On the numerical solution of singular boundary value problems of second order by a difference method-Reference-Cited by-同舟云学术

On the numerical solution of singular boundary value problems of second order by a difference method

Published:1986 Issue:173 Volume:46 Page:93-117
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Weinmüller Ewa

Abstract

The standard three-point discretization applied to the numerical solution of nonlinear boundary value problems for second-order systems with a singularity of the first kind is investigated. The results are extended to the boundary value problems arising in practical problems from mechanics and chemistry. A number of numerical examples illustrating the theoretical results is presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1986-46-173/S0025-5718-1986-0815834-X/S0025-5718-1986-0815834-X.pdf

Reference15 articles.

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3. On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems;Jamet, Pierre;Numer. Math.,1969

4. Die Grundlehren der mathematischen Wissenschaften, Band 132;Kato, Tosio,1966

5. On the nonunique equilibrium states and buckling mechanism of spherical shells;Keller, Herbert B.;J. Soc. Indust. Appl. Math.,1965

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