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An Effective Numerical Algorithm Based on Stable Recovery for Partial Differential Equations With Distributed Delay

This paper is concerned with the numerical approximation of a nonlinear convection–reaction–diffusion equation with distributed delay. Using the stable recovery, we convert the original equation into nonlinear reaction–diffusion equation with distributed delay. Then, we propose a fully discrete numerical scheme to approximate the reduced equation. We investigate solvability, convergence, and stability of the method. Besides, we present a numerical example to verify the effectiveness of the method.