Document Type : Research Paper
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
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.