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 fork(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 e decreases with increasing in power law parameter N, and for each fixed N, the temperature distribution 6 increases with the decreasing of M.
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)=s M, 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.
基金
Cross-Century Talents Proects of Ministry of Education of China
the "973" Key Foundation under the contractNo.G l99806l5l0.