Open AccessBivariate Legendre approximation
Author(s) -
Abdelhamid Zerroug,
Ismahene Sehili
Publication year - 2017
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v6i4.8198
Subject(s) - mathematics , legendre polynomials , bivariate analysis , generalization , dimension (graph theory) , relation (database) , basis (linear algebra) , polynomial , boundary value problem , mathematical analysis , pure mathematics , statistics , geometry , database , computer science
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.