Two-dimensional Spectral Approximation
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.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Stefan cel Mare University of Suceava
2017-10-01
|
| Series: | Journal of Applied Computer Science & Mathematics |
| Subjects: | |
| Online Access: | https://jacsm.ro/view/?pid=24_3 |
| _version_ | 1818209367236804608 |
|---|---|
| author | Sehili ISMAHENE Abdelhamid ZERROUG |
| author_facet | Sehili ISMAHENE Abdelhamid ZERROUG |
| author_sort | Sehili ISMAHENE |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T04:59:35Z |
| format | Article |
| id | doaj.art-47b2446815ab4d57b846346d47509ec3 |
| institution | Directory Open Access Journal |
| issn | 2066-4273 2066-3129 |
| language | English |
| last_indexed | 2024-12-12T04:59:35Z |
| publishDate | 2017-10-01 |
| publisher | Stefan cel Mare University of Suceava |
| record_format | Article |
| series | Journal of Applied Computer Science & Mathematics |
| spelling | doaj.art-47b2446815ab4d57b846346d47509ec32022-12-22T00:37:15ZengStefan cel Mare University of SuceavaJournal of Applied Computer Science & Mathematics2066-42732066-31292017-10-01112212510.4316/JACSM.201702003Two-dimensional Spectral ApproximationSehili ISMAHENE0Abdelhamid ZERROUG1Department of Mathematics, University of Biskra, AlgeriaDepartment of Mathematics, University of Biskra, AlgeriaIn 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.https://jacsm.ro/view/?pid=24_3Two-dimensional BasisRodrigues ConstructionError EstimationStability |
| spellingShingle | Sehili ISMAHENE Abdelhamid ZERROUG Two-dimensional Spectral Approximation Journal of Applied Computer Science & Mathematics Two-dimensional Basis Rodrigues Construction Error Estimation Stability |
| title | Two-dimensional Spectral Approximation |
| title_full | Two-dimensional Spectral Approximation |
| title_fullStr | Two-dimensional Spectral Approximation |
| title_full_unstemmed | Two-dimensional Spectral Approximation |
| title_short | Two-dimensional Spectral Approximation |
| title_sort | two dimensional spectral approximation |
| topic | Two-dimensional Basis Rodrigues Construction Error Estimation Stability |
| url | https://jacsm.ro/view/?pid=24_3 |
| work_keys_str_mv | AT sehiliismahene twodimensionalspectralapproximation AT abdelhamidzerroug twodimensionalspectralapproximation |