Legendre-Chebyshev pseudo-spectral method for the diffusion equation with non-classical boundary conditions
| dc.contributor.author | Chattouh Abdeldjalil | |
| dc.contributor.author | Saoudi Khaled | |
| dc.date.accessioned | 2024-02-15T11:14:22Z | |
| dc.date.available | 2024-02-15T11:14:22Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | 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. | |
| dc.identifier.uri | http://dspace.univ-khenchela.dz:4000/handle/123456789/1184 | |
| dc.title | Legendre-Chebyshev pseudo-spectral method for the diffusion equation with non-classical boundary conditions |
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