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| Title: | A modified algorithm for the homotopy perturbation method with applications to nonlinear population dynamics models |
| Authors: | Md. Sazzad, Hossien Chowdhury S. M., Afzal Hoq |
| E-mail: | sazzadbd@iiu.edu.my afzalhoqsu@gmail.com |
| Keywords: | Homotopy-perturbation method Lotka-Volterra systems Long term behavior Regional Conference on Applied and Engineering Mathematics (RCAEM) |
| Issue Date: | 2-Jun-2010 |
| Publisher: | Universiti Malaysia Perlis (UniMAP) |
| Department: | Institut Matematik Kejuruteraan |
| Citation: | Vol.2(22), p.269 |
| Series/Report no.: | Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 |
| Abstract: | 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. |
| 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. |
| URI: | http://hdl.handle.net/123456789/10276 |
| Appears in Collections: | Conference Papers
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Files in This Item:
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Description |
Size | Format |
| R111.pdf | Access is limited to UniMAP community | 13.73 kB | Adobe PDF | View/Open |
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