On the search for moment functions of a solution of the stochastic diffusion equation by the projection method

In this paper, we present some results of the application of the projection method of least squares for the search for the first- and second-order moment functions of the solution of the two-dimensional equation of exciton diffusion with a random coefficient. An estimate of the error for the quadratic functional is obtained. Results of computational experiments for the parameters characteristic of gallium nitride are presented.