The applications on engineering practice by partial differential equation

Journal of Chongqing Jiaotong University(Natural Science) ›› 2000, Vol. 19 ›› Issue (4): 124-128.

The applications on engineering practice by partial differential equation

LI Zu-wei¹, HUANG Hua-hua², ZHONG Ning³

1. Chongqing Expressway CO. LTD. Chongqing 400042, China;
2. Chonqging City's Infrastructure Designing Institute, Chongqing 400015, China;
3. Chongqing Suterrision & Consultation Corp. of Traffic Engineer

Received:1999-12-21 Online:2000-08-21 Published:2016-11-09

偏微分方程在解决工程实际工作中的应用

李祖伟¹, 黄华华², 钟宁³

1. 重庆市高速公路建设有限责任公司, 重庆 400042;
2. 重庆市市政设计院, 重庆 400015;
3. 重庆市交通工程监理咨询有限责任公司, 重庆 400042

作者简介:李祖伟(1962-),男,重庆市人,高级工程师,主要从事公路设计、建设及管理工作

Abstract

Abstract: The arbitrary difference precise integration method (ADPIM) is advanced to solve PDEs,from improving the subdomain precise integration method.The new one contains all the merits that the older one contains,and can also describe the physical properties of inhomogeneous media and convenient treatment of various boundary conditions,while the explicit integration Schemes given by ADPIM are proved unconditionally stable.

Key words: ADPIM, difference method, numerical stability

摘要： 在子域精细积分法的基础上,提出解偏微分方程的变网格差分精细积分法,这种方法既具备子域精细积分法的各种优点,还能较好描述非均匀介质的物理特性及灵活处理各类边界条件,且其显式计算格式是无条件稳定的

关键词: 偏微分方程, 差分法, 数值稳定性

CLC Number:

O175.7
O342

LI Zu-wei, HUANG Hua-hua, ZHONG Ning. The applications on engineering practice by partial differential equation[J]. Journal of Chongqing Jiaotong University(Natural Science), 2000, 19(4): 124-128.

李祖伟, 黄华华, 钟宁. 偏微分方程在解决工程实际工作中的应用[J]. 重庆交通大学学报（自然科学版）, 2000, 19(4): 124-128.

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