TY - JOUR
T1 - Rational Spectral Collocation Method for a Coupled System of Singularly Perturbed Boundary Value Problems
AU - Suqin Chen, Yingwei Wang, & Xionghua Wu
JO - Journal of Computational Mathematics
VL - 4
SP - 458
EP - 473
PY - 2011
DA - 2011/08
SN - 29
DO - http://doi.org/10.4208/jcm.1103-m3434
UR - https://global-sci.org/intro/article_detail/jcm/8487.html
KW - Singular perturbation, Coupled system, Rational spectral collocation method,
Boundary layer, Reaction-diffusion, Convection-diffusion.
AB - <p style="text-align: justify;">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.</p>