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Uniform Hybrid Difference Scheme for Singularly Perturbed Differential-Difference Turning Point Problems Exhibiting Boundary Layers
Joint Authors
Melesse, Wondwosen Gebeyaw
Tiruneh, Awoke Andargie
Derese, Getachew Adamu
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-16
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, a class of linear second-order singularly perturbed differential-difference turning point problems with mixed shifts exhibiting two exponential boundary layers is considered.
For the numerical treatment of these problems, first we employ a second-order Taylor’s series approximation on the terms containing shift parameters and obtain a modified singularly perturbed problem which approximates the original problem.
Then a hybrid finite difference scheme on an appropriate piecewise-uniform Shishkin mesh is constructed to discretize the modified problem.
Further, we proved that the method is almost second-order ɛ-uniformly convergent in the maximum norm.
Numerical experiments are considered to illustrate the theoretical results.
In addition, the effect of the shift parameters on the layer behavior of the solution is also examined.
American Psychological Association (APA)
Melesse, Wondwosen Gebeyaw& Tiruneh, Awoke Andargie& Derese, Getachew Adamu. 2020. Uniform Hybrid Difference Scheme for Singularly Perturbed Differential-Difference Turning Point Problems Exhibiting Boundary Layers. Abstract and Applied Analysis،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1119920
Modern Language Association (MLA)
Melesse, Wondwosen Gebeyaw…[et al.]. Uniform Hybrid Difference Scheme for Singularly Perturbed Differential-Difference Turning Point Problems Exhibiting Boundary Layers. Abstract and Applied Analysis No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1119920
American Medical Association (AMA)
Melesse, Wondwosen Gebeyaw& Tiruneh, Awoke Andargie& Derese, Getachew Adamu. Uniform Hybrid Difference Scheme for Singularly Perturbed Differential-Difference Turning Point Problems Exhibiting Boundary Layers. Abstract and Applied Analysis. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1119920
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119920