Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets

被引：57

作者：

Zhou, Fengying ^{[1
]}

Xu, Xiaoyong ^{[1
]}

机构：

[1] E China Inst Technol, Sch Sci, Nanchang 330013, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 247卷

基金：

中国国家自然科学基金;

关键词：

The second kind Chebyshev wavelet; Convection diffusion equation; Partial differential equation; Operational matrix of integration; Collocation method; PARABOLIC PROBLEMS; SYSTEMS; SCHEME;

D O I：

10.1016/j.amc.2014.08.091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical method for solving convection diffusion equations is presented. The method is based upon the second kind Chebyshev wavelets approximation. The second kind Chebyshev wavelets operational matrix of integration is derived and utilized to transform the equation to a system of algebraic equations by combining collocation method. Numerical examples show that the proposed method has good efficiency and precision. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：353 / 367

页数：15

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