Numerical Methods for Partial Inverse Spectral Problems with Frozen Arguments on Star-Shaped Graphs
學年 114
學期 1
出版（發表）日期 2025-12-31
作品名稱 Numerical Methods for Partial Inverse Spectral Problems with Frozen Arguments on Star-Shaped Graphs
作品名稱（其他語言）
著者 Chung-Tsun Shieh; Tzong-Mo Tsai; Jyh-Shyang Wu
單位
出版者
著錄名稱、卷期、頁數 Mathematics 14(1) , p. 156
摘要 In this paper, the authors investigate a partial inverse spectral problem for Sturm–Liouville operators with frozen arguments on star-shaped graphs. The problem is to reconstruct the potential on one edge from the known potentials on the other edges together with two sequences of eigenvalues from a prescribed spectral set. The proposed approach is constructive. First, the characteristic function associated with the given spectral data is constructed, allowing the unknown potential contribution to be isolated. The potential is then recovered by expanding the resulting expressions in an appropriate Riesz basis and solving a corresponding system of linear equations. Based on established uniqueness results, this procedure yields a constructive numerical algorithm. Numerical examples demonstrate reliable reconstruction for both smooth and piecewise continuous potentials, providing a practical scheme for frozen-argument problems on star graphs.
關鍵字 partial inverse problem; nonlocal Sturm–Liouville operator; frozen argument; Riesz basis; eigenvalues
語言 en
ISSN
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Tzong-Mo Tsai
審稿制度 否
國別 CHE
公開徵稿
出版型式 ,電子版
SDGS 優質教育,夥伴關係