The linear barycentric rational method for a class of delay Volterra integro-differential equations

Abdi, Ali; Berrut, Jean-Paul; Hosseini, Seyyed Ahmad

doi:10.1007/s10915-017-0608-3

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Journal article

The linear barycentric rational method for a class of delay Volterra integro-differential equations

Abdi, Ali Faculty of Mathematical SciencesUniversity of Tabriz, Iran
Berrut, Jean-Paul Department of MathematicsUniversity of Fribourg, Switzerland
Hosseini, Seyyed Ahmad Department of Mathematics, Faculty of Sciences, Golestan University, Iran

22.11.2017

Published in:

Journal of Scientific Computing. - 2018, vol. 75, no. 3, p. 1757-1775

English 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.

Faculty

Faculté des sciences et de médecine

Department

Département de Mathématiques

Language