Bivariate Legendre approximation

 
 
 
  • Abstract
  • Keywords
  • References
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  • 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.


  • Keywords


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

  • References


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Article ID: 8198
 
DOI: 10.14419/ijamr.v6i4.8198




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