Comparative Study of Solutions of Fractional Order Mixed KdV Burger’s Equation

Chittaranjan Pawar,Department Of Mathematics, C.h.m.e Society’s Bhonsala Military College, Nashik, 422005, Maharashtra, India ,Kalyanrao Takale,Shrikrishna Gaikwad

doi:10.17485/ijst/v17i25.1100

Chittaranjan Pawar, Department Of Mathematics, C.h.m.e Society’s Bhonsala Military College, Nashik, 422005, Maharashtra, India + Show 2 more

Open Access

https://doi.org/10.17485/ijst/v17i25.1100

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Abstract

Objective: The aim of this study is to obtain numerical solutions of fractional order mixed KdV Burger’s equation using iterative methods. Methodology: The study is centered on a time fractional mixed KdV Burger’s equation in the Caputo sense. The approximate solutions of this equation are obtained using Adomian decomposition method and Homotopy Perturbation method. Also, a Python code is developed to obtained numerical solutions and simulate graphically. Finding: The obtained solutions are compared with the exact solution and presented graphically using Python program for better analysis. Novelty: These methods shall be used to obtain approximate solution of such type of non-linear fractional order differential equations. Keywords: Fractional Differential Equation, Caputo Derivative, ADM, HPM, KdV Burger equation, Python

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