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.
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页码：355 / 363
页数：9
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