Rational Spectral Collocation Combined with the Singularity Separated Method for a System of Singularly Perturbed Boundary Value Problems

Lufeng Yang

Mathematical Problems in Engineering, 2019, vol. 2019, 1-12

Abstract:

A novel rational spectral collocation method is presented combined with the singularity-separated technique for a system of singularly perturbed boundary value problems. The solution is expressed as , where is the solution of the corresponding auxiliary boundary value problem and is a singular correction with explicit expressions. The rational spectral collocation method in barycentric form with the sinh transformation is applied to solve the auxiliary third boundary problem. The parameters of the singular correction can be determined by the boundary conditions of the original problem. Numerical experiments are carried out to support theoretical results and provide a favorable comparison with research results of other work.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9030565

DOI: 10.1155/2019/9030565

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