On a backward problem for inhomogeneous time-fractional diffusion equations
In this paper, we consider a final value problem for time-fractional diffusion equation with inhomogeneous source. The main goal of our paper is to determine an approximated initial data from the observation data at final time by constructing a regularized solution using a mollification method. Unde...
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Veröffentlicht in: | Computers & mathematics with applications (1987) 2019-09, Vol.78 (5), p.1317-1333 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, we consider a final value problem for time-fractional diffusion equation with inhomogeneous source. The main goal of our paper is to determine an approximated initial data from the observation data at final time by constructing a regularized solution using a mollification method. Under appropriate regularity assumptions of the exact solution, we give convergence rate between the reconstructed solution and the exact one. We also provide a numerical example to illustrate the main results. |
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ISSN: | 0898-1221 1873-7668 |
DOI: | 10.1016/j.camwa.2019.02.014 |