A note on a parameterized singular perturbation problem
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.182, sa.1, ss.233-242, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 182 Sayı: 1
- Basım Tarihi: 2005
- Doi Numarası: 10.1016/j.cam.2004.11.047
- Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.233-242
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
We consider a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter. We prove that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments support these theoretical results. (c) 2004 Elsevier B.V All rights reserved.
We consider a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter. We prove that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments support these theoretical results.