High-Order Compact ADI Methods for Parabolic Equations

Authors:
Jichun Li;Yitung Chen;Guoqing Liu
Affiliations:
Department of Mathematical Sciences, University of Nevada, Las Vegas, 4505 Maryland Pkwy., Box 454020, Las Vegas, NV 89154-4020, U.S.A.;Department of Mechanical Engineering, University of Nevada, Las Vegas 4505 Maryland Pkwy, Box 454020 Las Vegas, NV 89154-4020, U.S.A.;School of Sciences, Nanjing University of Technology, Nanjing, JS 210009, China
Venue:
Computers & Mathematics with Applications
Year:
2006

Citing 12
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Abstract

In this paper we develop a sixth-order compact scheme coupled with Alternating Direction Implicit (ADI) methods and apply it to parabolic equations in both 2-D and 3-D. Unconditional stability is proved for linear diffusion problems with periodic boundary conditions. Numerical examples supporting our theoretical analysis are provided.