Resumen de Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems

José Luis Gracia Lozano, E. O'Riordan

• Numerical approximations to the solution of a linear singularly perturbed parabolic problem are generated using a classical finite difference operator on a piecewiseuniform Shishkin mesh. First order convergence of these numerical approximations in an appropriately weighted C1-norm is established. Numerical results are given to illustrate the theoretical error bounds.