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On a New Reliable Algorithm

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  • A. K. Alomari
  • M. S. M. Noorani
  • R. Nazar

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.

Suggested Citation

  • A. K. Alomari & M. S. M. Noorani & R. Nazar, 2009. "On a New Reliable Algorithm," International Journal of Differential Equations, Hindawi, vol. 2009, pages 1-13, February.
    • Handle: RePEc:hin:jnijde:710250
    DOI: 10.1155/2009/710250
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