Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators
Vladislav V. Kravchenko, Sergii M. Torba
TL;DR
This paper reviews recent advances in Sturm-Liouville theory focusing on transmutation operators and spectral parameter power series, and introduces a new numerical method for solving related spectral problems.
Contribution
It presents a novel numerical approach based on spectral parameter power series and transmutation operators for solving spectral problems in inhomogeneous media.
Findings
Enhanced numerical accuracy for spectral problems
Effective application of transmutation operators in inhomogeneous media
New computational method demonstrated
Abstract
We give a brief overview of recent developments in Sturm-Liouville theory concerning operators of transmutation (transformation) and spectral parameter power series (SPPS) and propose a new method for numerical solution of corresponding spectral problems.
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