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...
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2012
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my.iium.irep.264412012-12-04T06:09:13Z http://irep.iium.edu.my/26441/ Analytic treatment of differential equations by modified homotopy perturbation method Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M. QA Mathematics 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. 2012 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/26441/1/ANALYTIC_TREATMENT_OF_DIFFERENTIAL_EQUATIONS_BY_MODIFIED_HOMOTOPY_PERTURBATION_METHOD.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Sellami , Ali and Rahman, M. M. (2012) Analytic treatment of differential equations by modified homotopy perturbation method. In: Proceedings of the 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3-5 July 2012, Kuala Lumpur, Malaysia. |
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QA Mathematics |
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QA Mathematics Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M. Analytic treatment of differential equations by modified homotopy perturbation method |
| description |
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. |
| format |
Conference or Workshop Item |
| author |
Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M. |
| author_facet |
Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M. |
| author_sort |
Chowdhury, Md. Sazzad Hossien |
| title |
Analytic treatment of differential equations by
modified homotopy perturbation method
|
| title_short |
Analytic treatment of differential equations by
modified homotopy perturbation method
|
| title_full |
Analytic treatment of differential equations by
modified homotopy perturbation method
|
| title_fullStr |
Analytic treatment of differential equations by
modified homotopy perturbation method
|
| title_full_unstemmed |
Analytic treatment of differential equations by
modified homotopy perturbation method
|
| title_sort |
analytic treatment of differential equations by
modified homotopy perturbation method |
| publishDate |
2012 |
| url |
http://irep.iium.edu.my/26441/1/ANALYTIC_TREATMENT_OF_DIFFERENTIAL_EQUATIONS_BY_MODIFIED_HOMOTOPY_PERTURBATION_METHOD.pdf http://irep.iium.edu.my/26441/ |
| _version_ |
1643609143700881408 |