Mixed initial-boundary value problem for telegraph equation in domain with variable borders
type: Item
instance of: scholarly article
title: Mixed initial-boundary value problem for telegraph equation in domain with variable borders
zbMATH Open document ID: 1251.74022
DOI: 10.1155/2012/831012
author: V. A. Ostapenko
published in: Advances in Mathematical Physics
publication date: 2012-09-04T00:00:00Z
review text: Summary: Mixed initial-boundary value problem for telegraph equation in domain with variable borders is considered. On one part of domain's border are the boundary conditions of the first type, on other part of the boundary are set boundary conditions of the second type. Besides, the sizes of area are variable. The solution of such problem demands development of special methods. With the help of consecutive application of procedure of construction waves reflected from borders of domain, it is possible to obtain the solution of this problem in quadratures. In addition, for construction of the waves reflected from mobile border, it is necessary to apply the procedure specially developed for these purposes.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6076601
zbMATH Keywords: mixed initial-boundary value problems
zbMATH Keywords: telegraph equation
Wikidata QID: Q58699593
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/831012
OpenAlex ID: W2016937093
cites work: Q4057674
cites work: Analytic and approximate solutions of the space- and time-fractional telegraph equations
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cites work: Analytical solution for the time-fractional telegraph equation by the method of separating variables
cites work: Exact solution of the problem for dynamic field of displacements in rods of variable length
description: scientific article; zbMATH DE number 6076601