摘要
针对物流工程领域学科所涉及的扩散方程中的扩散系数求解问题,建立了球形传递装置扩散优化控制模型.首先,利用球形坐标系变换公式,得到极坐标下的扩散优化控制模型.然后,采用迭代的方法,通过最小二乘法估计该模型的扩散系数.最后,通过数值实例,验证了扩散优化控制模型及算法的有效性和收敛性.
Aiming at the problem of solving the diffusion coefficient in the diffusion equation involved in the field of logistics engineering,the diffusion optimization control model under the spherical transfer device is established.First,the spherical coordinate system transformation formula is used to obtain the diffusion optimization control model under polar coordinates.Then,using an iterative method,the diffusion coefficient of the model is estimated by the least square method.Finally,through numerical examples,the validity and convergence of the diffusion optimization control model and algorithm are verified.
作者
向子权
杨家其
梁学恒
XIANG Zi-quan;YANG Jia-qi;LIANG Xue-heng(School of Transportation and Logistics Engineering,Wuhan University of Technology,Wuhan 430063,China)
出处
《数学的实践与认识》
2022年第1期156-163,共8页
Mathematics in Practice and Theory
基金
中央高校基本科研业务专项资金(215202003)。
关键词
传递装置
迭代法
扩散方程
最小二乘法
transfer device
iterative method
diffusion equation
least square method
