A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation

A primal-dual approach for solving conservation laws with implicit in time approximations

“…We also call the equation ( 2) reaction-diffusion system. In recent decades, numerical methods, including finite difference methods [32,17,24,27,7,12,42,40,41,28,29,30] and finite element methods [24,49,19], have been developed for computing the reaction-diffusion type equations (systems). Several benchmark problems [26,13] have also been introduced to verify the proposed methods' effectiveness.…”