A numerical treatment for singularly perturbed differential equations with integral boundary condition
APPLIED MATHEMATICS AND COMPUTATION, cilt.185, sa.1, ss.574-582, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 185 Sayı: 1
- Basım Tarihi: 2007
- Doi Numarası: 10.1016/j.amc.2006.07.060
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.574-582
- Erzincan Binali Yıldırım 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) with integral boundary condition. We prove that the method is first order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. The parameter uniform convergence is confirmed by numerical computations. (c) 2006 Elsevier Inc. All rights reserved.