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Analysis of a difference scheme for a singular perturbation Cauchy problem on refined grids

✍ Scribed by A. I. Zadorin; S. V. Tikhovskaya


Book ID
111473940
Publisher
Pleiades Publishing
Year
2011
Tongue
English
Weight
555 KB
Volume
4
Category
Article
ISSN
1995-4239

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A second-order difference scheme for a p
✍ 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