A predictor-corrector compact finite difference scheme for Burgers' equation

被引：44

作者：

Zhang, Pei-Guang ^{[1
]}

Wang, Jian-Ping ^{[1
]}

机构：

[1] Peking Univ, Dept Mech & Aerosp Engn, Beijing 100871, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 03期

关键词：

Burgers' equation; Finite difference; Predictor-corrector algorithm; Compact derivatives approximation; MacCormack method; NUMERICAL-SOLUTION;

D O I：

10.1016/j.amc.2012.06.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a compact predictor-corrector finite difference scheme is proposed to solve the Burgers' equation. The scheme is based on compact derivatives approximation, by which we get the spatial approximations of first-order derivatives and second-order derivatives with fourth-order accuracy (both for inner nodes and boundary nodes). For the first time derivative item, a two-step predictor-corrector method called MacCormack method is used. Numerical experiments show the scheme is in good agreement with the exact solutions. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：892 / 898

页数：7

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