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Title: A hybrid numerical method for a two-dimensional second order hyperbolic equation
Authors: Araújo, Adérito 
Neves, Cidália 
Sousa, Ercília 
Issue Date: 2014
Publisher: CMMSE
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Serial title, monograph or event: Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering
Place of publication or event: Costa Ballena, Rota, Cádiz (Spain)
Abstract: Second order hyperbolic differential equations have been used to model many problems that appear related to heat conduction, mass diffusion and fluid dynamics. In this work a numerical method is presented to solve a two dimensional second order hyperbolic equation with convection terms. A hybrid numerical method is considered which consists of applying the Laplace transform in time and a finite volume discretization in space, where the shape functions associated with the finite volume method are chosen as the combination of hyperbolic functions. We present some numerical tests to show the efficiency of the numerical method.
ISBN: 978-84-616-9216-3
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos e Resumos em Livros de Actas

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