摘要
本文主要是针对生物与化学等学科所涉及的反映扩散方程反应扩散系数问题,首先利用离散的方法得到极坐标下的球形传递装置非线性扩散的最优控制模型.然后利用迭代的方法,并最终通过最小二乘法估计该模型的非线性反应扩散系数.最后,给出相应的算法并以数值实验说明了本文所研究的模型与算法在球形传递装置中具有有效性.
This paper focuses on biological and chemical disciplines involved in reflecting the problem of reac tion diffusion coefficient of diffusion equation. Under polar coordinates, the optimal control for nonlinear diffu sion model is obtained by the method of discrete spherical transfer device. Then by using the method of itera tion and the least squares method, a the nonlinear reaction diffusion coefficient of the model is estimated. Fi nally, the corresponding algorithm is presented in this paper, numerical experiment shows the algorithm is ef fective in the ball transfer unit.
出处
《数学理论与应用》
2015年第4期41-46,共6页
Mathematical Theory and Applications
关键词
球形传递装置
非线性扩散方程
迭代法
最小二乘法
Spherical transfer device Nonlinear diffusion equation Iteration method Least square method
