Bivariate Legendre approximation

Authors

  • Abdelhamid Zerroug Department of Mathematics, University of Biskra, Algeria
  • Ismahene Sehili Department of Mathematics, University of Biskra, Algeria

DOI:

https://doi.org/10.14419/ijamr.v6i4.8198

Published:

2017-10-27

Keywords:

Two-dimensional Legendre basis, Three terms recurrence construction, Error Estimation.

Abstract

Spectral methods are among the numerical methods commonly used for approximating solutions of boundary value problems. In this paper we propose, a generalization of the spectral Tau method in dimension 2, this method is generalized by the use of a new two-dimensional polynomial basis constructed by  a  three terms recurrence relation. We also present an estimation of error committed by the proposed method.

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