Difference methods of solving non-local boundary value problems for a loaded generalized diffusion equation with bessel operator

Abstract

Non-local boundary value problems for a loaded generalized diffusion equation are investigated. By the method of energy inequalities the a-priori estimates in difference-differential interpretation are obtained, whence it follows the solution uniqueness and stability based on the initial data and the right side, as well as the convergence of the solution of the differential problem to the solution of the corresponding differential problem with a speed of O(h2+ τ2).