The numerical solution of linear sixth order boundary value problems with quartic B-splines
type: Item
instance of: scholarly article
title: The numerical solution of linear sixth order boundary value problems with quartic B-splines
zbMATH Open document ID: 1397.65110
DOI: 10.1155/2013/962165
author: Mingzhu Li
author: Qiang Ma
author: Lijuan Chen
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: A quartic B-spline method is proposed for solving the linear sixth order boundary value problems. The method converts the boundary problem to solve a system of linear equations and obtains coefficients of the corresponding B-spline functions. The method has the convergence of two order. It develops not only the quartic spline approximate solution but also the higher order approximate derivatives. Two numerical examples are presented to verify the theoretical analysis and show the validity and applicability of the method. Compared with other existing recent methods, the quartic B-spline method is a more efficient and effective tool.
Mathematics Subject Classification ID: 65L10
zbMATH DE Number: 6950962
Wikidata QID: Q59007189
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/962165
OpenAlex ID: W2001035761
description: scientific article; zbMATH DE number 6950962