Solving third-order boundary value problems with quartic splines

In this article, we present a novel second order numerical method for solving third order boundary value problems using the quartic polynomial splines. We establish the convergence of the method. We present numerical experiments to demonstrate the efficiency of the method and validity of our second...

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Detalles Bibliográficos
Autor principal: Pandey, P. K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4791448/
https://www.ncbi.nlm.nih.gov/pubmed/27066353
http://dx.doi.org/10.1186/s40064-016-1969-z
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author Pandey, P. K.
author_facet Pandey, P. K.
author_sort Pandey, P. K.
collection PubMed
description In this article, we present a novel second order numerical method for solving third order boundary value problems using the quartic polynomial splines. We establish the convergence of the method. We present numerical experiments to demonstrate the efficiency of the method and validity of our second order method, which shows that present method gives better results.
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spelling pubmed-47914482016-04-09 Solving third-order boundary value problems with quartic splines Pandey, P. K. Springerplus Research In this article, we present a novel second order numerical method for solving third order boundary value problems using the quartic polynomial splines. We establish the convergence of the method. We present numerical experiments to demonstrate the efficiency of the method and validity of our second order method, which shows that present method gives better results. Springer International Publishing 2016-03-15 /pmc/articles/PMC4791448/ /pubmed/27066353 http://dx.doi.org/10.1186/s40064-016-1969-z Text en © Pandey. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Pandey, P. K.
Solving third-order boundary value problems with quartic splines
title Solving third-order boundary value problems with quartic splines
title_full Solving third-order boundary value problems with quartic splines
title_fullStr Solving third-order boundary value problems with quartic splines
title_full_unstemmed Solving third-order boundary value problems with quartic splines
title_short Solving third-order boundary value problems with quartic splines
title_sort solving third-order boundary value problems with quartic splines
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4791448/
https://www.ncbi.nlm.nih.gov/pubmed/27066353
http://dx.doi.org/10.1186/s40064-016-1969-z
work_keys_str_mv AT pandeypk solvingthirdorderboundaryvalueproblemswithquarticsplines

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