TimeFractional FornbergWhitham Equation Solved by Fractional Homotopy Perturbation Transform Method

International Journal of Mathematics Trends and Technology (IJMTT)  
© 2022 by IJMTT Journal  
Volume68 Issue6  
Year of Publication : 2022  
Authors : Subodh Pratap Singh, Amardeep Singh 

10.14445/22315373/IJMTTV68I6P502 
How to Cite?
Subodh Pratap Singh, Amardeep Singh, "TimeFractional FornbergWhitham Equation Solved by Fractional Homotopy Perturbation Transform Method ," International Journal of Mathematics Trends and Technology, vol. 68, no. 6, pp. 816, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTTV68I6P502
Abstract
The paper presents the solution of time fractional fornbergwhitham equation by a fractional homotopy perturbation method (FHPTM). The traditional Adomian Decomposition method (ADM) for solving timefractional fornbergwhitham 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, Fornbergwhitham equation, Adomian Decomposition method, Homotopy analysis method, Partial differential equation, Perturbation methods.
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