高维热传导方程的高精度分支显格式

数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 446-452.

高维热传导方程的高精度分支显格式

1. College of Mathematics and Information Science,Henan Normal University 2. Anyang Institute of Technology

收稿日期:2006-07-10 出版日期:2008-09-30 发布日期:2023-09-25
作者简介: MA Ming-shu(1941- ), male, native of Xiuwu, Henan, a professor of Henan Normal University, engages in numerical solution of partial differential equation; MA Ju-yi(1964- ), female, native of Xiuwu, Henan,an associate professor of Anyang Institute of Techndogy, engages in numerical solution of partial differential equation.
基金资助:
Supported by NSF of the Education Department of Henan Province(20031100010)

A High-order Accuracy Explicit Difference Scheme with Branching Stability for Solving Higher-dimensional Heat-conduction Equation

1. College of Mathematics and Information Science,Henan Normal University 2. Anyang Institute of Technology

Received:2006-07-10 Online:2008-09-30 Published:2023-09-25
About author: MA Ming-shu(1941- ), male, native of Xiuwu, Henan, a professor of Henan Normal University, engages in numerical solution of partial differential equation; MA Ju-yi(1964- ), female, native of Xiuwu, Henan,an associate professor of Anyang Institute of Techndogy, engages in numerical solution of partial differential equation.
Supported by:
Supported by NSF of the Education Department of Henan Province(20031100010)

摘要/Abstract

摘要： A high-order accuracy explicit difference scheme for solving 4-dimensional heat-conduction equation is constructed. The stability condition is r = △t/△x² =△t/△y² = △t/△z△ = △t/△w² < 3/8, and the truncation error is O(△t² +△x⁴).

关键词: heat-conduction equation, explicit difference scheme, high-order accuracy;
branching stability

Abstract: A high-order accuracy explicit difference scheme for solving 4-dimensional heat-conduction equation is constructed. The stability condition is r = △t/△x² =△t/△y² = △t/△z△ = △t/△w² < 3/8, and the truncation error is O(△t² +△x⁴).

Key words: heat-conduction equation, explicit difference scheme, high-order accuracy;
branching stability

中图分类号:

O241.82

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.

MA Ming-shu, MA Ju-yi , GU Shu-min, ZHU Lin-lin. A High-order Accuracy Explicit Difference Scheme with Branching Stability for Solving Higher-dimensional Heat-conduction Equation [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 446-452.

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