Numerical Solution of a Boundary Value Problem Including Both Delay and Boundary Layer

Çimen E.

MATHEMATICAL MODELLING AND ANALYSIS, cilt.23, sa.4, ss.568-581, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3846/mma.2018.034
  • Dergi Adı: MATHEMATICAL MODELLING AND ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.568-581
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed. Also, the method is proved that it gives essentially first order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory.