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An extension of the landweber regularization for a backward time fractional wave problem
2018
Discrete and Continuous Dynamical Systems. Series S
In this paper, we investigate numerical methods for a backward problem of the time-fractional wave equation in bounded domains. We propose two fractional filter regularization methods, which can be regarded as an extension of the classical Landweber iteration for the time-fractional wave backward problem. The idea is first to transform the ill-posed backward problem into a weighted normal operator equation, then construct the regularization methods for the operator equation by introducing
doi:10.3934/dcdss.2020409
fatcat:slaljzo53zcwfgdwz23tjtzndi