文章基本信息

标题：Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method
本地全文：下载
作者：A. Sami Bataineh ; M. S. M. Noorani ; I. Hashim 等
期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2008
卷号：2008
DOI：10.1155/2008/816787
出版社：Hindawi Publishing Corporation
摘要：The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysis method (HAM). The continuous solution for the nonlinear system is given, which provides a convenient and straightforward approach to calculate the dynamics of the system. The HAM continuous solution generated by polynomial base functions is of comparable accuracy to the purely numerical fourth-order Runge-Kutta method. The convergence theorem for the three-dimensional case is also given.