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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Universiti Malaysia Perlis (UniMAP)
2010
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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 |
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Homotopy-perturbation method Lotka-Volterra systems Long term behavior Regional Conference on Applied and Engineering Mathematics (RCAEM) |
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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 |
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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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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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1643789800301395968 |
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13.222552 |