Rational Spectral Collocation Method for a Coupled System of Singularly Perturbed Boundary Value Problems
Year: 2011
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 4 : pp. 458–473
Abstract
A novel collocation method for a coupled system of singularly perturbed linear equations is presented. This method is based on rational spectral collocation method in barycentric form with sinh transform. By sinh transform, the original Chebyshev points are mapped into the transformed ones clustered near the singular points of the solution. The results from asymptotic analysis about the singularity solution are employed to determine the parameters in this sinh transform. Numerical experiments are carried out to demonstrate the high accuracy and efficiency of our method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1103-m3434
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 4 : pp. 458–473
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Singular perturbation Coupled system Rational spectral collocation method Boundary layer Reaction-diffusion Convection-diffusion.
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