Inverse Nodal Problem for the Differential Operator with a Singularity at Zero

Emrah Yilmaz; Hikmet Koyunbakan; Unal Ic

doi:10.32604/cmes.2013.092.301

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Abstract

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Inverse Nodal Problem for the Differential Operator with a Singularity at Zero

Emrah Yilmaz¹, Hikmet Koyunbakan², Unal Ic³
1 Department of Mathematics, Faculty of Science, Firat University, Elazig, 23119, Turkey. Email: emrah231983@gmail.com
2 Department of Mathematics, Faculty of Science, Firat University, Elazig, 23119, Turkey. Email:hkoyunbakan@gmail.com
3 Department of Science and Mathematics Education, Faculty of Education, Firat University, Elazig, 23119, Turkey. Email: unalıc@ﬁrat.edu.tr

Computer Modeling in Engineering & Sciences 2013, 92(3), 301-313. https://doi.org/10.32604/cmes.2013.092.301

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Abstract

In this study, some results are given about Sturm-Liouville operator having a singularity at zero. For this problem, asymptotic form of nodal data and a reconstruction formula for the potential function are given. In addition, a numerical example is established and illustrated the results in some tables and graphics.

Keywords

Inverse Nodal Problem, Reconstruction Formula, Nodal Points.

Cite This Article

Yilmaz, E., Koyunbakan, H., Ic, U. (2013). Inverse Nodal Problem for the Differential Operator with a Singularity at Zero. CMES-Computer Modeling in Engineering & Sciences, 92(3), 301–313.

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