Uniform numerical method for singularly perturbed delay differential equations

AMIRALIYEV G. M., Erdogan F.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.53, sa.8, ss.1251-1259, 2007 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 8
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.camwa.2006.07.009
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1251-1259
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper deals with the singularly perturbed initial value problem for a linear first-order delay differential equation. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh on each time subinterval. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Numerical results are presented. (c) 2007 Elsevier Ltd. All rights reserved.

This paper deals with the singularly perturbed initial value problem for a linear first-order delay differential equation. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh on each time subinterval. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Numerical results are presented.