径向热传导方程源项的分数阶Tikhonov-Landweber反演方法

Fractional Tikhonov-Landweber Iterative Regularization Method for Identifying Source Term of the Radial Heat Conduction Equation

本文研究了时间分数阶的径向热传导方程的源项反演问题.根据径向区域的终止时刻数据,利用分数阶Tikhonov-Landweber迭代正则化方法,求得在先验和后验的条件下的正则化解并得到相应误差.最后,数值实验表明了该正则化方法是有效的.

In this article,a source term inversion problem of time fractional order radial heat conduction equation is considered.According to the final temperature of the radial domain,the iterative fractional Tikhonov-Landweber regularized is conducted to obtain the regularized approximate solution and corresponding error based on a-prior and a-posterior condition.Numerical examples confirm the effectiveness of the regularization method.