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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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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)
- Urheber
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Abdulla, Murad Ibrahim
Duressa, Gemechis File
Debela, Habtamu Garoma
- DOI
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10.1515/dema-2021-0020
- URN
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urn:nbn:de:101:1-2411181512589.748428321880
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:29 MESZ
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Beteiligte
- Abdulla, Murad Ibrahim
- Duressa, Gemechis File
- Debela, Habtamu Garoma
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