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http://hdl.handle.net/10773/4453
Title: | A discrete algorithm to the calculus of variations |
Author: | Célia T. L. M. Pereira João Pedro Cruz Delfim Torres |
Keywords: | Calculus of Variations Discretization Euler-Lagrange equations Solvers 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4453 |
ISSN: | 0974-7117 |
Publisher Version: | http://ceser.in/ceserp/index.php/ijms/article/view/756 |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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2010_PEREIRA_CRUZ_TORRES_discrete.pdf | Documento principal | 161.95 kB | Adobe PDF |
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