A new approach to the wave equation - an application of the decomposition method
type: Item
instance of: scholarly article
title: A new approach to the wave equation - an application of the decomposition method
zbMATH Open document ID: 0685.35059
DOI: 10.1016/0022-247X(89)90158-3
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: The decomposition method of G. Adomian is applied by the author to the inhomogeneous wave equation \(K\Delta u-\partial^ 2u/\partial t^ 2=f(x,y,z,t)\). As an example the two-dimensional homogeneous wave equation \(u_{xx}-u_{tt}=0\) with the conditions \(u(0,t)=t^ 2\), \(u(x,0)=x^ 2\), \(u_ x(0,t)=0\), \(u_ t(x,0)=0\) is considered.
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 4122473
zbMATH Keywords: decomposition method
author: Barun Kumar Datta
reviewed by: Ion Badea
MaRDI profile type: Publication
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cites work: Stochastic water reservoir modeling
cites work: Inversion of nonlinear stochastic operators
cites work: Convergent series solution of nonlinear equations
cites work: Nonlinear equations with mixed derivatives
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description: scientific article; zbMATH DE number 4122473