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Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

Published online by Cambridge University Press:  03 June 2015

D. B. Dhaigude  and
Gunvant A. Birajdar
D. B. Dhaigude
Affiliation:
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, (M.S.), India
Gunvant A. Birajdar*
Affiliation:
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, (M.S.), India
*
*Corresponding author. Email: gabirajdar11@gmail.com
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Abstract

In this paper we find the solution of linear as well as nonlinear fractional partial differential equations using discrete Adomian decomposition method. Here we develop the discrete Adomian decomposition method to find the solution of fractional discrete diffusion equation, nonlinear fractional discrete Schrodinger equation, fractional discrete Ablowitz-Ladik equation and nonlinear fractional discrete Burger’s equation. The obtained solution is verified by comparison with exact solution when α = 1.

Keywords

35R11Discrete Adomian decomposition methodCaputo fractional derivativefractional discrete Schrodinger equationfractional discrete Burger’s equation
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 1 , February 2014 , pp. 107 - 119
Copyright
Copyright © Global-Science Press 2014

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