| Paper title: |
Two-dimensional Spectral Approximation |
| DOI: | https://doi.org/10.4316/JACSM.201702003 |
| Published in: | Issue 2, (Vol. 11) / 2017 |
| Publishing date: | 2017-10-13 |
| Pages: | 21-25 |
| Author(s): | ISMAHENE Sehili, ZERROUG Abdelhamid |
| Abstract. | In this article, we propose a two-dimensional polynomial basis which extends Legendre series approximation to bivariate functions. We also present a theoretical study of the stability and the error estimation of the Tau spectral method in the constructed basis |
| Keywords: | Two-dimensional Basis, Rodrigues Construction, Error Estimation, Stability |
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