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

The Convergence Analysis of the Decomposition Method for the (1+1)-Parabolic Problem in... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

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

Acta Applicandae Mathematicae , Volume 112 (3) – Jun 20, 2010

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2010 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-010-9573-7
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jun 20, 2010

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