Numerical solution of two dimensional reaction-diffusion equation using operational matrix method based on genocchi polynomial – Part I: Genocchi polynomial and opperatorial matrix

Abstract

In this article, the aim is to find the solution of fractional order non-linear reaction-diffusion equation using collocation method through deriving the operational matrix of fractional derivative. For this purpose the required definitions of fractional order derivatives, Genocchi polynomial and properties of Kronecker product of matrices used for the approximation of arbitrary functions are discussed. © 2019 Editura Academiei Romane. All rights reserved.