Applications of Laplace Homotopy Analysis Method for Solving Fractional Heat-And Wave-like Equations

Applications of Laplace Homotopy Analysis Method for Solving Fractional Heat-And Wave-like Equations

Pramod Kumar

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Dr. V.G.Gupta

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α Jaipur National University

Applications of Laplace Homotopy Analysis Method for Solving Fractional Heat-And Wave-like Equations

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Abstract

In this paper, we apply Laplace homotopy analysis method for solving various fractional heat-and wave-like equations. This method is combined form of homotopy analysis method and Laplace transform. The proposed algorithm presents a procedure of construct the base function and gives a high order deformation equation in simple form. The purpose of using the Laplace transform is to overcome the deficiency that is mainly caused by unsatisfied conditions in the other analytical techniques. Numerical examples demonstrate the capability of LHAM for fractional partial differential equations.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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How to Cite This Article

Pramod Kumar. 2012. \u201cApplications of Laplace Homotopy Analysis Method for Solving Fractional Heat-And Wave-like Equations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F6): .

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GJSFR Volume 12 Issue F6
Pg. 39- 48

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

fractional heat- and wave-like equations homotopy analysis method Laplace homotopy analysis method

Submission ReceivedApril 6, 2012
Peer Review Double Blind
Handling Editor
Accepted April 28, 2012
Published May 12, 2012

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v1.2

Issue date

June 16, 2012

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Article Matrices

Total Score: 107

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Dr. V.G.Gupta, Pramod Kumar (PhD/Dr. count: 1)

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Publish Date: 2012 06, Sat

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Total Downloads: 2784

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