New properties of the FD-method in its applications to the Sturm-Liouville problems

TitleNew properties of the FD-method in its applications to the Sturm-Liouville problems
Publication TypeJournal Article
Year of Publication2014
AuthorsMakarov, VL, Romanyuk, NM
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.02.026
Issue2
SectionMathematics
Pagination26-31
Date Published2/2014
LanguageUkrainian
Abstract

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.

KeywordsFD-method, Sturm-Liouville problems
References: 

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