On a difference scheme of exponential type for a nonlinear singular perturbation problem
β Scribed by Koichi Niijima
- Publisher
- Springer-Verlag
- Year
- 1985
- Tongue
- English
- Weight
- 565 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0029-599X
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## Abstract We generate an exponential splines difference scheme for a oneβdimensional singularly perturbed selfadjoint problem along with general boundary conditions of the third kind. We obtain \documentclass{article}\pagestyle{empty}\begin{document}$ {\rm O(h min(}h,\sqrt \varepsilon)) $\end{doc
In this paper we consider a singularly perturbed quasilinear boundary value problem depending on a parameter. The problem is discretized using a hybrid difference scheme on Shishkin-type meshes. We show that the scheme is second-order convergent, in the discrete maximum norm, independent of singular