An efficient numerical algorithm for the fractional Drinfeld–Sokolov–Wilson equation

Jagdev Singh, Devendra Kumar, Dumitru Baleanu and Sushila Rathore

Applied Mathematics and Computation, 2018, vol. 335, issue C, 12-24

Abstract: The fundamental purpose of the present paper is to apply an effective numerical algorithm based on the mixture of homotopy analysis technique, Sumudu transform approach and homotopy polynomials to obtain the approximate solution of a nonlinear fractional Drinfeld–Sokolov–Wilson equation. The nonlinear Drinfeld–Sokolov–Wilson equation naturally occurs in dispersive water waves. The uniqueness and convergence analysis are shown for the suggested technique. The convergence of the solution is fixed and managed by auxiliary parameter ℏ. The numerical results are shown graphically. Results obtained by the application of the technique disclose that the suggested scheme is very accurate, flexible, effective and simple to use.

Keywords: Drinfeld–Sokolov-–Wilson equation; Caputo fractional derivative; Convergence analysis; HASTM (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (23)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:335:y:2018:i:c:p:12-24

DOI: 10.1016/j.amc.2018.04.025

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