Analysis of some difference approximations for a singular perturbation problem without turning points-Reference-Cited by-同舟云学术

Analysis of some difference approximations for a singular perturbation problem without turning points

Published:1978 Issue:144 Volume:32 Page:1025-1039
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Kellogg R. Bruce,Tsan Alice

Abstract

Some three point difference schemes are considered for a singular perturbation problem without turning points. Bounds for the discretization error are obtained which are uniformly valid for all h and ε > 0 \varepsilon > 0 . The degeneration of the order of the schemes at ε = 0 \varepsilon = 0 is considered.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1978-32-144/S0025-5718-1978-0483484-9/S0025-5718-1978-0483484-9.pdf

Reference9 articles.

1. The numerical solution of singular perturbations of boundary value problems;Dorr, Fred;SIAM J. Numer. Anal.,1970

2. A difference scheme for a differential equation with a small parameter multiplying the highest derivative;Il′in, A. M.;Mat. Zametki,1969

3. The numerical solution of singular-perturbation boundary-value problems;Barrett, K. E.;Quart. J. Mech. Appl. Math.,1974

4. Difference approximations for singular perturbations of systems of ordinary differential equations;Abrahamsson, L. R.;Numer. Math.,1974

5. The numerical solution of boundary value problems for stiff differential equations;Flaherty, Joseph E.;Math. Comput.,1977

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