Spline collocation approach to study Brachistochrone problem

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 method.

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Main Authors: Shah,Pinky M., Prajapati,Jyotindra C.
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2019
Online Access: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
collection OJS
country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Shah,Pinky M.
Prajapati,Jyotindra C.
spellingShingle Shah,Pinky M.
Prajapati,Jyotindra C.
Spline collocation approach to study Brachistochrone problem
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
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.
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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