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

Article ID

2OS6R

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

Dr. V.G.Gupta

Pramod Kumar Jaipur National University,Jaipur

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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.

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

Authors

Dr. V.G.Gupta

Pramod Kumar Jaipur National University,Jaipur

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How to Cite

Pramod Kumar. 2012. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F6): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

GJSFR Volume 12 Issue F6
Pg. 39- 48

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Submission Received April 6, 2012
Accepted April 28, 2012
Published May 12, 2012

Keywords

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

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)

View Count (all-time): 93

Total Views (Real + Logic): 5272

Total Downloads (simulated): 2644

Publish Date: 2012 06, Sat

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Total Views: 5272

Total Downloads: 2644

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