| Title |
On the equivalence of discrete Sturm–Liouville problem with nonlocal boundary conditions to the algebraic eigenvalue problem / |
| Authors |
Novickij, Jurij ; Štikonas, Artūras |
| DOI |
10.15388/LMR.A.2015.12 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. Proceedingsof the Lithuanian Mathematical Society. Ser.A.. Vilnius : Vilniaus Universitetas. Matematikos ir Informatikos Insititutas. 2015, Vol. 56, p. 66-71.. ISSN 0132-2818 |
| Keywords [eng] |
nonlocal boundary conditions ; Sturm–Liouville problem ; finite difference scheme ; solvability |
| Abstract [eng] |
We consider the finite difference approximation of the second order Sturm–Liouville equation with nonlocal boundary conditions (NBC). We investigate the condition when the discrete Sturm–Liouville problem can be transformed to an algebraic eigenvalue problem and denote this condition as solvability condition. The examples of the solvability for the most popular NBCs are provided. |
| Published |
Vilnius : Vilniaus Universitetas. Matematikos ir Informatikos Insititutas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2015 |
| CC license |
|
