A. Dabbaghian, S. Akbarpoor Kiasary, H. Koyunbakan, B. Agheli
{"title":"Solving inverse Sturm–Liouville problem featuring a constant delay by Chebyshev interpolation method","authors":"A. Dabbaghian, S. Akbarpoor Kiasary, H. Koyunbakan, B. Agheli","doi":"10.1007/s40096-023-00520-5","DOIUrl":null,"url":null,"abstract":"<p>The inverse nodal problem for Sturm–Liouville operator with a constant delay has been investigated in the present paper. To do so, we have computed the nodal points and nodal lengths. Therefore, we have tried Chebyshev interpolation technique (CIT) to obtain the numerical solution of inverse nodal problem. Following that, a number of numerical examples have been given. The numerical calculations in the present paper have been conducted via pc applying some programs encoded in Matlab software.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"33 2 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40096-023-00520-5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The inverse nodal problem for Sturm–Liouville operator with a constant delay has been investigated in the present paper. To do so, we have computed the nodal points and nodal lengths. Therefore, we have tried Chebyshev interpolation technique (CIT) to obtain the numerical solution of inverse nodal problem. Following that, a number of numerical examples have been given. The numerical calculations in the present paper have been conducted via pc applying some programs encoded in Matlab software.
期刊介绍：
Mathematical Sciences is an international journal publishing high quality peer-reviewed original research articles that demonstrate the interaction between various disciplines of theoretical and applied mathematics. Subject areas include numerical analysis, numerical statistics, optimization, operational research, signal analysis, wavelets, image processing, fuzzy sets, spline, stochastic analysis, integral equation, differential equation, partial differential equation and combinations of the above.
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