High-Order Time-Accurate Schemes for Singularly Perturbed Parabolic Convection-Diffusion Problems with Robin Boundary Conditions. Modelling, Analysis and Simulation (MAS)

摘要

The boundary value problem for a singularly perturbed parabolic PDE with convection is considered on an interval in the case of the singularly perturbed Robin boundary condition; the highest space derivatives in the equation and in the boundary condition are multiplied by the perturbation parameter e. In contrast to a Dirichlet boundary value problem, for the problem under consideration the errors of well known classical methods, generally speaking, grow without bound as e