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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 4, Pages 29–37
(Mi sjim802)
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This article is cited in 2 scientific papers (total in 2 papers)
Application of the finite element method for inverse problems of anomalous diffusion
A. N. Bondarenkoa, D. S. Ivashchenkob a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b RN-UfaNIPIneft, 3/1 Bekhterev st., 450103 Ufa
Abstract:
We consider some aspects of the application of the finite element method for the numerical solution of initial boundary value problems for a multidimensional time-fractional diffusion equation. A survey of the existing results is made, efficient algorithms for constructing meshes are discussed, and a number of numerical examples is exposed.
Keywords:
finite element method, anomalous diffusion, fractional derivative, automatic mesh generation.
Received: 11.04.2013
Citation:
A. N. Bondarenko, D. S. Ivashchenko, “Application of the finite element method for inverse problems of anomalous diffusion”, Sib. Zh. Ind. Mat., 16:4 (2013), 29–37; J. Appl. Industr. Math., 8:1 (2014), 1–8
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https://www.mathnet.ru/eng/sjim802 https://www.mathnet.ru/eng/sjim/v16/i4/p29
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Abstract page: | 448 | Full-text PDF : | 323 | References: | 67 | First page: | 13 |
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