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The Linear Barycentric Rational Method for a Class of Delay Volterra Integro-Differential Equations

Zeitschrift:: Journal of Scientific Computing > Ausgabe 3/2018

Autoren:: Ali Abdi, Jean–Paul Berrut, Seyyed Ahmad Hosseini

Wichtige Hinweise

The results reported in this paper were obtained during the visit of the first and third authors to the University of Fribourg in 2016, which was supported by the program for research stays of that University. These authors wish to express their gratitude to J.-P. Berrut for making this visit possible.

Abstract

A method for solving delay Volterra integro-differential equations is introduced. It is based on two applications of linear barycentric rational interpolation, barycentric rational quadrature and barycentric rational finite differences. Its zero–stability and convergence are studied. Numerical tests demonstrate the excellent agreement of our implementation with the predicted convergence orders.

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Titel: The Linear Barycentric Rational Method for a Class of Delay Volterra Integro-Differential Equations
Autoren:: Ali Abdi
Jean–Paul Berrut
Seyyed Ahmad Hosseini
Publikationsdatum: 22.11.2017
DOI: https://doi.org/10.1007/s10915-017-0608-3
Verlag: Springer US
Zeitschrift: Journal of Scientific Computing
Ausgabe 3/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691

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