Python Approach For Solving Fractional Order Modified KdV Burger’s Equation By Adomian Decomposition Method

Chittaranjan Pawar; Kalyanrao Takale; Shrikisan Gaikwad

doi:10.26713/cma.v17i2.3457

Authors

Chittaranjan Pawar Department of Mathematics, C.H.M.E. Society’s Bhonsala Military College, Nashik 422005, Maharashtra, India https://orcid.org/0009-0009-5216-078X
Kalyanrao Takale Department of Mathematics, RNC Arts, JDB Commerce and NSC Science College, Nashik Road, Nashik 422101, Maharashtra, India
Shrikisan Gaikwad Department of Mathematics, New Arts, Commerce and Science College, Ahmednagar 414001, Maharashtra, India

DOI:

https://doi.org/10.26713/cma.v17i2.3457

Keywords:

Fractional order differential equation, Caputo derivative, ADM, KDV Burger equation, Python

Abstract

The present work is devoted to solve fractional order modified KdV Burger’s equation. We consider a time fractional order modified KDV Burger’s equation in the Caputo sense. Adomian decomposition method is employed to find the approximate solution of this equation. We developed Python program for Adomian Decomposition Method to find numerical solutions. We obtained the approximate solutions of time fractional order modified KDV Burger’s equation by considering higher nonlinearity. The obtained results are compared with exact solution. The Adomian Decomposition Method provides an approach for approximating the solution of highly non-linear equations of fractional order.

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