Mathematical Modeling
Vol. 6 (2022), Issue 3, pg(s) 79-81

THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

Spectral collocation solution of linear singularly perturbed two-point boundary value problems with interior layer

  • 1 Slovak University of Technology in Bratislava, Slovakia
  • 2 Independent researcher, Slovakia

Abstract

In this study, we solve linear singularly perturbed two-point boundary value problems applying the collocation method based on mapped Chebyshev polynomials and simply computed collocation points. The proposed approach generates well-conditioned collocation matrices and produces highly accurate results if a suitable mapping function is used. Numerical results for a problem with a steep interior layer are presented.

Keywords

References

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