A partial inverse nodal problem for Sturm-Liouville operators on star-shaped graphs.
學年 114
學期 2
出版(發表)日期 2026-02-05
作品名稱 A partial inverse nodal problem for Sturm-Liouville operators on star-shaped graphs.
作品名稱(其他語言)
著者 Ni Haoze; Shieh Chung-Tsun; Tsai Tzong-Mo; Wang Yu Ping
單位
出版者
著錄名稱、卷期、頁數 Results in Mathematics 81 , p. 42
摘要 In this paper, the authors presented a numerical scheme and experiments for the inverse nodal problem for the Sturm-Liouville operator on star-shaped graphs. Additionally, we investigate the convergence analysis of the approximate solutions and provide error estimates. As an application of the numerical methods, we derive a new uniqueness theorem for the potentials of the Sturm-Liouville operator, based on parts of the nodal set and a constant. A novel aspect of this study is the application of numerical methods to this problem.
關鍵字 Boundary value problem; inverse problem; potential; spectral data.
語言 en
ISSN
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Yu Ping Wang
審稿制度
國別 DEU
公開徵稿
出版型式 ,電子版,紙本
SDGS 優質教育,夥伴關係