| Autor: |
Chattouh Abdeldjalil, Saoudi Khaled |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Moroccan Journal of Pure and Applied Analysis, Vol 6, Iss 2, Pp 303-317 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
2351-8227 |
| DOI: |
10.2478/mjpaa-2020-0023 |
| Popis: |
The present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration is reduced to a system of ODEs which can be solved by the second order Crank-Nicolson schema. Optimal error estimates for the semi-discrete scheme are derived in L2-norm. Numerical tests are included to demonstrate the effectiveness of the proposed method. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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