SEHILI, ISMAHENE and ZERROUG, ABDELHAMID and RAHMOUNE, AZEDINE (2017) CREATION OF TWO-DIMENSIONAL LEGENDRE BASIS AND SOME PROPERTIES. Asian Journal of Mathematics and Computer Research, 18 (3). pp. 134-142.
Full text not available from this repository.Abstract
In this paper, we introduce a new bi-dimensional polynomial basis for approximating bivariate functions. We start this construction by searching the eigenvalues of the Legendre differential equation in 2D, then this basis was constructed using a Rodrigues formula. Efficient numerical results are obtained by the approximation of some bivariate functions in this basis, and compared by the least squares method with the Chebychev polynomials.
| Item Type: | Article |
|---|---|
| Subjects: | STM Library > Mathematical Science |
| Depositing User: | Managing Editor |
| Date Deposited: | 28 Dec 2023 04:41 |
| Last Modified: | 28 Dec 2023 04:41 |
| URI: | http://open.journal4submit.com/id/eprint/3506 |
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