Solution of prey-predator problem by numeric-analytic technique

M. S.H. Chowdhury; I. Hashim; S. Mawa

doi:10.1016/j.cnsns.2007.11.006

Solution of prey-predator problem by numeric-analytic technique

M. S.H. Chowdhury
, I. Hashim
, S. Mawa

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, an analytical expression for the solution of the prey-predator problem by an adaptation of the classical Adomian decomposition method (ADM). The ADM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, i.e. the classical ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). Numerical comparisons with the classical ADM, and the classical fourth-order Rungge-Kutta (RK4) methods are presented.

Original language	English
Pages (from-to)	1008-1012
Number of pages	5
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	14
Issue number	4
DOIs	https://doi.org/10.1016/j.cnsns.2007.11.006
State	Published - Apr 2009
Externally published	Yes

Keywords

Adomian decomposition method
Non-linear ODEs
Prey-predator problem

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10.1016/j.cnsns.2007.11.006

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abstract = "In this paper, an analytical expression for the solution of the prey-predator problem by an adaptation of the classical Adomian decomposition method (ADM). The ADM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, i.e. the classical ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). Numerical comparisons with the classical ADM, and the classical fourth-order Rungge-Kutta (RK4) methods are presented.",

keywords = "Adomian decomposition method, Non-linear ODEs, Prey-predator problem",

author = "Chowdhury, \{M. S.H.\} and I. Hashim and S. Mawa",

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AU - Hashim, I.

AU - Mawa, S.

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N2 - In this paper, an analytical expression for the solution of the prey-predator problem by an adaptation of the classical Adomian decomposition method (ADM). The ADM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, i.e. the classical ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). Numerical comparisons with the classical ADM, and the classical fourth-order Rungge-Kutta (RK4) methods are presented.

AB - In this paper, an analytical expression for the solution of the prey-predator problem by an adaptation of the classical Adomian decomposition method (ADM). The ADM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, i.e. the classical ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). Numerical comparisons with the classical ADM, and the classical fourth-order Rungge-Kutta (RK4) methods are presented.

KW - Adomian decomposition method

KW - Non-linear ODEs

KW - Prey-predator problem

UR - https://www.scopus.com/pages/publications/55549111857

U2 - 10.1016/j.cnsns.2007.11.006

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 4

ER -

Solution of prey-predator problem by numeric-analytic technique

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Keywords

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