Exponential splines difference scheme for singular perturbation problem with mixed boundary conditions

✍ Scribed by Stojanović, M.

• Publisher: Wiley (John Wiley & Sons)
• Year: 1991
• Tongue: English
• Weight: 322 KB
• Volume: 7
• Category: Article
• ISSN: 0748-8025
• DOI: 10.1002/cnm.1630070809

✦ Synopsis

Abstract

We generate an exponential splines difference scheme for a one‐dimensional 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{document} accuracy if one has Dirichlet's boundary conditions on the right end point, and order one in the remaining cases. These results are supported by numerical experiments.