化学工程中分形问题的正交配置法  

THE METHOD OF ORTHOGONAL COLLOCATION USED IN CHEMICAL ENGINEERING WITH FRACTAL STRUCTURE

作　　者：刘福生[1] 马正飞[2] 王晟[2] 

机构地区：[1]南京林业大学基础部,江苏南京210037 [2]南京化工大学化学工程系,江苏南京210009

出　　处：《计算物理》2001年第3期235-240,共6页Chinese Journal of Computational Physics

摘　　要：将欧氏空间中的正交配置法扩展到分数维的情况 ,并将它应用于化学工程中具有分形结构的反应扩散问题的计算 .并将计算结果与理论解的相应结果作了对比 .The method of orthogonal collocation in Euclid's space has been extended to fractal space,with which the numerical computation of reaction-diffusion problem in chemical engineering has been also performed.The comparisons between calculated results and related analytical solutions show that this extended method gives the same results as theoretical ones,and permits to be used as a powerful numerical tool for the detailed analysis of chemical processes with fractal structure. [

关 键 词：分形 正交配置法 反应扩散问题 数值模拟 化学工程 

分 类 号：TQ015[化学工程] TQ021.4