Page No:
4725-4728
In this paper, new approaches to find the approximate solution of the Brachistochrone problem numerically determine the time function to optimize, and then compute the segment of the cycloid as the solution to a non-convex numerical optimization problem using interval method. In interval method it gives more accurate and approximate solution of real life situation and numerical illustrations are given. The analytical solution to the Brachistochrone problem is a segment of circumference of the circular disk rolling on a flat surface. In this paper we present the computation of this segment of the cycloid as the solution to non-convex numerical optimization problem
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