Abstract

In this paper, a mid-knot cubic non-polynomial spline is applied to obtain the numerical solution of a system of second-order boundary value problems. The numerical method is proved to be uniquely solvable and it is of second-order accuracy. We further include three examples to illustrate the accuracy of our method and to compare with other methods in the literature.

Details

Title
Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems
Author
Ding, Qinxu 1 ; Wong, Patricia J Y 1   VIAFID ORCID Logo 

1  School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore 
Pages
1-16
Publication year
2018
Publication date
Oct 2018
Publisher
Hindawi Limited
ISSN
16872762
e-ISSN
16872770
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13661-018-1075-y
ProQuest document ID
2118720202
Copyright
Boundary Value Problems is a copyright of Springer, (2018). All Rights Reserved., © 2018. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.