Consistency and stability difference scheme study for random diffusion second type problem under mean square

Abstract

The present article is devoted to the construction and investigation of the difference scheme for approximating the solutions of the stochastic boundary-value problem for the heat model in one dimension. This approach permits us to discuss the effect of the random inputs in the stochastic heat model from through the consistency and stability theorems for the random difference scheme under mean square$\left({\Vert .\Vert }_{2,\sum }\right).$