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
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/306692
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