The finite element method in anomalous diffusion problems

  • A. N. Bondarenko
  • D. S. Ivashchenko


Under consideration are some aspects of application of the finite element method to numerical solution of the initial boundary value problems for a multidimensional time-fractional diffusion equation. Some survey of the available results is given, the algorithms for constructing meshes are discussed, and a few numerical examples are presented.


finite element method anomalous diffusion fractional derivative automatic mesh generation 


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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.RN-UfaNIPIneftUfaRussia

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