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

نویسندگان
Yousefi, Najibeh ID 1
Dabbaghian, Abdol Hadi ID 2
Neamaty, Abdol Ali ID 3

1 Department of Mathematics, University of Mazandaran, Babolsar, Iran

2 Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran.

3 Department of Mathematics, University of Mazandaran, Babolsar, Iran

doi
چکیده

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.

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