Volume 6, Issue 1
Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

D. B. Dhaigude and Gunvant A. Birajdar

10.4208/aamm.12-m12105

Adv. Appl. Math. Mech., 6 (2014), pp. 107-119.

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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 \alpha=1.

  • History

Published online: 2014-06

  • AMS Subject Headings

35R11

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