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

• Autores: José Luis Gracia Lozano , E. O'Riordan
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 273, Nº 1, 2015, págs. 13-24
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.05.023
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• Resumen

  • 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.