A Family of High-Order Accuracy Explicit Difference Schemes With Branching Stability for Solving 3-D Parabolic Partial Differential Equation

MA Ming-shu; Wang Tong-ke

Volume 21 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(10): 1087-1092

MA Ming-shu, Wang Tong-ke. A Family of High-Order Accuracy Explicit Difference Schemes With Branching Stability for Solving 3-D Parabolic Partial Differential Equation[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1087-1092.

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A Family of High-Order Accuracy Explicit Difference Schemes With Branching Stability for Solving 3-D Parabolic Partial Differential Equation

Department of Mathematics, Henan Normal University, Xinxiang, Henan 453002, P. R. China

Received Date: 1998-08-03
Rev Recd Date: 2000-06-08
Publish Date: 2000-10-15

Abstract

Abstract

A family of high-order accuracy explict difference schemes for solving 3-dimension parabolic P. D. E. is constructed. The stability condition is r=Δt/Δx²=Δt/Δy²=Δt/Δz²<1/2, and the truncation error is O(Δt²+Δx⁴).
- high-order accuracy,
- explicit difference scheme,
- branching stability,
- 3-D parabolic P. D. E.

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References(3)

References

[1]	曾文平.三维抛物型方程的一个新的高精度显式差分格式[J].工科数学,1992,18(4):20-25.
[2]	马明书.解三维抛物型方程的一个新的高精度显格式[J].应用数学和力学,1998,19(5):465-469.
[3]	金承日.解抛物型方程的高精度显式差分格式[J].计算数学,1991,13(1):38-44.

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