The Difference Method for the Solution of Singular-Perturbation Problems for the Elliptic-Parabolic Partial Differential Equation

In this paper is discussed the difference method for the solution of singular perturbation problems for the elliptic equations,involving small parameter in the higher derivatives,As ε=0,the original equations are degenerated into the parabalic equations.Authors constructed special difference scheme by means of the boundary layer properties of the solutions of these problems and investigated the convergence of this scheme and asymptotic behaviour of the solutions,Finally,a numerical example is given.