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- W4361230468 abstract "It is well-known that the backward heat conduction problem of recovering the temperature $u(cdot, t)$ at a time $tgeq 0$ from the knowledge of the temperature at a later time, namely $g:= u(cdot, tau)$ for $tau>t$, is ill-posed, in the sense that small error in $g$ can lead to large deviation in $u(cdot, t)$. However, in the case of a time fractional backward heat conduction problem (TFBHCP), the above problem is well-posed for $t>0$ and ill-posed for $t=0$. We use this observation to obtain stable approximate solutions for the TFBHCP for $t=0$, and derive error estimates under suitable source conditions. We shall also provide some numerical examples to illustrate the approximation properties of the regularized solutions." @default.
- W4361230468 created "2023-03-31" @default.
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- W4361230468 date "2023-02-28" @default.
- W4361230468 modified "2023-10-16" @default.
- W4361230468 title "A new regularisation for time-fractional backward heat conduction problem" @default.
- W4361230468 doi "https://doi.org/10.48550/arxiv.2303.15455" @default.
- W4361230468 hasPublicationYear "2023" @default.
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