A High-order Accuracy Explicit Difference Scheme for Solving the Equation of Two-Dimensional Parabolic Type

Ma Mingshu

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Ma Mingshu. A High-order Accuracy Explicit Difference Scheme for Solving the Equation of Two-Dimensional Parabolic Type[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1013-1017.

Citation:

Ma Mingshu. A High-order Accuracy Explicit Difference Scheme for Solving the Equation of Two-Dimensional Parabolic Type[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1013-1017.

Citation:

Ma Mingshu. A High-order Accuracy Explicit Difference Scheme for Solving the Equation of Two-Dimensional Parabolic Type[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1013-1017.

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A High-order Accuracy Explicit Difference Scheme for Solving the Equation of Two-Dimensional Parabolic Type

Ma Mingshu

Math. Debt. He'nan Norbal University, Xinxiang, He'nan 453002, P. R. China

Received Date: 1996-06-02
Publish Date: 1996-11-15

Abstract

Abstract

In this paper, a three explicit difference shcemes with high order accuracy for solving the equations of two-dimensional parabolic type is proposed. The stability condition is r=△t/△x²=△t/△y²≤1/4 and the truncation error is O (△t²+△x⁴).
- high-order accuracy,
- explicit difference scheme,
- equation of two-dimensional parabolic type

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References(3)

References

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[2]	S, Mckee, A generalization of the Du Fort-Frakel scheme, J, Inst, Maths.Appl ics,(1) (1972), 42-48.
[3]	马驯良,二阶矩阵族Gⁿ (K,△t)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.