Time-Fractional Fornberg-Whitham Equation Solved by
Fractional Homotopy Perturbation Transform Method

Subodh Pratap Singh; Amardeep Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V68I6P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 6 | Year 2022 | Article Id. IJMTT-V68I6P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I6P502

Time-Fractional Fornberg-Whitham Equation Solved by Fractional Homotopy Perturbation Transform Method

Subodh Pratap Singh, Amardeep Singh

Received	Revised	Accepted	Published
07 Apr 2022	25 May 2022	04 Jun 2022	14 Jun 2022

Abstract

The paper presents the solution of time fractional fornberg-whitham equation by a fractional homotopy perturbation method (FHPTM). The traditional Adomian Decomposition method (ADM) for solving time-fractional fornberg-whitham equation gives good approximation in the neighborhood of initial conditions only. Here, we have presented the solution with the method FHPTM. The analysis suggests that FHPTM shows more accuracy as compared to Homotopy Analysis Method (HAM) and Adomian Decomposition Method (ADM). Obtained numerical results shows the efficacy of the method.

Keywords

Fractional homotopy perturbation transform method, Fornberg-whitham equation, Adomian Decomposition method, Homotopy analysis method, Partial differential equation, Perturbation methods.

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Citation :

Subodh Pratap Singh, Amardeep Singh, "Time-Fractional Fornberg-Whitham Equation Solved by Fractional Homotopy Perturbation Transform Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 6, pp. 8-16, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P502