A class of incompletely exponentially fitted difference schemes for a singular perturbation problem
β Scribed by Lin Peng-cheng; Sun Guang-fu
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 407 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0253-4827
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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