Homotopy-perturbation method for solving linear and nonlinear differential equation
In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a seq...
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| Format: | Conference or Workshop Item |
| Language: | English English English English |
| Published: |
2015
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| Online Access: | http://irep.iium.edu.my/44868/1/ICMSCE2015-Keynotes-1.pdf http://irep.iium.edu.my/44868/2/Webpage_for_Invited_speakers.pdf http://irep.iium.edu.my/44868/3/ICMSCE2015Program.pdf http://irep.iium.edu.my/44868/11/Certificates_of_presentation.pdf http://irep.iium.edu.my/44868/ |
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| Summary: | In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the MHPM technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The MHPM is tested for several examples. Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving chaotic and hyperchaotic systems. The results obtained with minimum amount of computational work show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems. |
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