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| Titre: | A numerical approach for a semilinear parabolic equation with a nonlocal boundary condition |
| Auteur(s): | Slodi£ka, Marián
Dehilis, Sofiane |
| Mots-clés: | Parabolic equation
Nonlocal condition
Error estimates |
| Date de publication: | 7-nov-2018 |
| Collection/Numéro: | Journal of Computational and Applied Mathematics 231 (2009) 715 724; |
| Résumé: | A semilinear reaction-diffusion problem with a nonlocal boundary condition is studied.
This paper presents a new and very easy implementable numerical algorithm for
computations. This is based on a suitable linearization in time and on the principle of linear
superposition. Any method for the space discretization (FEMwas taken in this analysis) can
be chosen. The derived algorithm is implicit and it does not need any iteration scheme to
get a solution with the nonlocal boundary condition. Stability analysis has been performed
and the optimal error estimates have been derived. Numerical results have been compared
with other known techniques |
| URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/2887 |
| ISSN: | 0377-0427 |
| Collection(s) : | Articles
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