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A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem
Joint Authors
Amiraliyev, Gabil M.
Çakır, Musa
Source
Journal of Applied Mathematics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-21
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The purpose of this paper is to present a uniform finite difference method for numerical solution of nonlinear singularly perturbed convection-diffusion problem with nonlocal and third type boundary conditions.
The numerical method is constructed on piecewise uniform Shishkin type mesh.
The method is shown to be convergent, uniformly in the diffusion parameter ε, of first order in the discrete maximum norm.
Some numerical experiments illustrate in practice the result of convergence proved theoretically.
American Psychological Association (APA)
Çakır, Musa& Amiraliyev, Gabil M.. 2010. A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem. Journal of Applied Mathematics،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-476203
Modern Language Association (MLA)
Çakır, Musa& Amiraliyev, Gabil M.. A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem. Journal of Applied Mathematics No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-476203
American Medical Association (AMA)
Çakır, Musa& Amiraliyev, Gabil M.. A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem. Journal of Applied Mathematics. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-476203
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476203