New treatment of fractional Fornberg-Whitham equation via Laplace transform

Jagdev Singh; Devendra Kumar; Sunil Kumar

doi:10.1016/j.asej.2012.11.009

New treatment of fractional Fornberg-Whitham equation via Laplace transform

Jagdev Singh
, Devendra Kumar
, Sunil Kumar

Jagan Nath University
Jagan Nath Gupta Institute of Engineering and Technology
National Institute of Technology Jamshedpur

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg-Whitham equation in wave breaking. The new homotopy perturbation transform method is combined form of Laplace transform, homotopy perturbation method and He's polynomials. The nonlinear terms can be easily handled by the use of He's polynomials. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.

Original language	English
Pages (from-to)	557-562
Number of pages	6
Journal	Ain Shams Engineering Journal
Volume	4
Issue number	3
DOIs	https://doi.org/10.1016/j.asej.2012.11.009
State	Published - Sep 2013
Externally published	Yes

Keywords

Fractional Fornberg-Whitham equation
He's polynomials
Laplace transform
New homotopy perturbation transform method
Wave breaking

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10.1016/j.asej.2012.11.009

Cite this

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title = "New treatment of fractional Fornberg-Whitham equation via Laplace transform",

abstract = "In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg-Whitham equation in wave breaking. The new homotopy perturbation transform method is combined form of Laplace transform, homotopy perturbation method and He's polynomials. The nonlinear terms can be easily handled by the use of He's polynomials. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.",

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author = "Jagdev Singh and Devendra Kumar and Sunil Kumar",

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AU - Singh, Jagdev

AU - Kumar, Devendra

AU - Kumar, Sunil

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N2 - In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg-Whitham equation in wave breaking. The new homotopy perturbation transform method is combined form of Laplace transform, homotopy perturbation method and He's polynomials. The nonlinear terms can be easily handled by the use of He's polynomials. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.

AB - In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg-Whitham equation in wave breaking. The new homotopy perturbation transform method is combined form of Laplace transform, homotopy perturbation method and He's polynomials. The nonlinear terms can be easily handled by the use of He's polynomials. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.

KW - Fractional Fornberg-Whitham equation

KW - He's polynomials

KW - Laplace transform

KW - New homotopy perturbation transform method

KW - Wave breaking

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EP - 562

JO - Ain Shams Engineering Journal

JF - Ain Shams Engineering Journal

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ER -

New treatment of fractional Fornberg-Whitham equation via Laplace transform

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Keywords

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