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| Titre: | A nonlinear parabolic equation with a nonlocal boundary term |
| Auteur(s): | Slodi£ka, Marián
Dehilis, Sofiane |
| Mots-clés: | Nonlinear parabolic equation
Nonlocal boundary condition |
| Date de publication: | 7-nov-2018 |
| Collection/Numéro: | Journal of Computational and Applied Mathematics 233 (2010) 3130 3138; |
| Résumé: | A nonlinear parabolic problem with a nonlocal boundary condition is studied. We prove
the existence of a solution for a monotonically increasing and Lipschitz continuous
nonlinearity. The approximation method is based on Rothe'smethod. The solution on each
time step is obtained by iterations, convergence of which is shown using a fixed-point
argument. The space discretization relies on FEM. Theoretical results are supported by
numerical experiments |
| URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/2889 |
| ISSN: | 0377-0427 |
| Collection(s) : | Articles
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