An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG

DUAN Yali; ZHANG Xiaodan

doi:10.13374/j.issn1001-053x.2001.05.023

Volume 23 Issue 5

Aug. 2021

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DUAN Yali, ZHANG Xiaodan. An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG[J]. Chinese Journal of Engineering, 2001, 23(5): 470-473. doi: 10.13374/j.issn1001-053x.2001.05.023

Citation:

DUAN Yali, ZHANG Xiaodan. An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG[J]. Chinese Journal of Engineering, 2001, 23(5): 470-473. doi: 10.13374/j.issn1001-053x.2001.05.023

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An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG

doi: 10.13374/j.issn1001-053x.2001.05.023

Applied Science School, UST Beijing, Beijing 100083, China

Received Date: 2001-02-21

Abstract

Abstract

An efficient algorithm is devised and analyzed for Two-Dimension Heat-conduction equation. It is proved that the ETF-FDS-MG(Extended Trapezoidal Formula Finite Difference Scheme Multigrid) method is third-order in time, two-order in space, unconditionally stable and high order convergent. Numerical example confirms the ETF-FDS-MG method is superior to the FE-MG(Finite Element Multigrid) method.
- heat-conduction equation,
- ETF-FDS-MG,
- FE-MG