Free boundary value problems for a class of generalized diffusion equation

作     者：LiancunZheng XinxinZhang 等 

作者机构：AppliedScienceSchoolUniversityofScienceandTechnologyBeijingBeijing100083China MechanicalEngineeringSchoolUniversityofScienceandTechnologyBeijingBeijing100083China 

出 版 物：《Journal of University of Science and Technology Beijing》 (北京科技大学学报（英文版）)

年 卷 期：2002年第9卷第6期

页      面：422-425页

核心收录：

学科分类：07[理学] 0806[工学-冶金工程] 0818[工学-地质资源与地质工程] 0815[工学-水利工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 0703[理学-化学] 0802[工学-机械工程] 0814[工学-土木工程] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：This work was financially supported by the Cross-Century Talents Projects of Educational Ministry of China and the 973 Key Item (No. G1998061510).] 

主　　题：free boundary value problem generalized diffusion equation nonlinearboundary problem shooting technique 

摘      要：The transport behavior of free boundary value problems for a class ofgeneralized diffusion equations was studied. Suitable similarity transformations were used toconvert the problems into a class of singular nonlinear two-point boundary value problems andsimilarity solutions were numerical presented for different representations of heat conductionfunction, convection function, heat flux function, and power law parameters by utilizing theshooting technique. The results revealed the flux transfer mechanism and the character as well asthe effects of parameters on the solutions.