论文信息 - Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems

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

Numerical approximations to the solution of a linear singularly perturbed parabolic problem are generated using a classical finite difference operator on a piecewise-uniform Shishkin mesh. First order convergence of these numerical approximations in an appropriately weighted C 1 -norm is established. Numerical results are given to illustrate the theoretical error bounds.

Jose L. Gracia | Eugene O'Riordan

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