Robust numerical method for singularly perturbed differential equations with large delay

• Autorzy: Abdulla Murad Ibrahim , Duressa Gemechis File , Debela Habtamu Garoma

Identyfikatory

DOI

10.1515/dema-2021-0020

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

singularly perturbed problem; large delay; fitted spline; varepsilon-uniformly convergent

PL

metoda numeryczna; równania różniczkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 576--589
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Abdulla Murad Ibrahim

• Jimma University College of Natural Sciences, Jimma, Ethiopia

autor

Duressa Gemechis File

• Jimma University College of Natural Sciences, Jimma, Ethiopia

autor

Debela Habtamu Garoma

• Jimma University College of Natural Sciences, Jimma, Ethiopia

Bibliografia

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