Spectral Solution of a Boundary Value Problem for Equation of Mixed type
- Autores: Kapustin N.1, Kholomeeva A.1,2
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Afiliações:
- Faculty of Computational Mathematics and Cybernetics
- Federal Research Center Computer Science and Control of the Russian Academy of Sciences
- Edição: Volume 40, Nº 7 (2019)
- Páginas: 981-983
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205059
- DOI: https://doi.org/10.1134/S1995080219070138
- ID: 205059
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Resumo
In this paper we apply spectral method to the Gellerstedt problem for Lavrent’ev-Bitsadze equation in a half-strip. We consider Frankl matching condition at the type change line. Using the Darboux solution formulae for mixed type equationinthe hyperbolic subdomainwe reduce problem to an auxiliary problem for the Laplace operator.
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Sobre autores
N. Kapustin
Faculty of Computational Mathematics and Cybernetics
Autor responsável pela correspondência
Email: n.kapustin@bk.ru
Rússia, Moscow, 119991
A. Kholomeeva
Faculty of Computational Mathematics and Cybernetics; Federal Research Center Computer Science and Control of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: kholomeeva@cs.msu.ru
Rússia, Moscow, 119991; Moscow, 119333