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arXiv · 1309.5795

Exponentially convergent numerical-analytical method for solving eigenvalue problems for singular differential operators

Volodymyr Makarov·Denys Dragunov·Danyil Bohdan
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Abstract

The article develops and proves an exponentially convergent numerical-analytical method (the FD-method) for solving Sturm-Liouville problems with a singular Legendre operator and a singular potential. Obtained within are sufficient conditions for convergence of the method and a priori estimates of its accuracy. A detailed algorithm for programmatic implementation of the FD-method is presented and compared with known algorithms (SLEIGN2).

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Volodymyr Makarov, Denys Dragunov, Danyil Bohdan. 2013-09-23. Exponentially convergent numerical-analytical method for solving eigenvalue problems for singular differential operators. https://arxiv.org/abs/1309.5795

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