

10.1080/00207160801968762

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Burgers-Huxley equation has been solved by a generalized version of the Iterative Differential Quadrature (IDQ) method for the first time. The IDQ method is a method based on the quadrature rules. It has been proposed by the author applying to a certain class of non-linear problems. Stability and error analysis are performed, showing the efficiency of the method. Besides, an error bound is tried. In the discussion about the numerical examples, the generalized Burgers-Huxley equation is involved too.

引用

页码：129 / 140

页数：12

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