An application for linear and nonlinear heat equations by Adomian's decomposition method

Pamuk, SERDAL

doi:10.1016/j.amc.2003.10.051

An application for linear and nonlinear heat equations by Adomian's decomposition method

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Pamuk S.

APPLIED MATHEMATICS AND COMPUTATION, vol.163, no.1, pp.89-96, 2005 (SCI-Expanded)

Publication Type: Article / Article
Volume: 163 Issue: 1
Publication Date: 2005
Doi Number: 10.1016/j.amc.2003.10.051
Journal Name: APPLIED MATHEMATICS AND COMPUTATION
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.89-96
Kocaeli University Affiliated: Yes

Abstract

The particular exact solutions of a linear heat equation, and a nonlinear heat equation that Usually arises in mathematical biology are obtained in both x and t directions using Adomian's decomposition method. In addition, numerical comparison of particular solutions in the decomposition method for linear and nonlinear problems indicates that there is a good agreement between the numerical solutions and particular exact solutions in terms of accuracy and efficiency. (C) 2004 Elsevier Inc. All rights reserved.