Recovery of the rod cross-section shape
Abstract 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.
Authors
- Sergii M. Torba (ORCID: https://orcid.org/0000-0003-1605-0988)
- A. O. Vatulyan (ORCID: https://orcid.org/0000-0003-0444-4496)
- Vladislav V. Kravchenko (ORCID: https://orcid.org/0000-0001-9180-858X)
Institutions
- Southern Federal University (RU)
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional (MX)
Publication Details
- Journal
- Boletín de la Sociedad Matemática Mexicana
- Published
- 2025-03-06
- DOI
- https://doi.org/10.1007/s40590-025-00727-7
- Citations
- 1
- Primary Topic
- Fatigue and fracture mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.86
Funders
- Consejo Nacional de Ciencia y Tecnología