渗流问题灰色数值模型的解法研究  

A Study on Solution of the Grey Numerical Model of Seepage System

作　　者：李树文[1] 王义闹[2] 赵秀娟[1] 杨卫华[1] 周继红[1] 

机构地区：[1]河北建筑科技学院,河北邯郸056038 [2]温州大学,温州325035

出　　处：《数学的实践与认识》2004年第3期57-61,共5页Mathematics in Practice and Theory

摘　　要：灰色数值模型的求解是研究灰色数值模型的一个重要问题 .本文根据灰集合、灰数及其灰色运算规则 ,在渗流系统的基本灰色数值模型的基础上 ,分析了求解这类模型的一整套灰色数值算法 ,并对灰色数值算法、普通算法和经典数值方法的计算结果进行了全面比较 ,论证了灰色数值算法对灰信息传递的正确性和对渗流系统描述的合理性 .How to solve the grey numerical model is a important problem for the research on the grey numerical model. Based on grey set, grey numbers and their operation properties, the grey numerical model of seepage system is set up, the whole grey solving method of the model is given in this paper, and the solving method is compared with common solving method, classical numerical method so as to illustrate that the grey solving method is correct in transporting grey data and reasonable in depicting the seepage system.

关 键 词：灰集合 渗流系统 灰色数值模型 灰色算法 数值模型 

分 类 号：O302[理学—力学]