This article is cited in 2 papers

The method of conjugate operators for solving boundary value problems for ordinary second order differential equations

A. F. Voevodin

Lavrent'ev Institute of Hydrodynamics, Novosibirsk

Abstract: In this paper, for a linear boundary value problem, we propose a method that reduces a solution to a differential problem to a discrete (difference) problem. Difference equations, which are an exact analog of differential equation, are constructed by the conjugate operator method. Conjugate equations are solved by the factorization method.

Key words: boundary value problem, conjugate operator, difference equations, condition numbers.

UDC: 519.632.4

Received: 12.08.2011
Revised: 08.11.2011

 English version: Numerical Analysis and Applications, 2012, 5:3, 204–212

Bibliographic databases:

• 
•