Rational Spectral Collocation Combined with the Singularity Separated Method for a System of Singularly Perturbed Boundary Value Problems
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 u=w+v, where w is the solution of the corresponding auxiliary boundary value problem and v 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.
American Psychological Association (APA)
Yang, Lufeng. 2019. Rational Spectral Collocation Combined with the Singularity Separated Method for a System of Singularly Perturbed Boundary Value Problems. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1197971
Modern Language Association (MLA)
Yang, Lufeng. Rational Spectral Collocation Combined with the Singularity Separated Method for a System of Singularly Perturbed Boundary Value Problems. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1197971
American Medical Association (AMA)
Yang, Lufeng. Rational Spectral Collocation Combined with the Singularity Separated Method for a System of Singularly Perturbed Boundary Value Problems. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1197971
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197971