@inproceedings{29f57003660a4b15b9dd075cbc0f4c76,
title = "Peaceman-Rachford ADI scheme for the two-dimensional flow of a second-grade fluid",
abstract = "A Crank-Nicolson numerical scheme for solving the one-dimensional mixed space-time diffusion equation modeling the flow of a second grade fluid is shown to be unconditionally stable. A Peaceman-Rachford alternating direction implicit (ADI) scheme implementing a Crank-Nicolson scheme for the two-dimensional linear mixed space-time derivative partial differential equation modelling the two-dimensional flow of a second-grade fluid is subsequently developed. Numerical results for zero-shear boundary conditions are presented. Applications to the one and two-dimensional Cattaneo equations are also discussed.",
keywords = "ADI, Cattanneo equation, Crank-Nicolson, Second-grade fluid",
author = "E. Momoniat and C. Harley",
year = "2009",
doi = "10.1063/1.3241332",
language = "English",
isbn = "9780735407091",
series = "AIP Conference Proceedings",
pages = "1343--1346",
booktitle = "Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009",
note = "International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 ; Conference date: 18-09-2009 Through 22-09-2009",
}