Modelo semidiscreto para una ecuación de difusión no local con fuente

abstract. we study a discrete model for a non-local diffusion problem with a source, namely with initial datum we prove the existence and uniqueness of the solution. moreover, we show that solutions of discrete problem converge to the continuous ones when the mesh parameter goes to zero. we also study the blow-up phenomena of solutions. for some sources ？, we obtain the blow-up rate. finally, we perform some numerical experiments.