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Analysis of IVPs and BVPs on Semi-Infinite Domains via Collocation Methods
Joint Authors
Hashim, Ishak
Maleki, Mohammad
Abbasbandy, Saeid
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-20
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We study the numerical solutions to semi-infinite-domain two-point boundary value problems and initial value problems.
A smooth, strictly monotonic transformation is used to map the semi-infinite domain x∈[0,∞) onto a half-open interval t∈[−1,1).
The resulting finite-domain two-point boundary value problem is transcribed to a system of algebraic equations using Chebyshev-Gauss (CG) collocation, while the resulting initial value problem over a finite domain is transcribed to a system of algebraic equations using Chebyshev-Gauss-Radau (CGR) collocation.
In numerical experiments, the tuning of the map ϕ:[−1,+1)→[0,+∞) and its effects on the quality of the discrete approximation are analyzed.
American Psychological Association (APA)
Maleki, Mohammad& Hashim, Ishak& Abbasbandy, Saeid. 2012. Analysis of IVPs and BVPs on Semi-Infinite Domains via Collocation Methods. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-993569
Modern Language Association (MLA)
Maleki, Mohammad…[et al.]. Analysis of IVPs and BVPs on Semi-Infinite Domains via Collocation Methods. Journal of Applied Mathematics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-993569
American Medical Association (AMA)
Maleki, Mohammad& Hashim, Ishak& Abbasbandy, Saeid. Analysis of IVPs and BVPs on Semi-Infinite Domains via Collocation Methods. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-993569
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993569