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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Autores principales: Shah,Pinky M., Prajapati,Jyotindra C.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200353
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spelling 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
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