Robust numerical method for singularly perturbed differential equations with large delay
Abstract: In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter and the strong right boundary layer due to the small perturbation parameter ε. The resulting singularly perturbed problem is solved using the fitted non-polynomial spline method. The stability and parameter uniform convergence of the proposed method is proved. To validate the applicability of the scheme, two model problems of the variable coefficient are considered for numerical experimentation.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Robust numerical method for singularly perturbed differential equations with large delay ; volume:54 ; number:1 ; year:2021 ; pages:576-589 ; extent:14
Demonstratio mathematica ; 54, Heft 1 (2021), 576-589 (gesamt 14)
- Creator
-
Abdulla, Murad Ibrahim
Duressa, Gemechis File
Debela, Habtamu Garoma
- DOI
-
10.1515/dema-2021-0020
- URN
-
urn:nbn:de:101:1-2411181512589.748428321880
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:29 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Abdulla, Murad Ibrahim
- Duressa, Gemechis File
- Debela, Habtamu Garoma
Other Objects (12)
Singularly perturbed differential equations
Uniform difference method for parameterized singularly perturbed delay differential equations
Singularly Perturbed Fractional Schrödinger Equations with Critical Growth
Accurate numerical scheme for singularly perturbed parabolic delay differential equation
Analysis and numerics of the singularly perturbed Oseen equations
A Unified Approach to Singularly Perturbed Quasilinear Schrödinger Equations
Numerical Solution of Systems of Singularly Perturbed Differential Equations
A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay
Singularly perturbed boundary value problems
The coupled method for singularly perturbed Volterra integro-differential equations
Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
A high order discretization technique for singularly perturbed differential equations
Singularly perturbed differential equations
Uniform difference method for parameterized singularly perturbed delay differential equations
Singularly Perturbed Fractional Schrödinger Equations with Critical Growth
Accurate numerical scheme for singularly perturbed parabolic delay differential equation
Analysis and numerics of the singularly perturbed Oseen equations
A Unified Approach to Singularly Perturbed Quasilinear Schrödinger Equations
Numerical Solution of Systems of Singularly Perturbed Differential Equations
A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay
Singularly perturbed boundary value problems
The coupled method for singularly perturbed Volterra integro-differential equations
Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
A high order discretization technique for singularly perturbed differential equations
Singularly perturbed differential equations
Uniform difference method for parameterized singularly perturbed delay differential equations
Singularly Perturbed Fractional Schrödinger Equations with Critical Growth
Accurate numerical scheme for singularly perturbed parabolic delay differential equation
Analysis and numerics of the singularly perturbed Oseen equations
A Unified Approach to Singularly Perturbed Quasilinear Schrödinger Equations
Numerical Solution of Systems of Singularly Perturbed Differential Equations
A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay
Singularly perturbed boundary value problems
The coupled method for singularly perturbed Volterra integro-differential equations
Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions