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Kybernetika 37(5):575-583, 2001.

Solution for a Classical Problem in the Calculus of Variations via Rationalized Haar Functions.

Mohsen Razzaghi and Yadollah Ordokhani


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.


AMS: 49C;


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BIB TeX

@article{kyb:2001:5:575-583,

author = {Razzaghi, Mohsen and Ordokhani, Yadollah},

title = {Solution for a Classical Problem in the Calculus of Variations via Rationalized Haar Functions.},

journal = {Kybernetika},

volume = {37},

year = {2001},

number = {5},

pages = {575-583}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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