Resumen de Spline collocation approach to study Brachistochrone problem.

Pinky M. Shah, Jyotindra C. Prajapati

• 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.