NDLI: Solutions of Sturm-Liouville Problems

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Solutions of Sturm-Liouville Problems

Content Provider	MDPI
Author	Christine, Böckmann Perera, Upeksha
Copyright Year	2020
Description	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.
Starting Page	2074
e-ISSN	22277390
DOI	10.3390/math8112074
Journal	Mathematics
Issue Number	11
Volume Number	8
Language	English
Publisher	MDPI
Publisher Date	2020-11-20
Access Restriction	Open
Subject Keyword	Mathematics Operations Research and Management Science Sturm–liouville Problems of Higher Order Singular Sturm–liouville Problems Inverse Sturm–liouville Problems
Content Type	Text
Resource Type	Article

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