On a New Reliable Algorithm

A. K. Alomari, M. S. M. Noorani and R. Nazar

International Journal of Differential Equations, 2009, vol. 2009, 1-13

Abstract:

An analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals; that is, HAM is converted into a hybrid numeric-analytic method called the multistage HAM (MSHAM). Comparisons between the MSHAM solutions and the fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for the nonlinear systems of ordinary differential equations.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:710250

DOI: 10.1155/2009/710250

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