Numerical solution of the singularly perturbed problem with nonlocal boundary condition

Amiraliyev G., Cakir M.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, cilt.23, sa.7, ss.755-764, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 7
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1007/bf02456971
  • Dergi Adı: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.755-764
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Singularly perturbed boundary value problem with nonlocal conditions is examined. The appopriate solution exhibits boundary layer behavior for small positive values of the perturbative parameter. An exponentially fitted finite difference scheme on a non-equidistant mesh is constructed for solving this problem. The uniform convergence analysis in small parameter is given. Numerical example is provided, too.