Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93882
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Li, B | en_US |
dc.creator | Wang, H | en_US |
dc.creator | Wang, J | en_US |
dc.date.accessioned | 2022-08-03T01:24:04Z | - |
dc.date.available | 2022-08-03T01:24:04Z | - |
dc.identifier.issn | 0764-583X | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93882 | - |
dc.language.iso | en | en_US |
dc.publisher | EDP Sciences | en_US |
dc.rights | © EDP Sciences, SMAI 2021 | en_US |
dc.rights | The original publication is available at https://www.esaim-cocv.org/. | en_US |
dc.rights | The following publication Li, B., Wang, H., & Wang, J. (2021). Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. ESAIM: Mathematical Modelling and Numerical Analysis, 55(1), 171-207 is available at https://doi.org/10.1051/m2an/2020072 | en_US |
dc.subject | Convergence | en_US |
dc.subject | Convolution quadrature | en_US |
dc.subject | Fractional diffusion equation | en_US |
dc.subject | Nonlinear | en_US |
dc.subject | Numerical approximation | en_US |
dc.subject | Regularity | en_US |
dc.subject | Variable order | en_US |
dc.subject | Well-posedness | en_US |
dc.title | Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 171 | en_US |
dc.identifier.epage | 207 | en_US |
dc.identifier.volume | 55 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.doi | 10.1051/m2an/2020072 | en_US |
dcterms.abstract | We prove well-posedness and regularity of solutions to a fractional diffusion porous media equation with a variable fractional order that may depend on the unknown solution. We present a linearly implicit time-stepping method to linearize and discretize the equation in time, and present rigorous analysis for the convergence of numerical solutions based on proved regularity results. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | ESAIM : mathematical modelling and numerical analysis (ESAIM: M2AN), Jan.-Feb. 2021, v. 55, no. 1, p. 171-207 | en_US |
dcterms.isPartOf | ESAIM : mathematical modelling and numerical analysis (ESAIM: M2AN) | en_US |
dcterms.issued | 2021-01 | - |
dc.identifier.scopus | 2-s2.0-85101196693 | - |
dc.identifier.eissn | 1290-3841 | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | AMA-0085 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 54045183 | - |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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m2an200080.pdf | 474.78 kB | Adobe PDF | View/Open |
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