A new application of multistage homotopy perturbation method to the chaotic Rössler system
In this paper, we present a numerical scheme based on an adaptation of the standard homotopy-perturbation method (HPM) is applied to the Chaotic Rössler system. The standard HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Comparisons with the fourth-order Ru...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Institute of Physics
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/26442/ http://irep.iium.edu.my/26442/ http://irep.iium.edu.my/26442/ http://irep.iium.edu.my/26442/1/A_new_application_of_multistage_homotopy_perturbation_method_to_the_chaotic_Rossler_system.pdf |
| Summary: | In this paper, we present a numerical scheme based on an adaptation of the standard homotopy-perturbation method
(HPM) is applied to the Chaotic Rössler system. The standard HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Comparisons with the fourth-order Runge-Kutta method (RK4) and standard HPM show that the MHPM is a reliable method for nonlinear equations. |
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