In this study, we consider Sturm-Liouville problem in two cases: the first case having no singularity and the second case having a singularity at zero. Then, we calculate the eigenvalues and the nodal points and present the uniqueness theorem for the solution of the inverse problem by using a dense subset of the nodal points in two given cases. Also, we use Chebyshev polynomials of the first kind for calculating the approximate solution of the inverse nodal problem in these cases. Finally, we present the numerical results by providing some examples.
Inverse nodal problem; singularity numerical method Chebyshev
Konular | Mühendislik |
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Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Ekim 2017 |
Gönderilme Tarihi | 15 Ekim 2017 |
Kabul Tarihi | 8 Haziran 2017 |
Yayımlandığı Sayı | Yıl 2017 Cilt: 5 Sayı: 2 |