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论文类型：期刊论文

发表时间：2008-11-01

发表刊物：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：56

期号：9

页面范围：2289-2293

ISSN号：0898-1221

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

摘要：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.