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Numerical solution of two dimensional reaction-diffusion equation using operational matrix method based on Genocchi polynomial. I: Genocchi polynomial and operational matrix. (English) Zbl 1463.35502

Summary: 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.

MSC:

35R11 Fractional partial differential equations
11B83 Special sequences and polynomials