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http://repository.kln.ac.lk/handle/123456789/25292
Title: | Solutions of Sturm-Liouville Problems |
Authors: | Perera, U. Böckmann, C. |
Keywords: | Sturm–Liouville problems of higher order; singular Sturm–Liouville problems; inverse Sturm–Liouville problems |
Issue Date: | 2020 |
Publisher: | Mathematics |
Citation: | Perera, U., & Böckmann, C. (2020, November 20). Solutions of Sturm-Liouville Problems. Mathematics, 8(11), 2074. https://doi.org/10.3390/math8112074 |
Abstract: | This paper further improves the Lie group method with Magnus expansion proposed in a previous paper by the authors, to solve some types of direct singular Sturm–Liouville problems. Next, a concrete implementation to the inverse Sturm–Liouville problem algorithm proposed by Barcilon (1974) is provided. Furthermore, computational feasibility and applicability of this algorithm to solve inverse Sturm–Liouville problems of higher order (for n=2,4) are verified successfully. It is observed that the method is successful even in the presence of significant noise, provided that the assumptions of the algorithm are satisfied. In conclusion, this work provides a method that can be adapted successfully for solving a direct (regular/singular) or inverse Sturm–Liouville problem (SLP) of an arbitrary order with arbitrary boundary conditions. |
URI: | http://repository.kln.ac.lk/handle/123456789/25292 |
Appears in Collections: | Mathematics |
Files in This Item:
File | Description | Size | Format | |
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Ms. B.B.U.P. Perera - Solutions of Sturm-Liouville Problems-1.pdf | 162.98 kB | Adobe PDF | View/Open |
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