Grid Approximation of a Singularly Perturbed Parabolic Reaction-Diffusion Equation on a Ball

We consider a Dirichlet problem on a ball for a singularly perturbed parabolic reaction-diffusion equation. The Laplacian in the equation is multiplied by a perturbation parameter epsilon(2), where epsilon is an element of (0, 1]. The solution of such a problem exhibits the parabolic boundary layer in a neighbourhood of the ball boundary as epsilon -> 0. Using the integro-interpolational method and the condensing mesh method, we construct conservative finite difference schemes whose solutions converge epsilon-uniformly.