Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/95441
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Jin, B | en_US |
dc.creator | Zhou, Z | en_US |
dc.date.accessioned | 2022-09-19T02:00:56Z | - |
dc.date.available | 2022-09-19T02:00:56Z | - |
dc.identifier.issn | 0266-5611 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/95441 | - |
dc.language.iso | en | en_US |
dc.publisher | Institute of Physics Publishing Ltd. | en_US |
dc.rights | © 2021 The Author(s). Published by IOP Publishing Ltd | en_US |
dc.rights | Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence (https://creativecommons.org/licenses/by/4.0/). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. | en_US |
dc.rights | The following publication Jin, B., & Zhou, Z. (2021). Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source. Inverse Problems, 37(10), 105009 is available at https://doi.org/10.1088/1361-6420/ac1f6d. | en_US |
dc.subject | Inverse potential problem | en_US |
dc.subject | Numerical reconstruction | en_US |
dc.subject | Order determination | en_US |
dc.subject | Subdiffusion | en_US |
dc.subject | Unknown medium | en_US |
dc.title | Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.volume | 37 | en_US |
dc.identifier.issue | 10 | en_US |
dc.identifier.doi | 10.1088/1361-6420/ac1f6d | en_US |
dcterms.abstract | This paper is concerned with an inverse problem of recovering a potential term and fractional order in a one-dimensional subdiffusion problem, which involves a Djrbashian-Caputo fractional derivative of order α ∈ (0, 1) in time, from the lateral Cauchy data. In the model, we do not assume a full knowledge of the initial data and the source term, since they might be unavailable in some practical applications. We prove the unique recovery of the spatially-dependent potential coefficient and the order α of the derivation simultaneously from the measured trace data at one end point, when the model is equipped with a boundary excitation with a compact support away from t = 0. One of the initial data and the source can also be uniquely determined, provided that the other is known. The analysis employs a representation of the solution and the time analyticity of the associated function. Further, we discuss a two-stage procedure, directly inspired by the analysis, for the numerical identification of the order and potential coefficient, and illustrate the feasibility of the recovery with several numerical experiments. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Inverse problems, 2021, v. 37, no. 10, 105009 | en_US |
dcterms.isPartOf | Inverse problems | en_US |
dcterms.issued | 2021 | - |
dc.identifier.scopus | 2-s2.0-85115131369 | - |
dc.identifier.ros | 2021004175 | - |
dc.identifier.eissn | 1361-6420 | en_US |
dc.identifier.artn | 105009 | en_US |
dc.description.validate | 202209 bchy | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | CDCF_2021-2022 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.fundingSource | Others | en_US |
dc.description.fundingText | UK EPSRC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 69554984 | - |
dc.description.oaCategory | CC | en_US |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Jin_Recovering_potential_order.pdf | 1.42 MB | Adobe PDF | View/Open |
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