Shahrbanoo Akbarpoor Kiasary - Department of Mathematics, Jouybar Branch, Islamic Azad University, Jouybar, Iran

In this study, we consider Sturm-Liouville equation with the separated boundary conditions, in whichSturm-Liouville equation contains the symmetric potential function. We use Legendre interpolationmethod to calculate the approximate solution of inverse Sturm-Liouville problem. Then, we providea numerical example to present the numerical results.

Inverse Sturm-Liouville problem, symmetric potential, Legendre interpolation