TY - JOUR
T1 - Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations
AU - Karaa, Samir
N1 - Funding Information:
This research was supported by Sultan Qaboos University under Grant IG/SCI/DOMAS/07/08.
PY - 2010/10
Y1 - 2010/10
N2 - 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.
AB - 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.
KW - ADI method
KW - high-order difference scheme
KW - hyperbolic equation
KW - unconditional stability
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U2 - 10.1080/00207160902878548
DO - 10.1080/00207160902878548
M3 - Article
AN - SCOPUS:78249285943
SN - 0020-7160
VL - 87
SP - 3030
EP - 3038
JO - International Journal of Computer Mathematics
JF - International Journal of Computer Mathematics
IS - 13
ER -