ON SOME LOCAL AND NONLOCAL REACTION-DIFFUSION MODELS WITH ROBIN BOUNDARY CONDITIONS

Here we investigate some reaction-diffusion models, with local or nonlocal diffusion and nonlinear reaction term. The boundary conditions are in both cases of Robin type. We study the existence and uniqueness of the solutions of our problems in appropriate spaces. Using finite difference method, we derive explicit numerical schemes in order to approximate the solutions of the studied models. Numerical experiments that illustrate the effectiveness of the theoretical results are provided. Some conclusions are given as well as new directions in order to extend the results and methods presented in this paper.