Solving Symmetric Inverse Sturm-Liouville Problem Using Chebyshev Polynomials

Abstract

In this study, we consider Sturm-Liouville equation having a symmetric potential function under the separated boundary conditions on a finite interval. Then, we use Chebyshev polynomials of the first kind for calculating the approximate solution of the inverse Sturm-Liouville problem. Finally, we present the numerical results by providing some examples.