Solution for a classical problem in the calculus of variations via rationalized Haar functions

Mohsen Razzaghi; Yadollah Ordokhani

Kybernetika (2001)

  • Volume: 37, Issue: 5, page [575]-583
  • ISSN: 0023-5954

Abstract

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A numerical technique for solving the classical brachistochrone problem in the calculus of variations is presented. The brachistochrone problem is first formulated as a nonlinear optimal control problem. Application of this method results in the transformation of differential and integral expressions into some algebraic equations to which Newton-type methods can be applied. The method is general, and yields accurate results.

How to cite

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Razzaghi, Mohsen, and Ordokhani, Yadollah. "Solution for a classical problem in the calculus of variations via rationalized Haar functions." Kybernetika 37.5 (2001): [575]-583. <http://eudml.org/doc/33552>.

@article{Razzaghi2001,
abstract = {A numerical technique for solving the classical brachistochrone problem in the calculus of variations is presented. The brachistochrone problem is first formulated as a nonlinear optimal control problem. Application of this method results in the transformation of differential and integral expressions into some algebraic equations to which Newton-type methods can be applied. The method is general, and yields accurate results.},
author = {Razzaghi, Mohsen, Ordokhani, Yadollah},
journal = {Kybernetika},
keywords = {variational problem; brachistochrone problem; nonlinear optimal control problem; variational problem; brachistochrone problem; nonlinear optimal control problem},
language = {eng},
number = {5},
pages = {[575]-583},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Solution for a classical problem in the calculus of variations via rationalized Haar functions},
url = {http://eudml.org/doc/33552},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Razzaghi, Mohsen
AU - Ordokhani, Yadollah
TI - Solution for a classical problem in the calculus of variations via rationalized Haar functions
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 5
SP - [575]
EP - 583
AB - A numerical technique for solving the classical brachistochrone problem in the calculus of variations is presented. The brachistochrone problem is first formulated as a nonlinear optimal control problem. Application of this method results in the transformation of differential and integral expressions into some algebraic equations to which Newton-type methods can be applied. The method is general, and yields accurate results.
LA - eng
KW - variational problem; brachistochrone problem; nonlinear optimal control problem; variational problem; brachistochrone problem; nonlinear optimal control problem
UR - http://eudml.org/doc/33552
ER -

References

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