Analytic treatment of differential equations by modified homotopy perturbation method
In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is exam...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/26441/ http://irep.iium.edu.my/26441/1/ANALYTIC_TREATMENT_OF_DIFFERENTIAL_EQUATIONS_BY_MODIFIED_HOMOTOPY_PERTURBATION_METHOD.pdf |
| Summary: | In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential equations, the modified HPM yields the exact
solutions in two iterations only. |
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