Reliable Efficient Difference Methods for Random Heterogeneous Diffusion Reaction Models with a Finite Degree of Randomness

This paper deals with the search for reliable efficient finite difference methods numerical solution of random heterogeneous diffusion reaction models a degree randomness. Efficiency appeals to computational challenge in framework that requires not only approximating stochastic process but also its expectation and variance. After studying positivity conditional mean square stability, computation variance is performed directly through using set sampling schemes coming out by taking realizations scheme Monte Carlo technique. Thus, storage accumulation symbolic expressions collapsing approach avoided keeping reliability. Results are simulated procedure given.