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
DOI: 10.1016/j.amc.2014.04.044
10.1016/j.amc.2014.04.044
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

Files in This Item:
File Description SizeFormat
AraujoNevesSousa2014a.pdf3.08 MBAdobe PDFView/Open
Show full item record

SCOPUSTM   
Citations

6
checked on Nov 9, 2022

WEB OF SCIENCETM
Citations 10

7
checked on Aug 2, 2022

Page view(s)

217
checked on Nov 21, 2022

Download(s)

172
checked on Nov 21, 2022

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.