Uniform difference method for parameterized singularly perturbed delay differential equations


Amiraliyeva I. G. , Amiraliyev G.

NUMERICAL ALGORITHMS, cilt.52, ss.509-521, 2009 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 52 Konu: 4
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s11075-009-9295-y
  • Dergi Adı: NUMERICAL ALGORITHMS
  • Sayfa Sayısı: ss.509-521

Özet

This paper deals with the singularly perturbed initial value problem for quasilinear first-order delay differential equation depending on a parameter. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform meshes on each time subinterval. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Some numerical experiments illustrate in practice the result of convergence proved theoretically.