| Title:
|
Solution for a classical problem in the calculus of variations via rationalized Haar functions (English) |
| Author:
|
Razzaghi, Mohsen |
| Author:
|
Ordokhani, Yadollah |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
37 |
| Issue:
|
5 |
| Year:
|
2001 |
| Pages:
|
[575]-583 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
variational problem |
| Keyword:
|
brachistochrone problem |
| Keyword:
|
nonlinear optimal control problem |
| MSC:
|
49J15 |
| MSC:
|
49K15 |
| MSC:
|
49M30 |
| MSC:
|
65K10 |
| MSC:
|
70Q05 |
| idZBL:
|
Zbl 1265.49023 |
| idMR:
|
MR1877075 |
| . |
| Date available:
|
2009-09-24T19:41:53Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135428 |
| . |
| Reference:
|
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| Reference:
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| . |
