Fractional Crank-Nicolson Galerkin finite element analysis for coupled time-fractional nonlocal parabolic problem

06/05/2023

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by   Pari J. Kundaliya, et al.

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In this article we propose a scheme for solving the coupled time-fractional nonlocal diffusion problem. The scheme consist of fractional Crank-Nicolson method with Galerkin finite element method (FEM) and Newton's method. We derive a priori error estimates for fully-discrete solutions in L^2 and H^1_0 norms. Results based on the usual finite element method are provided to confirm the theoretical estimates.