Inverse nodal problems for Dirac operators and their numerical approximations

IF 0.8 4区 数学 Q2 MATHEMATICS Electronic Journal of Differential Equations Pub Date : 2023-12-06 DOI:10.58997/ejde.2023.81
Fei Song, Yu-Ping Wang, S. Akbarpoor
{"title":"Inverse nodal problems for Dirac operators and their numerical approximations","authors":"Fei Song, Yu-Ping Wang, S. Akbarpoor","doi":"10.58997/ejde.2023.81","DOIUrl":null,"url":null,"abstract":"In this article, we consider an inverse nodal problem of Dirac operators and obtain approximate solution and its convergence based on the second kind Chebyshev wavelet and Bernstein methods. We establish a uniqueness theorem of this problem from parts of nodal points instead of a dense nodal set. Numerical examples are carried out to illustrate our method. \nFor more information see https://ejde.math.txstate.edu/Volumes/2023/81/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"7 9","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.58997/ejde.2023.81","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

Abstract

In this article, we consider an inverse nodal problem of Dirac operators and obtain approximate solution and its convergence based on the second kind Chebyshev wavelet and Bernstein methods. We establish a uniqueness theorem of this problem from parts of nodal points instead of a dense nodal set. Numerical examples are carried out to illustrate our method. For more information see https://ejde.math.txstate.edu/Volumes/2023/81/abstr.html
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
狄拉克算子的反节点问题及其数值逼近
本文基于第二类Chebyshev小波和Bernstein方法,研究了一类Dirac算子的逆节点问题,得到了其近似解及其收敛性。我们用部分节点代替密集节点集建立了该问题的唯一性定理。数值算例说明了本文的方法。欲了解更多信息,请参阅https://ejde.math.txstate.edu/Volumes/2023/81/abstr.html
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
Electronic Journal of Differential Equations
Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
1.50
自引率
14.30%
发文量
1
审稿时长
3 months
期刊介绍: All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.
期刊最新文献
Global existence and asymptotic profile for a damped wave equation with variable-coefficient diffusion Strange non-local operators homogenizing the Poisson equation with dynamical unilateral boundary conditions: asymmetric particles of critical size Stability and rate of decay for solutions to stochastic differential equations with Markov switching KAM theorem for degenerate infinite-dimensional reversible systems Asymptotic stabilization for Bresse transmission systems with fractional damping
×
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