Uniform difference method for a parameterized singular perturbation problem


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

APPLIED MATHEMATICS AND COMPUTATION, cilt.175, ss.89-100, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 175 Konu: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.07.068
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.89-100

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.