Abstract
In this paper, we consider an inverse source problem for a fractional pseudo-parabolic equation. We show that the problem is severely ill-posed (in the sense of Hadamard) and the Tikhonov regularization method is proposed to solve the problem. In addition, we present numerical examples to illustrate applicability and accuracy of the proposed method to some extent.
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Long, L.D., Luc, N.H., Tatar, S. et al. An inverse source problem for pseudo-parabolic equation with Caputo derivative. J. Appl. Math. Comput. 68, 739–765 (2022). https://doi.org/10.1007/s12190-021-01546-5
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DOI: https://doi.org/10.1007/s12190-021-01546-5
Keywords
- Source problem
- Fractional pseudo-parabolic problem
- Ill-posed problem
- Convergence estimates
- Regularization