Broyden method for inverse non-symmetric Sturm-Liouville problems |
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Authors: | Christine Böckmann Athassawat Kammanee |
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Institution: | 1.Institute of Mathematics,University of Potsdam,Potsdam,Germany;2.Department of Mathematics, Faculty of Science,Prince of Songkla University,Hat Yai, Songkhla,Thailand |
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Abstract: | 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. |
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Keywords: | |
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