A numerical method for solving the Dirichlet problem for the wave equation

In this paper we present a numerical method for solving the Dirichlet problem for a two-dimensional wave equation. We analyze the ill-posedness of the problem and construct a regularization algorithm. Using the Fourier series expansion with respect to one variable, we reduce the problem to a sequenc...

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Veröffentlicht in:	Journal of applied and industrial mathematics Jg. 7; H. 2; S. 187 - 198
Hauptverfasser:	Kabanikhin, S. I., Krivorot’ko, O. I.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Dordrecht SP MAIK Nauka/Interperiodica 01.04.2013 Springer Nature B.V
Schlagworte:	Algebra Algorithms Applied mathematics Boundary conditions Boundary value problems Computational mathematics Construction Dirichlet problem Inverse problems Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Numerical analysis Regularization Studies Theorems Wave equations Dirichlet problem degree of ill-posedness singular value decomposition wave equation
ISSN:	1990-4789, 1990-4797
Online-Zugang:	Volltext
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