A numerical treatment for singularly perturbed differential equations with integral boundary condition

Amiraliyev G. M., Amiraliyeva I. G., Kudu M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.185, sa.1, ss.574-582, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 185 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.amc.2006.07.060
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.574-582
  • Van Yüzüncü Yıl Üniversitesi Adresli: Hayır

Özet

We consider a uniform finite difference method on Shishkin mesh for a quasilinear first order singularly perturbed boundary value problem (BVP) with integral boundary condition. We prove that the method is first order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. The parameter uniform convergence is confirmed by numerical computations. (c) 2006 Elsevier Inc. All rights reserved.