Abstract
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 ‖yδ−y‖≤δ 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.
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