The Comparison for Several Difference Methods in Heat Conduction Equations

Fan Lei Meng

doi:10.4028/www.scientific.net/AMR.282-283.399

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 282-283The Comparison for Several Difference Methods in...

The Comparison for Several Difference Methods in Heat Conduction Equations

Abstract:

In this paper, one-dimensional heat conduction equations is studied, many difference Schemes have been proposed to solve it. In order to find a high accuracy difference scheme in all the methods, we give a numerical experimentation in this paper. by numerical experimentation, a high accuracy difference scheme for solving Heat conduction equations initial boundary value problem is found, according to the truncation error and stability analysis ,we find its accuracy is better-then- third-order in time and space direction. this is a valuable method and better then the others this is a high accuracy difference Scheme. this scheme is a valuable method in Heat conduction and Fluid mechanics.

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Periodical:

Advanced Materials Research (Volumes 282-283)

Pages:

399-402

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.282-283.399

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Online since:

July 2011

Authors:

Fan Lei Meng

Keywords:

Heat Conduction Equations, High-Accuracy, Truncation Error

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