The initial, boundary value problems for a class of generalized diffusion equations

被引：0
|
作者：
Liancun Zheng
Xinxin Zhang
Jicheng He
机构：
[1] University of Science and Technology Beijing,Department of Mathematics & Mechanics
[2] University of Science and Technology Beijing,Mechanical Engineering School
[3] Northeastern University,Thermal Engineering Department
来源：
Journal of Thermal Science | 2002年 / 11卷
关键词：
generalized diffusion equation; nonlinear boundary value problem; positive solution; shooting technique;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The behavior for a class of initial, boundary value problems of generalized diffusion equations was studied utilizing the similarity transformation and shooting technique. Numerical solutions are presented for k(s)=sM, exponent M=1.0 to 5.0, and power law parameter N (N=0.3 to 3.0). The results shown that for each fixed M, the temperature distribution θ decreases with increasing in power law parameter N, and for each fixed N, the temperature distribution θ increases with the decreasing of M.
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页码：31 / 34
页数：3
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