Spline collocation approach to study Brachistochrone problem.


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.

Biografía del autor

Pinky M. Shah, Veer Narmad South Gujarat University.
Department of Mathematics.
Jyotindra C. Prajapati, Sardar Patel University.
Department of Mathematics.


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Cómo citar
P. Shah y J. Prajapati, «Spline collocation approach to study Brachistochrone problem»., PJM, vol. 38, n.º 2, pp. 353-362, jun. 2019.