A Class of Two-Level Explicit Difference Schemes for Solving Three Dimensional Heat Conduction Equation

ZENG Wen-ping

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ZENG Wen-ping. A Class of Two-Level Explicit Difference Schemes for Solving Three Dimensional Heat Conduction Equation[J]. Applied Mathematics and Mechanics, 2000, 21(9): 966-972.

Citation:

ZENG Wen-ping. A Class of Two-Level Explicit Difference Schemes for Solving Three Dimensional Heat Conduction Equation[J]. Applied Mathematics and Mechanics, 2000, 21(9): 966-972.

Citation:

ZENG Wen-ping. A Class of Two-Level Explicit Difference Schemes for Solving Three Dimensional Heat Conduction Equation[J]. Applied Mathematics and Mechanics, 2000, 21(9): 966-972.

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A Class of Two-Level Explicit Difference Schemes for Solving Three Dimensional Heat Conduction Equation

ZENG Wen-ping

Depertment of Management Information Science, Huaqiao University, Quanzhou, Fujian 362011, P R China

Received Date: 1999-03-08
Rev Recd Date: 2000-03-25
Publish Date: 2000-09-15

Abstract

Abstract

A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation.When the order of truncation error is O(Δt+(Δx)²),the stability condition is mesh ratio r=Δt/(Δx)²=Δt/(Δy)²=Δt/(Δz)²≤1/2, which is better than that of a all the other explicit difference schemes.And when the order of truncation error is O((Δt)²+(Δx)⁴),the stability condition is r≤1/6,which contains the known results.
- three-dimensional heat conduction equation,
- explicit difference scheme,
- truncation error,
- stability condition

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References(5)

References

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