The Solution of 2D Parabolic Equations Based on the Alternating Direction Implicit Scheme

Fang Wang

doi:10.4028/www.scientific.net/AMR.998-999.1000

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 998-999The Solution of 2D Parabolic Equations Based on...

The Solution of 2D Parabolic Equations Based on the Alternating Direction Implicit Scheme

Abstract:

The solution of 2D parabolic equations based on the alternating direction implicit scheme is one of the important methods to solve high dimension problems.A alternating direction implicit scheme is presented in this paper, the stability and convergence of the alternating direction implicit scheme is to be proved, and the scheme of the errors are analyzed. Through the numerical experiment, the result shows that the method has good stability and high precision.

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Periodical:

Advanced Materials Research (Volumes 998-999)

Pages:

1000-1003

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.998-999.1000

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Online since:

July 2014

Authors:

Fang Wang*

Keywords:

2D Parabolic Equations, Alternating Direction Implicit Scheme, Convergence, Stability

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