Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition
Joint Authors
Debela, Habtamu Garoma
Duressa, Gemechis File
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we consider a class of singularly perturbed differential equations of convection diffusion type with integral boundary condition.
An accelerated uniformly convergent numerical method is constructed via exponentially fitted operator method using Richardson extrapolation techniques and numerical integration methods to solve the problem.
The integral boundary condition is treated using numerical integration techniques.
Maximum absolute errors and rates of convergence for different values of perturbation parameter and mesh sizes are tabulated for the numerical example considered.
The method is shown to be ε-uniformly convergent.
American Psychological Association (APA)
Debela, Habtamu Garoma& Duressa, Gemechis File. 2020. Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1169978
Modern Language Association (MLA)
Debela, Habtamu Garoma& Duressa, Gemechis File. Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition. International Journal of Differential Equations No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1169978
American Medical Association (AMA)
Debela, Habtamu Garoma& Duressa, Gemechis File. Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1169978
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169978