The Numerical Solution of Linear Sixth Order Boundary Value Problems with Quartic B-Splines
Joint Authors
Chen, Lijuan
Li, Mingzhu
Ma, Qiang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Mingzhu& Chen, Lijuan& Ma, Qiang. 2013. The Numerical Solution of Linear Sixth Order Boundary Value Problems with Quartic B-Splines. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-511754
Modern Language Association (MLA)
Li, Mingzhu…[et al.]. The Numerical Solution of Linear Sixth Order Boundary Value Problems with Quartic B-Splines. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-511754
American Medical Association (AMA)
Li, Mingzhu& Chen, Lijuan& Ma, Qiang. The Numerical Solution of Linear Sixth Order Boundary Value Problems with Quartic B-Splines. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-511754
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511754