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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