Numerical treatment of multi-term time fractional nonlinear KdV equations with weakly singular solutions. (2nd January 2023)

• Record Type: Journal Article
• Authors: Santra, Sudarshan; Mohapatra, Jugal
• Is Part Of: International journal of modelling & simulation. Volume 43:Number 1(2023)
• Page Start: 23
• Page End: 33
• Publication Date: 2023-01-02
• Subjects: Fractional Kdv equation -- Caputo derivative -- Adomain decomposition method -- Laplace transform -- convergence analysis; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2022.2030629
• Languages: English
• ISSNs: 0228-6203

Abstract

ABSTRACT: The main aim of this work is to construct an efficient recursive numerical technique for solving multi-term time fractional nonlinear KdV equation. The fractional derivatives are defined in Caputo sense. A modified Laplace decomposition method is introduced to approximate the solution. The Adomian polynomials play an important role to execute such a recursive process. In addition, the mathematical importance and some applications of KdV equation are discussed. The approximate solution obtained by the proposed method can be expressed in the form of an infinite convergent series. The experimental evidences demonstrate the effectiveness of the proposed method.