On the Numerical Solution of a Semilinear Sobolev Equation Subject to Nonlocal Dirichlet Boundary Condition
| Autor: | CHATTOUH, Abdeldjalil, SAOUDİ, Khaled |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Volume: 3, Issue: 1 11-18 Conference Proceedings of Science and Technology |
| ISSN: | 2651-544X |
| Popis: | A semilinear pseudo-parabolic equation ∂t(u − ∆u) − ∆u = f(∇u) with a Dirichlet-type integral boundary condition is investigated in this contribution. Using the Rothe method which is based on a semi-discretization of the problem under consideration with respect to the time variable, we prove the existence and uniqueness of a solution in a weak sense. For the spatial discretization, a suitable approach based on Legendre spectral-method is presented. Two numerical examples are included to examine the effectiveness and accuracy of the proposed approach. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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