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[01365] Non symmetric discontinuous Galerkin method for fractional differential equations

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @E604
  • Type : Contributed Talk
  • Abstract : We study discontinuous Galerkin method for non-autonomous TF-ADR initial boundary value problems (IBVPs) with time fractional derivative of Caputo type. Recently, many efforts have been made to develop effective numerical methods for solving time-fractional problems. One of the typical direct numerical methods is the L1-Scheme, which can be viewed as a piecewise linear approximation to the fractional derivative. We used the classical L1-schemes for time discretization and discontinuous Galerkin method for space variable. Error bounds are established in the discrete energy norm. Finally, the convergence result is verified numerically.
  • Classification : 65M12, 65M15, 65M60
  • Format : Talk at Waseda University
  • Author(s) :