%0 Journal Article %T Bivariate Legendre approximation %A Abdelhamid Zerroug %A Ismahene Sehili %J - %D 2017 %R 10.14419/ijamr.v6i4.8198 %X 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. %U https://www.sciencepubco.com/index.php/ijamr/article/view/8198