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[02449] Recent Advances in Fast Finite Difference Schemes for PDE Problems

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G306
  • Type : Contributed Talk
  • Abstract : In this talk, a fast finite difference scheme is discussed to a hidden-memory variable-order time-fractional diffusion equation. To reduce the computational cost and memory, a modified exponential-sum-approximation method is utilized to discretize the hidden-memory variable-order fractional derivative. We then develop different techniques from the analysis of L1 methods to prove the convergence for the corresponding fast fully discrete scheme. Numerical experiments are presented to substantiate the theoretical results.
  • Classification : 34A08, 26A33, 65D15, 65D40
  • Format : Talk at Waseda University
  • Author(s) :
    • Lu-Yao Sun (University of Macau)