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Broyden method for inverse non-symmetric Sturm-Liouville problems
- In this paper, we propose a derivative-free method for recovering symmetric and non-symmetric potential functions of inverse Sturm-Liouville problems from the knowledge of eigenvalues. A class of boundary value methods obtained as an extension of Numerov's method is the major tool for approximating the eigenvalues in each Broyden iteration step. Numerical examples demonstrate that the method is able to reduce the number of iteration steps, in particular for non-symmetric potentials, without accuracy loss.
Author details: | Christine BöckmannORCiDGND, Athassawat Kammanee |
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DOI: | https://doi.org/10.1007/s10543-011-0317-5 |
ISSN: | 0006-3835 |
Title of parent work (English): | BIT : numerical mathematics ; the leading applied mathematics journal for all computational mathematicians |
Publisher: | Springer |
Place of publishing: | Dordrecht |
Publication type: | Article |
Language: | English |
Year of first publication: | 2011 |
Publication year: | 2011 |
Release date: | 2017/03/26 |
Tag: | Boundary value method; Broyden's method; Inverse Sturm-Liouville problem; Non-symmetric potential |
Volume: | 51 |
Issue: | 3 |
Number of pages: | 16 |
First page: | 513 |
Last Page: | 528 |
Funding institution: | Prince of Songkla University |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |