Rational spectral collocation and differential evolution algorithms for singularly perturbed problems with an interior layer
作者：
Highlights：
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• We consider a high accuracy numerical method to solve singularly perturbed problems with an interior layer.
• The presented method is based on the rational spectral collocation method in barycentric form and the DE algorithm.
• We construct a nonlinear unconstrained optimization problem which is solved by using the DE algorithm.
• It is noted that the method presented in this paper can be extended to other type of singularly perturbed problems.
摘要
•We consider a high accuracy numerical method to solve singularly perturbed problems with an interior layer.•The presented method is based on the rational spectral collocation method in barycentric form and the DE algorithm.•We construct a nonlinear unconstrained optimization problem which is solved by using the DE algorithm.•It is noted that the method presented in this paper can be extended to other type of singularly perturbed problems.
论文关键词：Singularly perturbed problems,Rational spectral collocation method,Optimization problem,Differential evolution algorithm
论文评审过程：Received 28 August 2017, Revised 10 December 2017, Available online 19 December 2017, Version of Record 4 January 2018.
论文官网地址：https://doi.org/10.1016/j.cam.2017.12.012
