A modified algorithm for the Adomian decomposition method with applications to Lotka-Volterra systems

Authors:
Jing Ruan;Zhengyi Lu
Affiliations:
Department of Mathematics, Wenzhou University, Wenzhou 325003, China and Department of Mathematics, Wenzhou Vocational and Technical College, Wenzhou 325003, China;Department of Mathematics, Wenzhou University, Wenzhou 325003, China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

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An accurate solution to the multispecies Lotka-Volterra equations

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Abstract

In this paper, the Adomian decomposition method is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method may provide a solution close to the exact one within a certain error @e. The validity of the modified technique is verified through illustrative examples.