Title of article
New treatment of fractional Fornberg–Whitham equation via Laplace transform
Author/Authors
Singh, Jagdev JaganNath University - Department of Mathematics, India , Kumar, Devendra JaganNath Gupta Institute of Engineering and Technology - Department of Mathematics, India , Kumar, Sunil National Institute of Technology - Department of Mathematics, India
From page
557
To page
562
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.
Keywords
Fractional Fornberg–Whitham equation , Wave breaking , Laplace transform , New homotopy perturbation transform method , He’s polynomials
Journal title
Ain Shams Engineering Journal
Journal title
Ain Shams Engineering Journal
Record number
2648842
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