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

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

Author Details

D. B. Dhaigude

Gunvant A. Birajdar

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