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Fourth-order accurate difference method for the singular perturbation problem

✍ Scribed by Liu Chuanhan

Publisher
Springer
Year
1997
Tongue
English
Weight
498 KB
Volume
18
Category
Article
ISSN
0253-4827

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✦ Synopsis

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 result shows the poilitwise convergence, too.

πŸ“œ SIMILAR VOLUMES

A second-order difference scheme for a p
A second-order difference scheme for a parameterized singular perturbation problem
✍ Zhongdi Cen πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 250 KB

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