Defect correction for two-point boundary value problems on nonequidistant meshes-Reference-Cited by-同舟云学术

Defect correction for two-point boundary value problems on nonequidistant meshes

Published:1995 Issue:210 Volume:64 Page:629-648
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Butcher J. C.,Cash J. R.,Moore G.,Russell R. D.

Abstract

New finite difference formulae of arbitrary order are derived for the special class of second-order two-point boundary value problems y = f ( x , y ( x ) ) , a ≤ x ≤ b y = f(x,y(x)), a \leq x \leq b . Variable mesh spacing is possible, and the required accuracy is achieved under a very mild mesh condition. A natural defect correction framework is set up to compute the higher-order approximations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1995-64-210/S0025-5718-1995-1284662-1/S0025-5718-1995-1284662-1.pdf

Reference27 articles.

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5. Numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections. I. A survey and comparison of some one-step formulae;Cash, J. R.;Comput. Math. Appl. Ser. A,1986

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