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In this article, higher-order equations related to time are solved using the barycentric rational collocation method, which aims to approximate the unknown function through a rational function. The equations are solved by using the direct solution, depression of order, and spatial using the barycentric rational collocation method, and then solved by the Runge-Kutta method in three ways. The final example verifies the validity.

Details

1009240
Subject
Runge-Kutta method;
Rational functions;
Collocation methods
Title
A barycentric rational collocation method for higher-order equations related to time
Author
Qu, Xinying; Lin, Jiawei
Publication title
Journal of Physics: Conference Series; Bristol
Volume
2964
Issue
1
First page
012055
Publication year
2025
Publication date
Feb 2025
Publisher
IOP Publishing
Place of publication
Bristol
Country of publication
United Kingdom
Publication subject
Physics
ISSN
17426588
e-ISSN
17426596
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
DOI
https://doi.org/10.1088/1742-6596/2964/1/012055
ProQuest document ID
3172548554
Document URL
https://www.proquest.com/scholarly-journals/barycentric-rational-collocation-method-higher/docview/3172548554/se-2?accountid=208611
Copyright
Published under licence by IOP Publishing Ltd. This work is published under https://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.
Last updated
2025-03-01
Database
ProQuest One Academic