Spline collocation approach to study Brachistochrone problem.

Shah, Pinky M. ^[1] ; Prajapati, Jyotindra C. ^[2]
1. [1] Veer Narmad South Gujarat University
  
  Veer Narmad South Gujarat University
  
  India
2. [2] Sardar Patel University
  
  Sardar Patel University
  
  India
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 2, 2019, págs. 353-362
Idioma: inglés
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Resumen
- 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.