A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
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. The modified method provides a solution close to the exact one within a certain error. The accuracy of this...
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| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf http://irep.iium.edu.my/2245/ http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/applied_maths/AM-Chowdhury.pdf |
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| Summary: | 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. The modified method provides a solution close to the exact one within a certain error. The accuracy of this method is examined by comparison with the Adomian decomposition method (ADM). The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations. |
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