Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data

ABSTRACT

In this study, we consider Sturm–Liouville (SL) equation under the separated boundary conditions on a finite interval. We get the approximate solutions of inverse SL problem by using different input data as eigenvalues and nodes (zeros of eigenfunctions), separately, and calculate the computed errors related to the obtained approximate solutions. To calculate the approximate solutions, we use Chebyshev interpolation technique by applying first kind of Chebyshev polynomials. Eventually, the numerical results are presented by providing some examples.

KEYWORDS:

• Inverse problem
• SL operator
• eigenvalues
• nodes
• Chebyshev polynomials

2010 AMS SUBJECT CLASSIFICATIONS:

• 34A55
• 34B99

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by University of Mazandaran and Islamic Azad University, Jouybar Branch, Jouybar, Iran.