A variable order finite difference method for nonlinear multipoint boundary value problems-Reference-Cited by-同舟云学术

A variable order finite difference method for nonlinear multipoint boundary value problems

Published:1974 Issue:128 Volume:28 Page:981-1003
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Lentini M.,Pereyra V.

Abstract

An adaptive finite difference method for first order nonlinear systems of ordinary differential equations subject to multipoint nonlinear boundary conditions is presented. The method is based on a discretization studied earlier by H. B. Keller. Variable order is provided through deferred corrections, while a built-in natural asymptotic estimator is used to automatically refine the mesh in order to achieve a required tolerance. Extensive numerical experimentation and a FORTRAN program are included.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1974-28-128/S0025-5718-1974-0386281-4/S0025-5718-1974-0386281-4.pdf

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