Restrictive Taylor's approximation for solving convection-diffusion equation

被引：27

作者：

Ismail, HNA

Elbarbary, EME

Salem, GSE

机构：

[1] Benha Higher Inst Technol, Banha, Egypt

[2] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 147卷 / 02期

关键词：

restrictive Taylor's approximation; exponential matrix; convection-diffusion equation; finite difference;

D O I：

10.1016/S0096-3003(02)00672-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall develop a new explicit method for solve the convection-diffusion equation, which will exhibit several advantageous features: highly accurate, fast and with good results whatever the exact solution is too large. The stability region is discussed. The error upper bound is proved. The obtained results for a test problem compared with the exact solution and its Douglas approximation, it proves the mentioned advantages. (C) 2002 Elsevier Inc. All rights reserved.

引用

页码：355 / 363

页数：9

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