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 A discrete algorithm to the calculus of variations
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4453

title: A discrete algorithm to the calculus of variations
authors: Célia T. L. M. Pereira
João Pedro Cruz
Delfim Torres
keywords: Calculus of Variations
Euler-Lagrange equations
Brachistochrone problem
Lavrentiev phenomenon
Manià example
issue date: 2011
publisher: CESER Publications
abstract: A numerical study of an algorithm proposed by Gusein Guseinov, which determines approximations to the optimal solution of problems of calculus of variations using two discretizations and correspondent Euler-Lagrange equations, is investigated. The results we obtain to discretizations of the brachistochrone problem and Maniµa example with Lavrentiev's phenomenon are compared with the solutions found by other methods and solvers. We conclude that Guseinov's method presents better solutions in most of the cases studied.
URI: http://hdl.handle.net/10773/4453
ISSN: 0974-7117
publisher version/DOI: http://ceser.in/ceserp/index.php/ijms/article/view/756
source: International Journal of Mathematics and Statistics
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