The Convergence Analysis of the Decomposition Method for the (1+1)-Parabolic Problem in Nonuniform Media

被引:0
|
作者
M. M. Rodrigues
E. M. Rocha
机构
[1] University of Aveiro,Department of Mathematics
来源
Acta Applicandae Mathematicae | 2010年 / 112卷
关键词
Decomposition method; Reaction diffusion convection equation; Quasilinear parabolic equation; 35K55; 35K57; 35A35;
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摘要
A modified Adomian decomposition method is used to find approximate solutions for the reaction diffusion convection equation in nonuniform medium, i.e., with space-dependent coefficients. In this approach, the solutions are found in the form of a convergent power series with easily computed components. Convergence analysis of modified Adomian series solution for a class of these type of PDEs is discussed.
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页码:299 / 308
页数:9
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