Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem

Author:

Kopteva Natalia

Publisher

Springer Berlin Heidelberg

Reference11 articles.

1. Bakhvalov, N.S.: On the optimization of methods for solving boundary value problems with boundary layers. Zh. Vychisl. Mat. Mat. Fis. 9, 841–859 (1969) (in Russian)

2. Fife, P.C.: Semilinear elliptic boundary value problems with small parameters. Arch. Ration. Mech. Anal. 52, 205–232 (1973)

3. Grindrod, P.: Patterns and Waves: the Theory and Applications of Reaction-Diffusion Equations. Clarendon Press (1991)

4. Kopteva, N.: Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem. Math. Comp. 76, 631–646 (2007)

5. Kopteva, N.: Pointwise error estimates for 2nd singularly perturbed semilinear reaction-diffusion problems. In: Farago, I., Vabishchevich, P., Vulkov, L. (eds.) Finite Difference Methods: Theory and Applications. Proceedings of the 4th International Conference, Lozenetz, Bulgaria, pp. 105–114 (2006)

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