A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
2019 ◽
Vol 27
(5)
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pp. 609-621
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Keyword(s):
A Priori
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Abstract In this paper, an inverse problem to identify the initial value for high dimension time fractional diffusion equation on spherically symmetric domain is considered. This problem is ill-posed in the sense of Hadamard, so the quasi-boundary regularization method is proposed to solve the problem. The convergence estimates between the regularization solution and the exact solution are presented under the a priori and a posteriori regularization parameter choice rules. Numerical examples are provided to show the effectiveness and stability of the proposed method.
2020 ◽
Vol 28
(2)
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pp. 211-235
2019 ◽
Vol 34
(3)
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pp. 284-308
2019 ◽
Vol 349
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pp. 292-303
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2017 ◽
Vol 18
(5)
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pp. 385-393
2017 ◽
Vol 97
(5)
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pp. 842-863
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2019 ◽
Vol 38
(2)
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