Sumudu Homotopy Perturbation Technique

Devendra Kumar; Jagdev Singh

Sumudu Homotopy Perturbation Technique

Devendra Kumar * §

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Jagdev Singh

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§ Jagan Nath Gupta Institute of Engineering and Techno...

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Abstract

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.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Devendra Kumar, Jagdev Singh. 1970. "Sumudu Homotopy Perturbation Technique". Global Journal of Science Frontier Research GJSFR Volume 11 (GJSFR Volume 11 Issue 6).

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GJSFR Volume 11 Issue 6

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Homotopy perturbation method Non-homogenous partial differential equations Sumudu transform

Submission ReceivedJuly 19, 2011
Peer Review Double Blind
Handling Editor
Accepted August 17, 2011
Published August 31, 2011

Version of record

v1.2

Issue date

September 7, 2011

Language

English

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Article Matrices

Total Score: 147

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Devendra Kumar, Jagdev Singh, Sushila (PhD/Dr. count: 0)

View Count (all-time): 320

Total Views (Real + Logic): 5492

Total Downloads (simulated): 495

Publish Date: 2011 08, Wed

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Total Views: 5.5K

Total Downloads: 495

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