Constructive solution of strongly coupled continuous hyperbolic mixed problems.
type: Item
instance of: scholarly article
title: Constructive solution of strongly coupled continuous hyperbolic mixed problems.
zbMATH Open document ID: 1037.65101
DOI: 10.1016/S0168-9274(03)00073-4
author: A. E. Posso
author: M.-C. Casabán
author: L. Jódar
author: Enrique Navarro
published in: Applied Numerical Mathematics
publication date: 2004-01-05T00:00:00Z
review text: Using a matrix separation of variables method, the authors construct exact series solutions of mixed problems for strongly coupled hyperbolic partial differential systems of the form \[ Au_{xx}(x,t) = u_{tt}, \quad 0<x<1,\;t > 0, \] \[ u(0,t) + B_1 u_x(0,t)= 0, \quad t > 0, \] \[ A_2 u(x,t) + B_2 u_x(x,t)= 0, \quad t >0, \] \[ u(x,0)=f(x), \quad u_t(x,0) = g(x),\;0\leq x \leq 1. \] Here, \(A, B_1,A_2,B_2\) are \(m\times m\) complex matrices of \(\mathbb{C}^{m\times m}\) and the unknown \(u\), the data \(f\) and \(g\) are \(\mathbb{C}^{m}\) valued functions.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 2021266
zbMATH Keywords: hyperbolic system
zbMATH Keywords: wave equation
zbMATH Keywords: matrix separation of variables method
zbMATH Keywords: exact series solutions
reviewed by: Dinh Nho Hào
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2021266