ON THE VOLTERRA DELAY-INTEGRO-DIFFERENTIAL EQUATION WITH LAYER BEHAVIOR AND ITS NUMERICAL SOLUTION


Amiraliyev G. , Yapman Ö.

MISKOLC MATHEMATICAL NOTES, cilt.20, ss.75-87, 2019 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 20
  • Basım Tarihi: 2019
  • Doi Numarası: 10.18514/mmn.2019.2424
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Sayfa Sayısı: ss.75-87

Özet

In this paper, we analyze the convergence of the fitted mesh method applied to singularly perturbed Volterra delay-integro-differential equation. Our mesh comprises a special nonuniform mesh on the first subinterval and uniform mesh on another part. Error estimates are obtained using difference analogue of Gronwall's inequality with delay. A numerical test that confirms the theoretical results is presented.