Results 11 to 20 of about 5,721 (217)

Exact and Numerical Solution of the Fractional Sturm–Liouville Problem with Neumann Boundary Conditions [PDF]

Entropy, 2022
In this paper, we study the fractional Sturm–Liouville problem with homogeneous Neumann boundary conditions. We transform the differential problem to an equivalent integral one on a suitable function space.
Malgorzata Klimek, Mariusz Ciesielski, Tomasz Blaszczyk   +2 more
doaj   +5 more sources

Solutions of Sturm-Liouville Problems [PDF]

Mathematics, 2020
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.
Upeksha Perera, Christine Böckmann
doaj   +5 more sources

Fractional Sturm–Liouville problem

Computers and Mathematics With Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Klimek
exaly   +2 more sources

Inverse Sturm-Liouville problem with analytical functions in the boundary condition

Open Mathematics, 2020
The inverse spectral problem is studied for the Sturm-Liouville operator with a complex-valued potential and arbitrary entire functions in one of the boundary conditions.
Bondarenko Natalia Pavlovna
doaj   +3 more sources

Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems

International Journal of Analysis and Applications, 2018
The purpuse of this article is to show the matrix representations of Sturm-Liouville operators with finitely many δ-interactions. We show that a Sturm-Liouville problem with finitely many δ-interactions can be represented as a finite dimensional matrix ...
Abdullah Kablan, Mehmet Akif Çetin
doaj   +4 more sources

Numerical study of the Sturm–Liouville problem [PDF]

Iranian Journal of Numerical Analysis and Optimization
The article discusses the general Sturm–Liouville problem. To solve it numerically, a new algorithm is proposed, which is based on the varia-tional principle and does not use saturation.
S.D. Algazin, A.A. Sinitsyn
doaj   +3 more sources

Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems

International Journal of Analysis and Applications, 2023
This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably ...
Sameh Gana
doaj   +1 more source

Matrix Representations for a Class of Eigenparameter Dependent Sturm–Liouville Problems with Discontinuity

Axioms, 2023
Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class ...
Shuang Li, Jinming Cai, Kun Li
doaj   +1 more source

On a fractional Sturm-Liouville problem in higher dimensions [PDF]

, 2023
In this short paper, we consider an n-dimensional fractional Sturm-Liouville eigenvalue problem, by using fractional versions of the gradient operator involving left Caputo and right Riemann-Liouville fractional derivatives.
Ferreira, M., Vieira, N., Rodrigues, M. M.   +2 more
core   +1 more source

Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory

Lietuvos Matematikos Rinkinys, 2021
Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of ...
Jonas Vitkauskas, Artūras Štikonas
doaj   +1 more source