On the convergence of the restrictive Pade approximation to the exact solutions of IBVP of parabolic and hyperbolic types

Some accurate finite difference sophisticated methods for solving initial-boundary value problem for partial differential equations gives its exact solution with certain values of the mesh sizes of space and time. The restrictive Pade approximation is one of these very promising methods. Enclosed is a model structure of its local truncation error differential forms for problems of parabolic and hyperbolic types. (C) 2004 Elsevier Inc. All rights reserved.