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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my.iium.irep.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 REM 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 |
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QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Mawa, S. Solution of prey–predator problem by numeric–analytic technique |
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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. |
format |
Article |
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 |
title |
Solution of prey–predator problem by numeric–analytic technique |
title_short |
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_sort |
solution of prey–predator problem by numeric–analytic technique |
publisher |
Elsevier |
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2007 |
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http://irep.iium.edu.my/6654/1/Solution_of_prey%E2%80%93predator_problem_by_numeric%E2%80%93analytic_technique.pdf http://irep.iium.edu.my/6654/ http://www.sciencedirect.com/science/journal/10075704 |
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