A method for determining the analytical solution for Bagley Torvik equations with fractional derivatives

M. Paşca, B. Cǎruntu, Adrian C. Albu
{"title":"A method for determining the analytical solution for Bagley Torvik equations with fractional derivatives","authors":"M. Paşca, B. Cǎruntu, Adrian C. Albu","doi":"10.1109/SACI55618.2022.9919569","DOIUrl":null,"url":null,"abstract":"This paper presents the method called Piecewise Polynomial Least Squares Method (PWPLSM) for determining the approximate analytical solution for Bagley Torvik fractional differential equation. The equation models the deformation resistance characteristics of different polymers, having applicability in various branches of engineering. The paper focuses on the operation of the PWPLSM method and its accuracy.","PeriodicalId":105691,"journal":{"name":"2022 IEEE 16th International Symposium on Applied Computational Intelligence and Informatics (SACI)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 IEEE 16th International Symposium on Applied Computational Intelligence and Informatics (SACI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SACI55618.2022.9919569","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

This paper presents the method called Piecewise Polynomial Least Squares Method (PWPLSM) for determining the approximate analytical solution for Bagley Torvik fractional differential equation. The equation models the deformation resistance characteristics of different polymers, having applicability in various branches of engineering. The paper focuses on the operation of the PWPLSM method and its accuracy.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
用分数阶导数确定Bagley - Torvik方程解析解的方法
本文提出了分段多项式最小二乘法求解Bagley - Torvik分数阶微分方程近似解析解的方法。该方程模拟了不同聚合物的变形抗力特性,在工程的各个领域都具有适用性。重点介绍了PWPLSM方法的工作原理及其精度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Similarity-based Personalized Risk Calculation Adaptive Receding Horizon Control For Nonlinear Systems Exemplified by Two Coupled van der Pol Oscillators A Numerical Model and a Code Development for Photogeneration Rate Calculation for a Dye Sensitized Solar Cell Modal and Experimental Analysis of Satellites used for Side-Airbag System Research on Data Sufficiency and Model Validity toward AI for Critical Systems
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1