Rational approximation of the head equation in unbounded domain

Authors

  • Nouria Arar University of Freres Mentouri, Constantine, Algeria

Keywords:

Chebyshev polynomial, rational approximation, orthogonal system, spectral scheme, finite difference, heat equation

Abstract

In this paper, a Galerkin-type approximation using induced rational functions of Chebyshev polynomials is proposed and analyzed in order to determine the solution of the heat equation over a whole ℝ. We have shown by numerical tests that these new rational functions are very well adapted to approximations of PDEs in an unbounded domain.

Author Biography

Nouria Arar, University of Freres Mentouri, Constantine, Algeria

Department of Mathematics

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Published

2019-07-12

Issue

Vol. 12(61) No. 1 (2019)

Section

MATHEMATICS