Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method
Year: 2014
Author: D. B. Dhaigude, Gunvant A. Birajdar
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 1 : pp. 107–119
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 $\alpha=1$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-m12105
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 1 : pp. 107–119
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Discrete Adomian decomposition method Caputo fractional derivative fractional discrete Schrodinger equation fractional discrete Burger's equation.