Email this article Spectral Solution of a Boundary Value Problem for Equation of Mixed type
- Authors: Kapustin N.1, Kholomeeva A.1,2
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Federal Research Center Computer Science and Control of the Russian Academy of Sciences
- Issue: Vol 40, No 7 (2019)
- Pages: 981-983
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205059
- DOI: https://doi.org/10.1134/S1995080219070138
- ID: 205059
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Abstract
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.
About the authors
N. Kapustin
Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: n.kapustin@bk.ru
Russian Federation, Moscow, 119991
A. Kholomeeva
Faculty of Computational Mathematics and Cybernetics; Federal Research Center Computer Science and Control of the Russian Academy of Sciences
Author for correspondence.
Email: kholomeeva@cs.msu.ru
Russian Federation, Moscow, 119991; Moscow, 119333
