Spline collocation approach to study Brachistochrone problem

DOI10.4067/S0716-09172019000200353zbMath1442.41003MaRDI QIDQ3295001

Jyotindra C. Prajapati, Pinky M. Shah

Publication date: 30 June 2020

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

zbMATH Keywords

optimal controlnonlinear problemSpline collocation methodBrachistochrone

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Spline approximation (41A15)

Cites Work

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• Brachistochrone with Coulomb friction
• On the brachystochrone with dry friction
• On the analytical solution of the brachistochrone problem in a non-conservative field
• Relativistic brachistochrones under electric or gravitational uniform fields
• Bicubic Spline Interpolation
• Johann Bernoulli's brachistochrone solution using Fermat's principle of least time
• Piecewise Cubic Interpolation and Two-Point Boundary Problems
• Spline function methods for nonlinear boundary-value problems

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