Spectral Solution of a Boundary Value Problem for Equation of Mixed type


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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

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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

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Email: kholomeeva@cs.msu.ru
俄罗斯联邦, Moscow, 119991; Moscow, 119333


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