Bivariate Legendre approximation


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





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


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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