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Indexed by:期刊论文

Date of Publication:2008-11-01

Journal:COMPUTERS & MATHEMATICS WITH APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:56

Issue:9

Page Number:2289-2293

ISSN No.:0898-1221

Key Words:Homotopy analysis method; Differential difference equation; Homotopy-Pade technique; Explicit analytic solution; Lotka-Volterra equation

Abstract:In the paper, we generalized the homotopy analysis method to solve Lotka-Volterra equation. As a simple but typical example, it illustrates the validity and the great potential of the homotopy analysis method to solve differential difference equations. Comparisons are made between the results of the proposed method and exact solutions. The results reveal that the proposed method is valid for the Lotka-Volterra equation. (C) 2008 Elsevier Ltd. All rights reserved.