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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