The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier, Inc.
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6663/1/The_multistage_homotopy-perturbation_method__A_powerful_scheme_for_handling_the_Lorenz_system.pdf http://irep.iium.edu.my/6663/ http://www.sciencedirect.com/science/article/pii/S0960077907008211 |
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| Summary: | In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for the nonlinear systems of ODEs |
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