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Adomian decomposition and Pade approximate for solving differential-difference equation

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Indexed by:期刊论文

Date of Publication:2011-10-15

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:Scopus、SCIE、EI

Volume:218

Issue:4

Page Number:1371-1378

ISSN No.:0096-3003

Key Words:Differential-difference equation; Adomian decomposition method; Pade-ADM approximation; Volterra equation; Discrete mKdV equation

Abstract:In this paper, we apply the Adomian decomposition method and Pade-approximate to solving the differential-difference equations (DDEs) for the first time. A simple but typical example is used to illustrate the validity and the great potential of the Adomian decomposition method (ADM) in solving DDEs. Comparisons are made between the results of the proposed method and exact solutions. The results show that ADM is an attractive method in solving the differential-difference equations. (C) 2011 Elsevier Inc. All rights reserved.

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