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ASME Press Select Proceedings
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
By
Yi Xie
Yi Xie
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ISBN:
9780791859933
No. of Pages:
840
Publisher:
ASME Press
Publication date:
2011

To learn how the number of nodes, relaxation factor and terminate condition effect numerical result in numerical calculus, two common used differential equations and Laplace equation were solved while finite volume method (FVM) was used as discretization method. The study shows that there is an optimum number of nodes, the numerical result will be more inaccurate while the number of nodes is smaller or bigger, and that there is an optimum terminate condition, the numerical result will be more inaccurate while the terminate condition is smaller or bigger, and that relaxation factor usually is 1, 1.1 or 1.9 for linear equation, and usually is 0.1 or 0.9 for nonlinear equation.

Abstract
Keywords
1. Introduction
2. The Equation of Onedimensional Heat Transfer
3. The Equation of Convectiondiffusion Type
4. Laplace Equation
5. Summaries
6. Acknowledgement
References
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