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27 September 2022 Adaptive time step finite element approximation for anomalous diffusion equation
Qian Jiang, Liang Ge
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Proceedings Volume 12345, International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022); 1234509 (2022) https://doi.org/10.1117/12.2648809
Event: 2022 International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 2022, Qingdao, China
Abstract
This article is devoted to the numerical solution of the anomalous diffusion model governed by fractional diffusion equations using adaptive time stepping finite element method. We obtain a full discretization approximation by backward-Euler scheme in time direction and finite element discretization in space. An algorithm is given for the full discretization approximation by the adaptive time stepping method. The theoretical results is illustrated with numerical tests.
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Qian Jiang and Liang Ge "Adaptive time step finite element approximation for anomalous diffusion equation", Proc. SPIE 12345, International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 1234509 (27 September 2022); https://doi.org/10.1117/12.2648809
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KEYWORDS
Numerical analysis
Finite element methods
Algorithm development
Partial differential equations
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