Spline collocation approach to study Brachistochrone problem
Abstract: 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...
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190002003532019-05-30Spline collocation approach to study Brachistochrone problemShah,Pinky M.Prajapati,Jyotindra C. Brachistochrone optimal control nonlinear problema Spline collocation method. Abstract: 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.2 20192019-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200353en10.4067/S0716-09172019000200353 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Brachistochrone optimal control nonlinear problema Spline collocation method. |
spellingShingle |
Brachistochrone optimal control nonlinear problema Spline collocation method. Shah,Pinky M. Prajapati,Jyotindra C. Spline collocation approach to study Brachistochrone problem |
description |
Abstract: 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. |
author |
Shah,Pinky M. Prajapati,Jyotindra C. |
author_facet |
Shah,Pinky M. Prajapati,Jyotindra C. |
author_sort |
Shah,Pinky M. |
title |
Spline collocation approach to study Brachistochrone problem |
title_short |
Spline collocation approach to study Brachistochrone problem |
title_full |
Spline collocation approach to study Brachistochrone problem |
title_fullStr |
Spline collocation approach to study Brachistochrone problem |
title_full_unstemmed |
Spline collocation approach to study Brachistochrone problem |
title_sort |
spline collocation approach to study brachistochrone problem |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2019 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200353 |
work_keys_str_mv |
AT shahpinkym splinecollocationapproachtostudybrachistochroneproblem AT prajapatijyotindrac splinecollocationapproachtostudybrachistochroneproblem |
_version_ |
1718439849467314176 |