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- W4290805887 abstract "We are concerned with a backward problem associated with a semi-linear time-fractional heat equation in an axis-symmetric cylinder, which arises from the modeling of the blast furnace steelmaking in metallurgy. Under some assumptions, the existence and uniqueness of the solution to the semi-linear problem is first established. The ill-posedness of the backward problem is then established, and we obtain the error estimates by a generalized quasi-boundary value regularization method. Finally, the numerical experiment is presented to demonstrate the effectiveness of the proposed method." @default.
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- W4290805887 date "2022-08-11" @default.
- W4290805887 modified "2023-10-17" @default.
- W4290805887 title "A generalized quasi‐boundary value method for the backward semi‐linear time‐fractional heat problem in a cylinder" @default.
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- W4290805887 doi "https://doi.org/10.1002/mma.8617" @default.
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