Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem
ADVANCES IN DIFFERENCE EQUATIONS, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası:
- Basım Tarihi: 2010
- Doi Numarası: 10.1155/2010/102484
- Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
We consider a singularly perturbed one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. The monotone operator is combined with the piecewise uniform Shishkin-type meshes. We show that the scheme is second-order convergent, in the discrete maximum norm, independently of the perturbation parameter except for a logarithmic factor. Numerical examples support the theoretical results.