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New numerical study of Adomian method applied to a diffusion model

New numerical study of Adomian method applied to a diffusion model We prove in this paper the convergence of Adomian method applied to linear or non‐linear diffusion equations. The results show that the convergence of this method is not influenced by the choice of the linear inversible operator L in the equation to be solved. Furthermore we give some particular examples about a new canonical form where the initial value u 0 of Adomian series is chosen in some special form which verifies the initial and boundary conditions. Then Adomian series converges to exact solution or all approximated (truncated series) solutions verify these conditions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

New numerical study of Adomian method applied to a diffusion model

Kybernetes , Volume 31 (1): 15 – Feb 1, 2002

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References (12)

Publisher
Emerald Publishing
Copyright
Copyright © 2002 MCB UP Ltd. All rights reserved.
ISSN
0368-492X
DOI
10.1108/03684920210413764
Publisher site
See Article on Publisher Site

Abstract

We prove in this paper the convergence of Adomian method applied to linear or non‐linear diffusion equations. The results show that the convergence of this method is not influenced by the choice of the linear inversible operator L in the equation to be solved. Furthermore we give some particular examples about a new canonical form where the initial value u 0 of Adomian series is chosen in some special form which verifies the initial and boundary conditions. Then Adomian series converges to exact solution or all approximated (truncated series) solutions verify these conditions.

Journal

KybernetesEmerald Publishing

Published: Feb 1, 2002

Keywords: Numerical methods; Models

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