Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93882
Title: | Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order | Authors: | Li, B Wang, H Wang, J |
Issue Date: | Jan-2021 | Source: | ESAIM : mathematical modelling and numerical analysis (ESAIM: M2AN), Jan.-Feb. 2021, v. 55, no. 1, p. 171-207 | 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. | Keywords: | Convergence Convolution quadrature Fractional diffusion equation Nonlinear Numerical approximation Regularity Variable order Well-posedness |
Publisher: | EDP Sciences | Journal: | ESAIM : mathematical modelling and numerical analysis (ESAIM: M2AN) | ISSN: | 0764-583X | EISSN: | 1290-3841 | DOI: | 10.1051/m2an/2020072 | Rights: | © EDP Sciences, SMAI 2021 The original publication is available at https://www.esaim-cocv.org/. 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 |
Appears in Collections: | Journal/Magazine Article |
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