Sumudu Homotopy Perturbation Technique

1
Devendra Kumar
Devendra Kumar
2
Jagdev Singh
Jagdev Singh
3
Sushila
Sushila
1 Jagan Nath Gupta Institute of Engineering and Technology

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GJSFR Volume 11 Issue 6

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In this paper, a combinatory method of the sumudu transform and the homotopy perturbation method is proposed for solving one dimensional non-homogeneous partial differential equations with a variable coefficient. This method presents an accurate methodology to solve nonhomogeneous partial differential equations with a variable coefficient. The obtained approximate solutions are compared with exact solutions and those obtained by other analytical methods, showing reliability of the present method. The comparison shows a precise agreement between the results, and introduces this new method as an applicable one which it needs fewer computations and is much easier and more convenient than others, so it can be widely used in science and engineering.

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No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

Devendra Kumar. 1970. \u201cSumudu Homotopy Perturbation Technique\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 6): .

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September 7, 2011

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In this paper, a combinatory method of the sumudu transform and the homotopy perturbation method is proposed for solving one dimensional non-homogeneous partial differential equations with a variable coefficient. This method presents an accurate methodology to solve nonhomogeneous partial differential equations with a variable coefficient. The obtained approximate solutions are compared with exact solutions and those obtained by other analytical methods, showing reliability of the present method. The comparison shows a precise agreement between the results, and introduces this new method as an applicable one which it needs fewer computations and is much easier and more convenient than others, so it can be widely used in science and engineering.

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Sumudu Homotopy Perturbation Technique

Devendra Kumar
Devendra Kumar Jagan Nath Gupta Institute of Engineering and Technology
Jagdev Singh
Jagdev Singh
Sushila
Sushila

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