文章基本信息

标题：Numerical Solution of Coupled Burgers' Equation Using Finite Difference and Sinc Collocation Method
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作者：Linjun Wang ; Honglei Li ; Yiping Meng 等
期刊名称：Engineering Letters
印刷版ISSN：1816-093X
电子版ISSN：1816-0948
出版年度：2021
卷号：29
期号：2
页码：668-674
语种：English
出版社：Newswood Ltd
摘要：This paper is concerned with numerical solution ofcoupled Burgers’ equation by the combination of finite difference and sinc collocation method. Firstly, we derive the semidiscrete scheme by approximating the first order derivative oftime with θ-weighted scheme. Different schemes can be obtainedby selecting different values of θ. After that, a fully discretescheme is constructed through the use of sinc collocation andfinite difference method to approximate the first and secondorder derivatives of space. The stability of the fully discretescheme is analyzed by representing the proposed scheme inmatrix form. For Burgers’ equation, the similar results couldbe obtained. At last, some numerical examples are presented toillustrate the efficiency and superiority of present method forsolving Burgers’ and coupled Burgers’ equation.
关键词：Burgers’ equation; Coupled Burgers’ equation; Finite difference method; Sinc collocation method