The numerical values of the nodal points for the Sturm-Liouville equation with one turning point

Author(s):

AbdolAli Neamaty * , Najibeh Yousefi , AbdolHadi Dabbaghian

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

An inverse nodal problem has first been studied for the Sturm-Liouville equation with one turning point. The asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated and an asymptotic of the nodal points is obtained. For this problem, we give a reconstruction formula for the potential function. Furthermore, numerical examples have been established and results have been illustrated in tables and graphics.

Keywords:

Turning point , Inverse nodal problem , Nodal Points , eigenvalues , Eigenfunctions

Language:
English
Published:
Computational Methods for Differential Equations, Volume:7 Issue: 1, Winter 2019
Pages:
124 to 137
https://www.magiran.com/p2103258