Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 87, Issue 13, Pages 3030-3038Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160902878548
Keywords
hyperbolic equation; high-order difference scheme; ADI method; unconditional stability
Categories
Funding
- Sultan Qaboos University [IG/SCI/DOMAS/07/08]
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An unconditionally stable alternating direction implicit (ADI) method of higher-order in space is proposed for solving two- and three-dimensional linear hyperbolic equations. The method is fourth-order in space and second-order in time. The solution procedure consists of a multiple use of one-dimensional matrix solver which produces a computational cost effective solver. Numerical experiments are conducted to compare the new scheme with the existing scheme based on second-order spatial discretization. The effectiveness of the new scheme is exhibited from the numerical results.
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