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A Crank-Nicolson and ADI Galerkin method with quadrature for hyperbolic problems

✍ Scribed by M. Ganesh; K. Mustapha

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
196 KB
Volume
21
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

We propose, analyze, and implement fully discrete two‐time level Crank‐Nicolson methods with quadrature for solving second‐order hyperbolic initial boundary value problems. Our algorithms include a practical version of the ADI scheme of Fernandes and Fairweather [SIAM J Numer Anal 28 (1991), 1265–1281] and also generalize the methods and analyzes of Baker [SIAM J Numer Anal 13 (1976), 564–576] and Baker and Dougalis [SIAM J Numer Anal 13 (1976), 577–598]. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005

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