Generalizing homotopy analysis method to solve Lotka-Volterra equation

Authors:
L. Zou;Z. Zong;G. H. Dong
Affiliations:
School of Naval Architecture and Ocean Engineering, Dalian University of Technology, Dalian, 116085, China;School of Naval Architecture and Ocean Engineering, Dalian University of Technology, Dalian, 116085, China;State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116085, China
Venue:
Computers & Mathematics with Applications
Year:
2008

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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.