Numerical solution of a singularly perturbed three-point boundary value problem
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.84, sa.10, ss.1465-1481, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 84 Sayı: 10
- Basım Tarihi: 2007
- Doi Numarası: 10.1080/00207160701296462
- Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1465-1481
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
We consider a uniform finite difference method on an S-mesh (Shishkin type mesh) for a singularly perturbed semilinear one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. We show that the method is first-order convergent in the discrete maximum norm, independently of the perturbation parameter except for a logarithmic factor. An effective iterative algorithm for solving the non-linear difference problem and some numerical results are presented.