𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Singular perturbations for systems of second order difference equations

✍ Scribed by L. Jodar; J.L. Morera

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
297 KB
Volume
3
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Singular perturbation for difference equ
Singular perturbation for difference equations
✍ Mami Suzuki πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 334 KB

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 t

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

Linear Perturbations of a Nonoscillatory
Linear Perturbations of a Nonoscillatory Second Order Difference Equation
✍ William F. Trench πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 86 KB

Let x 1n and x 2n be recessive and dominant solutions of the nonoscillatory difference equation r n-1 x n-1 + p n x n = 0. It is shown that if ∞ f n x 1n x 2n converges (perhaps conditionally) and satisfies a second condition on its order of covergence, then the difference equation r n-1 y n-1 + p n