Numerical Treatments for Volterra Delay Integro-differential Equations

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Abstract: This paper presents a new technique for numerical treatments of Volterra delay integro-differential equations that have many applications in biological and physical sciences. The technique is based on the mono-implicit Runge — Kutta method for treating the differential part and the collocation method (using Boole’s quadrature rule) for treating the integral part. The efficiency and stability properties of this technique have been studied. Numerical results are presented to demonstrate the effectiveness of the methodology.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Numerical Treatments for Volterra Delay Integro-differential Equations ; volume:9 ; number:3 ; year:2009 ; pages:292-318
Computational methods in applied mathematics ; 9, Heft 3 (2009), 292-318

Creator: Rihan, F. A.
Doha, E. H.
Hassan, M. I.
Kamel, N. M.

DOI: 10.2478/cmam-2009-0018

URN: urn:nbn:de:101:1-2410261632390.799528481656

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:34 AM CEST

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Rihan, F. A.
Doha, E. H.
Hassan, M. I.
Kamel, N. M.

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Numerical Treatments for Volterra Delay Integro-differential Equations

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Stability for generalized Caputo proportional fractional delay integro-differential equations

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Hyers–Ulam stability of impulsive Volterra delay integro-differential equations

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The coupled method for singularly perturbed Volterra integro-differential equations

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Stability for generalized Caputo proportional fractional delay integro-differential equations

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