Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473844 | Computers & Mathematics with Applications | 2006 | 14 Pages |
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.
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