Spectral Solution of a Boundary Value Problem for Equation of Mixed type
- 作者: Kapustin N.1, Kholomeeva A.1,2
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隶属关系:
- Faculty of Computational Mathematics and Cybernetics
- Federal Research Center Computer Science and Control of the Russian Academy of Sciences
- 期: 卷 40, 编号 7 (2019)
- 页面: 981-983
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205059
- DOI: https://doi.org/10.1134/S1995080219070138
- ID: 205059
如何引用文章
详细
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.
作者简介
N. Kapustin
Faculty of Computational Mathematics and Cybernetics
编辑信件的主要联系方式.
Email: n.kapustin@bk.ru
俄罗斯联邦, Moscow, 119991
A. Kholomeeva
Faculty of Computational Mathematics and Cybernetics; Federal Research Center Computer Science and Control of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: kholomeeva@cs.msu.ru
俄罗斯联邦, Moscow, 119991; Moscow, 119333