Spline collocation approach to study Brachistochrone problem.
Keywords:
Brachistochrone, Optimal control, Nonlinear problema, Spline collocation methodAbstract
In this paper authors discussed a problem of quickest descent, the Brachistochrone curve. Spline collocation method is used to solve the non-linear boundary value problem. The numerical results obtained are compared with the transformation method to show effectiveness and accuracy of this method.
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