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Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution

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  • H. Brunner
  • Athena Makroglou
  • R. K. Miller
We study the application of the so-called mixed interpolation methods derived by De Meyer, Vanthournout and Vanden Berghe (1990) in the numerical solution of Volterra integro-differential equations of first and second order with periodic solutions. The existence of periodic solutions is examined and a convergence analysis of the numerical method is given. Numerical results are included for two examples.
Original languageEnglish
Pages (from-to)381-402
JournalApplied Numerical Mathematics
Issue number4
Publication statusPublished - 1 Jun 1997

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