High-Order Compact ADI Methods for Parabolic Equations

Authors

Jichun Li, University of Nevada, Las VegasFollow
Yitung Chen, University of Nevada, Las VegasFollow
Guoqing Liu, Nanjing University of Technology

Document Type

Article

Publication Date

10-2006

Publication Title

Computers and Mathematics with Applications

Volume

52

Issue

8-9

First page number:

1343

Last page number:

1356

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.

Keywords

ADI method; Differential equations; Parabolic; High-order compact schemes; Mathematical models; Numerical analysis; Parabolic equations

Disciplines

Applied Mathematics | Engineering | Numerical Analysis and Computation | Ordinary Differential Equations and Applied Dynamics

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Repository Citation

Li, J., Chen, Y., Liu, G. (2006). High-Order Compact ADI Methods for Parabolic Equations. Computers and Mathematics with Applications, 52(8-9), 1343-1356.