Convergence of the Galerkin method for a wave equation with singular right-hand side

We consider analogs of the Galerkin method for a linear wave equation of the fifth order with generalized functions on the right-hand side. Theorems on the convergence of an approximate method, depending on the order of singularity of the right-hand side, are proved.

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Bibliographic Details
Date:2006
Main Authors: Nomirovs'kii, D. A., Номіровський, Д. А.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2006
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3495
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal