On the convergence of a method for solving two point boundary value problems by optimal control

Using the idea of the least squares method, a nonlinear two point boundary value problem is transformed into an optimal control problem. For solving the optimal control problem the gradient method is used. The convergence of the method is investigated and numerical results are reported.

Bibliographic Details
Main Author: Ernest Scheiber
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2002-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/727
Description
Summary:Using the idea of the least squares method, a nonlinear two point boundary value problem is transformed into an optimal control problem. For solving the optimal control problem the gradient method is used. The convergence of the method is investigated and numerical results are reported.
ISSN:2457-6794
2501-059X