Abstract
In this paper, the inverse Sturm-Liouville problem for a symmetric impedance is considered and a new iterative method is proposed. Based on the discretization of the Sturm-Liouville operator by a finite difference method, the inverse Sturm-Liouville problem for a symmetric impedance is approximated by a related matrix inverse eigenvalue problem. In solving the matrix inverse eigenvalue problem, the correction technique is discussed to obtain eigenvalues which are close to the finite difference eigenvalues. Then an approximation to the impedance function is achieved by solving the nonlinear equations with modified Newton's method. Convergence of the method is established and the effectiveness is shown by the numerical experiments.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
