On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. I...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/2103/ http://irep.iium.edu.my/2103/ http://irep.iium.edu.my/2103/1/On_the_numerical_solution_of_linear_stiff_IVPs_by_modified_homotopy_perturbation_method.pdf |
| Summary: | In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. In this work, a class of linear stiff initial value problems (IVPs) are solved by the classical homotopy per-turbation method (HPM), modified homotopy perturbation method and an explicit Runge-Kutta-type method (RK). Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving stiff IVPs. The results prove that the modified HPM is a powerful tool for the solution of linear stiff IVPs. |
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