Uniform difference method for a parameterized singular perturbation problem

AMIRALIYEV G. M., KUDU M., Duru H.

APPLIED MATHEMATICS AND COMPUTATION, cilt.175, sa.1, ss.89-100, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 175 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.07.068
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.89-100
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

We consider a uniform finite difference method on a B-mesh is applied to solve a singularly perturbed quasilinear boundary value problem (BVP) depending on a parameter. We give a uniform first-order error estimates in a discrete maximum norm. Numerical results are presented that demonstrate the sharpness of our theoretical analysis. (c) 2005 Elsevier Inc. All rights reserved.

We consider a uniform finite difference method on a B-mesh is applied to solve a singularly perturbed quasilinear boundary value problem (BVP) depending on a parameter. We give a uniform first-order error estimates in a discrete maximum norm. Numerical results are presented that demonstrate the sharpness of our theoretical analysis.