期刊文献+
共找到1篇文章
< 1 >
每页显示 20 50 100
TWO REGULARIZATION METHODS FOR IDENTIFYING THE SOURCE TERM PROBLEM ON THE TIME-FRACTIONAL DIFFUSION EQUATION WITH A HYPER-BESSEL OPERATOR
1
作者 Fan YANG Qiaoxi SUN Xiaoxiao LI 《Acta Mathematica Scientia》 SCIE CSCD 2022年第4期1485-1518,共34页
In this paper,we consider the inverse problem for identifying the source term of the time-fractional equation with a hyper-Bessel operator.First,we prove that this inverse problem is ill-posed,and give the conditional... In this paper,we consider the inverse problem for identifying the source term of the time-fractional equation with a hyper-Bessel operator.First,we prove that this inverse problem is ill-posed,and give the conditional stability.Then,we give the optimal error bound for this inverse problem.Next,we use the fractional Tikhonov regularization method and the fractional Landweber iterative regularization method to restore the stability of the ill-posed problem,and give corresponding error estimates under different regularization parameter selection rules.Finally,we verify the effectiveness of the method through numerical examples. 展开更多
关键词 Time-fractional diffusion equation source term problem fractional Landweber regularization method Hyper-Bessel operator fractional Tikhonov regularization method
下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部