New properties of the FD-method in its applications to the Sturm-Liouville problems
DOI:
https://doi.org/10.15407/dopovidi2014.02.026Keywords:
FD-method, Sturm-Liouville problemsAbstract
We prove that the FD-method, when applied to the Sturm–Liouville problem for a second-order ordinary differential equation with Dirichlet boundary conditions, converges faster than as compared with the result of the previous articles by V. L. Makarov and his students. A substantially new algorithm for the FD-method is presented and shown to be highly effective, when implemented with the use of a computer algebra software.
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Marchenko V. A. Operators of Sturm-Liouville and their applications. Kyiv: Nauk. dumka, 1977 (in Russian).
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