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We consider finite-difference schemes for diffusion equation of fractional order in a multidimensional field with Robin boundary conditions. We prove the stability and convergence of difference schemes for considered problem.

A nonlocal boundary value problem for a third-order pseudoparabolic equation with variable coecients is considered. For solving this problem, a priori estimates in the dierential and dierence forms are obtained. The obtained a priori estimates imply the uniqueness and stability of the solution on a layer with respect to the initial data and the right-hand side and the convergence of the solution of the dierence problem to the solution of the dierential problem.