On a New Reliable Algorithm | Zendy

A‎. ‎K‎. Alomari | Zendy; Mohd Salmi Md Noorani | Zendy; Roslinda Nazar | Zendy

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On a New Reliable Algorithm

Author(s) -

A‎. ‎K‎. Alomari,

Mohd Salmi Md Noorani,

Roslinda Nazar

Publication year - 2009

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2009/710250

Subject(s) - mathematics , homotopy analysis method , ordinary differential equation , sequence (biology) , runge–kutta methods , nonlinear system , algorithm , expression (computer science) , numerical analysis , homotopy , mathematical optimization , differential equation , mathematical analysis , computer science , pure mathematics , physics , quantum mechanics , biology , genetics , programming language

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 solutionof the problem in a sequence of time intervals; that is, HAM is converted into ahybrid 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 toolfor the nonlinear systems of ordinary differential equations

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