Numerical solution of Burgers' equation with restrictive Taylor approximation

被引：24

作者：

Gülsu, M ^{[1
]}

Özis, T

机构：

[1] Mugla Univ, Fac Sci, Dept Math, TR-48000 Mugla, Turkey

[2] Ege Univ, Fac Sci, Dept Math, TR-35100 Izmir, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 171卷 / 02期

关键词：

approximations of the functions; Burgers' equation; finite difference;

D O I：

10.1016/j.amc.2005.01.106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we have applied restrictive Taylor approximation classical explicit finite difference method to the Burgers' equation with a set of initial and boundary conditions to obtain its numerical solution. The stability region and truncation error of the new method are discussed. The accuracy of the proposed method is demonstrated by the two test problems. The numerical results are found in good agreement with the exact solutions. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1192 / 1200

页数：9

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