A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models

1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.

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Main Authors: Md. Sazzad, Hossien Chowdhury, S. M., Afzal Hoq
Other Authors: sazzadbd@iiu.edu.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
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Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10276
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spelling my.unimap-102762010-11-24T07:06:18Z A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models Md. Sazzad, Hossien Chowdhury S. M., Afzal Hoq sazzadbd@iiu.edu.my afzalhoqsu@gmail.com Homotopy-perturbation method Lotka-Volterra systems Long term behavior Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. To apply the modified homotopy-perturbation method (MHPM), we choose Population dynamics model as model problem. The accuracy of this method is examined by comparison with the fourth-order Runge-Kutta method (RK4). The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations. 2010-11-24T07:06:18Z 2010-11-24T07:06:18Z 2010-06-02 Working Paper Vol.2(22), p.269 http://hdl.handle.net/123456789/10276 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Homotopy-perturbation method
Lotka-Volterra systems
Long term behavior
Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle Homotopy-perturbation method
Lotka-Volterra systems
Long term behavior
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Md. Sazzad, Hossien Chowdhury
S. M., Afzal Hoq
A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models
description 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
author2 sazzadbd@iiu.edu.my
author_facet sazzadbd@iiu.edu.my
Md. Sazzad, Hossien Chowdhury
S. M., Afzal Hoq
format Working Paper
author Md. Sazzad, Hossien Chowdhury
S. M., Afzal Hoq
author_sort Md. Sazzad, Hossien Chowdhury
title A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models
title_short A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models
title_full A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models
title_fullStr A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models
title_full_unstemmed A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models
title_sort modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2010
url http://dspace.unimap.edu.my/xmlui/handle/123456789/10276
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score 13.222552