𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A computational method for self-adjoint singular perturbation problems using quintic spline

✍ Scribed by R.K. Bawa; S. Natesan

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
746 KB
Volume
50
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

Singularly perturbed self-adjoint boundary-value problems are considered in this article. A difference scheme based on quintic spline is proposed. This scheme is applied to the subproblems obtained from the given problem by dividing the whole domain into nonoverlapping subdomalns. The proposed scheme is of fourth-order convergent and more suitable for parallel computers. Stability and convergence of the method are discussed. Numerical examples are provided to show the efficiency and accuracy.

πŸ“œ SIMILAR VOLUMES

B-spline collocation method for the sing
B-spline collocation method for the singular-perturbation problem using artificial viscosity
✍ M.K. Kadalbajoo; Puneet Arora πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 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