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On a weighted time-fractional asymptotical regularization method
Journal of Computational and Applied Mathematics ( IF 2.4 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.cam.2021.113579
Xiangtuan Xiong , Xuemin Xue , Zhenping Li

In this paper we study a weighted time-fractional asymptotical regularization method for solving linear ill-posed problems Ax=y where only noisy data yδ with yδyδ are available and A is a linear bounded operator. This regularization method can be considered as a preconditioned version for the newly-developed time-fractional asymptotical regularization method. Error analysis and numerical tests show that the method has acceleration effect on the original time-fractional asymptotical regularization method.



中文翻译:

关于加权时间分数渐近正则化方法

本文研究了一种求解线性不适定问题的加权时间分数次渐近正则化方法 一种X=ÿ 只有嘈杂的数据 ÿδÿδ-ÿδ 可用和 一种是线性有界算子。这种正则化方法可以看作是新开发的时间分数渐近正则化方法的前提版本。误差分析和数值试验表明,该方法对原始的时间分数次渐近正则化方法具有加速作用。

更新日期:2021-04-09
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