𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A uniformly accurate spline collocation method for a singular perturbation problem

✍ Scribed by M. Stojanović


Book ID
110562390
Publisher
Springer Milan
Year
1990
Tongue
English
Weight
239 KB
Volume
27
Category
Article
ISSN
0008-0624

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


B-spline collocation method for the sing
✍ M.K. Kadalbajoo; Puneet Arora 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 830 KB

In this paper, we develop a B-spline collocation method using artificial viscosity for solving singularly-perturbed equations given by We use the artificial viscosity to capture the exponential features of the exact solution on a uniform mesh and use B-spline collocation method which leads to a tri

Higher order uniformly convergent method
✍ Hans-Görg Roos 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 367 KB

Until now, the best way to construct high order uniformly convergent schemes for singular perturbation problems was to apply exponentially fitted compact difference schemes. We propose the following approach: firstly solve an auxiliary problem with piecewise or nearly piecewise constant coefficients

Fourth-order accurate difference method
✍ Liu Chuanhan 📂 Article 📅 1997 🏛 Springer 🌐 English ⚖ 498 KB

1~ rhis paper, the numerical .rolution of fourth-order ordinary d$ferential equations is cotkdered. To approximate the di$j>rential equation, the Hermitian schcnzr on a special nonequidistant mesh is used. The fourth -order convergence u~<form ill the perturbation parameter is proved. The numerical