A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations

Ma Mingshu

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Ma Mingshu. A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(5): 465-469.

Citation:

Ma Mingshu. A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(5): 465-469.

Citation:

Ma Mingshu. A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(5): 465-469.

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A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations

Ma Mingshu

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

Received Date: 1997-06-17
Publish Date: 1998-05-15

Abstract

Abstract

In this paper,a new three-level explicit difference scheme with high accuracy is proposed for solving three-dimensional parabolic equations.It is shown that the truncation error of the scheme is O(Δt²+Δx⁴)and the condition of stability of the scheme is r≤1/4.
- high-order accuracy,
- explicit difference scheme,
- three-dimensional parabolic equation

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References(4)

References

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[4]	马驷良,二阶矩阵族Gⁿ(k,Δt)一致有界的充要条件及其对差分方程稳定性的应用,高等学校计算数学学报,2(2)(1980),41-53.