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Solving Systems of Singularly Perturbed Convection Diffusion Problems via Initial Value Method
Joint Authors
Melesse, Wondwosen Gebeyaw
Tiruneh, Awoke Andargie
Derese, Getachew Adamu
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, an initial value method for solving a weakly coupled system of two second-order singularly perturbed Convection–diffusion problems exhibiting a boundary layer at one end is proposed.
In this approach, the approximate solution for the given problem is obtained by solving, a coupled system of initial value problem (namely, the reduced system), and two decoupled initial value problems (namely, the layer correction problems), which are easily deduced from the given system of equations.
Both the reduced system and the layer correction problems are independent of perturbation parameter, ε.
These problems are then solved analytically and/or numerically, and those solutions are combined to give an approximate solution to the problem.
Further, error estimates are derived and examples are provided to illustrate the method.
American Psychological Association (APA)
Melesse, Wondwosen Gebeyaw& Tiruneh, Awoke Andargie& Derese, Getachew Adamu. 2020. Solving Systems of Singularly Perturbed Convection Diffusion Problems via Initial Value Method. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1174450
Modern Language Association (MLA)
Melesse, Wondwosen Gebeyaw…[et al.]. Solving Systems of Singularly Perturbed Convection Diffusion Problems via Initial Value Method. Journal of Applied Mathematics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1174450
American Medical Association (AMA)
Melesse, Wondwosen Gebeyaw& Tiruneh, Awoke Andargie& Derese, Getachew Adamu. Solving Systems of Singularly Perturbed Convection Diffusion Problems via Initial Value Method. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1174450
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174450