A class of two-level explicit difference schemes for solving three dimensional heat conduction equation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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A class of two-level explicit difference schemes for solving three dimensional heat conduction equation

Authors:	Zeng Wen-ping Professor

Institution:	(1) Department of Management Information Science, Huaqiao University, 362011 Quanzhou, P R China

Abstract:	A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)²), the stability condition is mesh ratio $r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)²+(Δx)⁴, the stability condition isr≤1/6, which contains the known results. Foundation item: the National Science Foundation of Fujian Province Biography: ZENG Wen-ping (1940≈)

Keywords:	three_dimensional heat conduction equation explicit difference scheme truncation error stability condition
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