三维抛物型方程的一族两层高精度显示格式

数学季刊 ›› 2003, Vol. 18 ›› Issue (1): 17-20.

三维抛物型方程的一族两层高精度显示格式

College of Mathematics and Information Science, Henan Normal University,Xinxiang 453002,China

收稿日期:2001-11-06 出版日期:2003-03-30 发布日期:2024-04-19
作者简介:WANG Tong-ke（1965-）,male ,native of Nanyang ,Henan ,an associate professor of Henan Normal Universi- ty ,engages in numberical solution of partial differential equation .
基金资助:
Supported by the Natural Science Foundation of Henan Education Commission（97110007）

A Class of Two-level High-order Accuracy Explicit Difference Scheme for Solving 3-D Parabolic Partial Differential Equation

College of Mathematics and Information Science, Henan Normal University,Xinxiang 453002,China

Received:2001-11-06 Online:2003-03-30 Published:2024-04-19
About author:WANG Tong-ke（1965-）,male ,native of Nanyang ,Henan ,an associate professor of Henan Normal Universi- ty ,engages in numberical solution of partial differential equation .
Supported by:
Supported by the Natural Science Foundation of Henan Education Commission（97110007）

摘要/Abstract

摘要： A class of two-level high-order accuracy explicit difference scheme for solving 3-D parabolic P．D．E is constructed． Its truncation error is ( Δt² +Δx⁴ ） and the stability condition is r = Δt/Δx² = Δt/Δy²=Δt/Δz²≤ 1／6.

关键词: 3-D parabolic P．E．E．, explicit difference scheme, truncation error

Abstract: A class of two-level high-order accuracy explicit difference scheme for solving 3-D parabolic P．D．E is constructed． Its truncation error is ( Δt² +Δx⁴ ） and the stability condition is r = Δt/Δx² = Δt/Δy²=Δt/Δz²≤ 1／6.

Key words: 3-D parabolic P．E．E．, explicit difference scheme, truncation error

中图分类号:

O241．82

王同科, 马明书, 任宗修. 三维抛物型方程的一族两层高精度显示格式[J]. 数学季刊, 2003, 18(1): 17-20.

WANG Tong-ke, MA Ming-shu, REN Zong-xiu . A Class of Two-level High-order Accuracy Explicit Difference Scheme for Solving 3-D Parabolic Partial Differential Equation[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 17-20.

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[2]	马明书, 马菊意, 谷淑敏等. 高维热传导方程的高精度分支显格式[J]. 数学季刊, 2008, 23(3): 446-452.