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arXiv · 1306.2914

Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems

Vladislav V. Kravchenko·Sergii M. Torba
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Abstract

A method for approximate solution of spectral problems for Sturm-Liouville equations based on the construction of the Delsarte transmutation operators is presented. In fact the problem of numerical approximation of solutions and eigenvalues is reduced to approximation of a primitive of the potential by a finite linear combination of generalized wave polynomials introduced in arXiv:1208.5984, arXiv:1208.6166. The method allows one to compute both lower and higher eigendata with an extreme accuracy.

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Vladislav V. Kravchenko, Sergii M. Torba. 2013-06-12. Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. https://doi.org/10.1016/j.cam.2014.07.022

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