Solution of prey–predator problem by numeric–analytic technique

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 co...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Mawa, S.
Format: Article
Language:English
Published: Elsevier 2007
Subjects:
Online Access:http://irep.iium.edu.my/6654/
http://irep.iium.edu.my/6654/1/Solution_of_prey%E2%80%93predator_problem_by_numeric%E2%80%93analytic_technique.pdf
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author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Mawa, S.
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Mawa, S.
author_sort Chowdhury, Md. Sazzad Hossien
building IIUM Repository
collection Online Access
description 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.
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institution International Islamic University Malaysia
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publishDate 2007
publisher Elsevier
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spelling iium-66542013-04-03T08:24:18Z http://irep.iium.edu.my/6654/ Solution of prey–predator problem by numeric–analytic technique Chowdhury, Md. Sazzad Hossien Hashim, Ishak Mawa, S. QA76 Computer software 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. Elsevier 2007 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6654/1/Solution_of_prey%E2%80%93predator_problem_by_numeric%E2%80%93analytic_technique.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Mawa, S. (2007) Solution of prey–predator problem by numeric–analytic technique. Communications in Nonlinear Science and Numerical Simulation, 14. pp. 1008-1012. ISSN 1007-5704 http://www.sciencedirect.com/science/journal/10075704
spellingShingle QA76 Computer software
Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Mawa, S.
Solution of prey–predator problem by numeric–analytic technique
title Solution of prey–predator problem by numeric–analytic technique
title_full Solution of prey–predator problem by numeric–analytic technique
title_fullStr Solution of prey–predator problem by numeric–analytic technique
title_full_unstemmed Solution of prey–predator problem by numeric–analytic technique
title_short Solution of prey–predator problem by numeric–analytic technique
title_sort solution of prey–predator problem by numeric–analytic technique
topic QA76 Computer software
url http://irep.iium.edu.my/6654/
http://irep.iium.edu.my/6654/
http://irep.iium.edu.my/6654/1/Solution_of_prey%E2%80%93predator_problem_by_numeric%E2%80%93analytic_technique.pdf