TY - JOUR
T1 - Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method
AU - Dhaigude , D. B.
AU - Birajdar , Gunvant A.
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 107
EP - 119
PY - 2014
DA - 2014/06
SN - 6
DO - http://doi.org/10.4208/aamm.12-m12105
UR - https://global-sci.org/intro/article_detail/aamm/7.html
KW - Discrete Adomian decomposition method, Caputo fractional derivative, fractional discrete Schrodinger equation, fractional discrete Burger's equation.
AB - 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 $\alpha=1$.