A weighted algorithm based on Adomian decomposition method for solving an special class of evolution equations

被引：14
|
作者：
Shidfar, A. [1 ]
Garshasbi, M. [1 ]
机构：
[1] Iran Univ Sci & Technol, Dept Math, Tehran, Iran
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 04期
关键词：
Adomian decomposition method; Evolution equation; Nonlinear advection; Diffusion and reaction equation; PARTIAL-DIFFERENTIAL EQUATIONS; CONVERGENCE; DIFFUSION; SCHEME;
D O I：
10.1016/j.cnsns.2008.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A particular PDE having nonlinear advection, diffusion and reaction subject to initial and boundary conditions is investigated by using an algorithm based on Adomian decomposition method. This algorithm uses initial and boundary conditions simultaneously and effectively for constructing the solution. Some examples are considered to illustrate the ability of this algorithm. (c) 2008 Elsevier B.V. All rights reserved.
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页码：1146 / 1151
页数：6
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