Abstract:A discrete monotone iterative method is reported here to solve a space-fractional nonlinear diffusion-reaction equation. More precisely, we propose a Crank-Nicolson discretization of a reaction-diffusion system with fractional spatial derivative of the Riesz type. The finite-difference scheme is based on the use of fractional-order centered differences, and it is solved using a monotone iterative technique. The existence and uniqueness of solutions of the numerical model are analyzed using this approach, along… Show more
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