The High Accuracy Explicit Difference Scheme for Solving Parabolic Equations 3-Dimension

Sun Honglie

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(7): 737-742

Sun Honglie. The High Accuracy Explicit Difference Scheme for Solving Parabolic Equations 3-Dimension[J]. Applied Mathematics and Mechanics, 1999, 20(7): 737-742.

Citation:

Sun Honglie. The High Accuracy Explicit Difference Scheme for Solving Parabolic Equations 3-Dimension[J]. Applied Mathematics and Mechanics, 1999, 20(7): 737-742.

Citation:

Sun Honglie. The High Accuracy Explicit Difference Scheme for Solving Parabolic Equations 3-Dimension[J]. Applied Mathematics and Mechanics, 1999, 20(7): 737-742.

PDF( 238 KB)

The High Accuracy Explicit Difference Scheme for Solving Parabolic Equations 3-Dimension

Sun Honglie

Department of Mathematics, Liaoning University, Shenyang 110036, P R China

Received Date: 1997-04-28
Rev Recd Date: 1999-04-18
Publish Date: 1999-07-15

Abstract

Abstract

In this paper,an explicit three-level symmetrical differencing scheme with parameters for solving parbolic partial differential equation of three-dimension will be considered.The stability condition and local truncation error for the scheme are r<1/2 and O(Δt²+Δx⁴+Δy⁴+Δz⁴),respectively.
- parabolic partial differential equation of three-dimension,
- implicit difference scheme,
- explicit difference scheme,
- local truncation error,
- absolutely stable,
- conditin stable

FullText(HTML)

References(4)

References

[1]	Du Fort E C, Frankel S P. Stability condition in the numerical treatment of parabolic differential equ～ations[J]. Math Tables Aids Comput,1953,7(4):135～152.
[2]	孙鸿烈.一种有效的差分格式[J].辽宁大学学报,1997,24(1):22～28.
[3]	周顺兴.解二维和三维抛物型偏微分方程绝对稳定的差分格式[J].计算数学,1980,2(1):90～99.
[4]	杨情民.解抛物型方程的一族显格式[J].高等学校计算数学学报,1981,3(4):306～317.