Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

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 accura...

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Bibliographic Details
Main Authors: Ding, Qinxu, Wong, Patricia Jia Yiing
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2019
Subjects:
DRNTU::Engineering::Electrical and electronic engineering
Cubic Non-polynomial Spline
Boundary Value Problem
Online Access:https://hdl.handle.net/10356/103565
http://hdl.handle.net/10220/47341
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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