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Singular perturbation for difference equations

✍ Scribed by Mami Suzuki

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
334 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

We study here singular perturbation problem for nonlinear difference equations with a small parameter. We consider analytic solutions for the systems and apply the theorem of boundary-layer corrections for singular perturbation problem for differential equations to the difference systems. We treat the systems with feedback terms. Moreover we consider singular perturbation problems of (q)-difference equations.

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