Constructive solution of strongly coupled continuous hyperbolic mixed problems

Authors:
L. Jódar;E. Navarro;A. E. Posso;M. C. Casabán
Affiliations:
Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Valencia, Spain;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Valencia, Spain;Departamento de Matemáticas, Universidad Tecnológica de Pereira, Pereira, Colombia;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Valencia, Spain
Venue:
Applied Numerical Mathematics - Special issue on applied and computational mathematics: Selected papers of the fourth PanAmerican workshop
Year:
2003

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Abstract

This paper deals with the construction of exact series solutions of mixed problems for strongly coupled hyperbolic partial differential systems using a matrix separation of variables method. Algebraic methods are used to study the underlying Sturm-Liouville type vector problem with matrix coefficients appearing in the boundary value conditions.