STURM-LIOUVILLE OPERATÖRÜNÜN SAYISAL ÖZDEĞERLERİ

Abstract

Bu makale, Dirichlet sınır şartlarıyla ve -y''(x)+q(x)y(x) diferansiyel ifadeyle üretilen Sturm Liouville diferansiyel operatörleriyle ilgilidir. Burada q(x) sonlu sayıda tekil noktaları olan Lebesque integrallenebilir potansiyel fonksiyondur. Nümerik yöntemlerden sonlu farklar yöntemi kullanılarak, Sturm Liouville diferansiyel operatörün özdeğerleri elde edilmiştir. Bu özdeğerlerin perturbasyonları hesaplanmıştır.

Keywords

• Özdeğer, Sonlu Farklar Metodu, Sturm-Liouville

NUMERICAL EIGENVALUES OF STURM-LIOUVILLE OPERATORS

Abstract

This paper relates to Sturm Liouville differential operators generated by the differential expression -y''(x)+q(x)y(x) and by Dirichlet boundary conditions. Here q(x) is a Lebesque integrable potential function having finite number of singular points. Using the finite difference method from numerical methods, eigenvalues of the Sturm Liouville differential operator are obtained. Perturbations of these eigenvalues are calculated.

Keywords

• Eigenvalue, Finite Difference Method, Sturm-Liouville

References

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