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Exponentially Fitted Numerical Method for Singularly Perturbed Differential-Difference Equations
Joint Authors
Debela, Habtamu Garoma
Kejela, Solomon Bati
Negassa, Ayana Deressa
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper presents a numerical method to solve singularly perturbed differential-difference equations.
The solution of this problem exhibits layer or oscillatory behavior depending on the sign of the sum of the coefficients in reaction terms.
A fourth-order exponentially fitted numerical scheme on uniform mesh is developed.
The stability and convergence of the proposed method have been established.
The effect of delay parameter (small shift) on the boundary layer(s) has also been analyzed and depicted in graphs.
The applicability of the proposed scheme is validated by implementing it on four model examples.
Maximum absolute errors in comparison with the other numerical experiments are tabulated to illustrate the proposed method.
American Psychological Association (APA)
Debela, Habtamu Garoma& Kejela, Solomon Bati& Negassa, Ayana Deressa. 2020. Exponentially Fitted Numerical Method for Singularly Perturbed Differential-Difference Equations. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1169942
Modern Language Association (MLA)
Debela, Habtamu Garoma…[et al.]. Exponentially Fitted Numerical Method for Singularly Perturbed Differential-Difference Equations. International Journal of Differential Equations No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1169942
American Medical Association (AMA)
Debela, Habtamu Garoma& Kejela, Solomon Bati& Negassa, Ayana Deressa. Exponentially Fitted Numerical Method for Singularly Perturbed Differential-Difference Equations. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1169942
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169942