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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 3/2018

22.11.2017

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

verfasst von: Ali Abdi, Jean–Paul Berrut, Seyyed Ahmad Hosseini

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2018

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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.
Vorheriger Artikel A Regular Integral Equation Formalism for Solving the Standard Boussinesq’s Equations for Variable Water Depth
Nächster Artikel Exact Simulation of the Jump Times of a Class of Piecewise Deterministic Markov Processes

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

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