Recovery of the rod cross-section shape

被引：0
|
作者：
Kravchenko, Vladislav V. [1 ]
Torba, Sergii M. [1 ]
Vatulyan, Alexander O. [2 ]
机构：
[1] Cinvestav, Unidad Queretaro, Dept Matemat, Libramiento Norponiente 2000, Queretaro 76230, QRO, Mexico
[2] Southern Fed Univ, Rostov Na Donu, Russia
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2025年 / 31卷 / 02期
关键词：
D O I：
10.1007/s40590-025-00727-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A direct method for solving the inverse problem of determining the shape of the cross-section of a rod is proposed. The method is based on Neumann series of Bessel functions representations for solutions of Sturm-Liouville equations. The first coefficient of the representation is sufficient for the recovery of the unknown function. A system of linear algebraic equations for finding this coefficient is obtained. The proposed method leads to an efficient numerical algorithm.
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页数：19
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