Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/45001
Title: An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
Authors: Araújo, Adérito 
Neves, Cidália 
Sousa, Ercília 
Issue Date: 2014
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Serial title, monograph or event: Applied Mathematics and Computation
Volume: 239
Abstract: A numerical method is presented to solve a two-dimensional hyperbolic diffusion problem where is assumed that both convection and diffusion are responsible for flow motion. Since direct solutions based on implicit schemes for multidimensional problems are computationally inefficient, we apply an alternating direction method which is second order accurate in time and space. The stability of the alternating direction method is analyzed using the energy method. Numerical results are presented to illustrate the performance in different cases.
URI: http://hdl.handle.net/10316/45001
Other Identifiers: 10.1016/j.amc.2014.04.044
DOI: 10.1016/j.amc.2014.04.044
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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