Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Research and Journals
2017
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/67380/ http://irep.iium.edu.my/67380/ http://irep.iium.edu.my/67380/1/International%20Journal%20of%20Management%20and%20Applied%20Science-%20ISSN%20%202394-7926%20.pdf |
| Summary: | In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential equations. |
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