A fitted approximate method for a Volterra delay-integro-differential equation with initial layer


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Amiraliyev G. , Yapman Ö. , Kudu M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, ss.1417-1429, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 48
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2018.582
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.1417-1429

Özet

This study is concerned with the finite-difference solution of singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. The method is based on the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder terms in integral form. The emphasis is on the convergence of numerical method. It is shown that the method displays uniform convergence in respect to the perturbation parameter. Numerical results are also given.