Solution for a classical problem in the calculus of variations via rationalized Haar functions
نویسندگان
چکیده
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.
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عنوان ژورنال:
- Kybernetika
دوره 37 شماره
صفحات -
تاریخ انتشار 2001