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[02236] An hp-version discontinuous Galerkin method for the generalized Burgers-Huxley Equations with weakly singular kernel

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @A201
  • Type : Contributed Talk
  • Abstract : We study the numerical approximation for the generalized Burgers-Huxley equations with a weakly singular kernel. Firstly, we derive an a priori error estimate for the hp-version of discontinuous Galerkin (DG) time stepping method. For the start-up singularities near t = 0, using geometrically refined time-steps and linearly increasing approximation orders, we get the exponential rates of convergence. For the fully discretized system we combine the DG time-stepping method and DG finite element discretization in space. Finally, the computational results are presented to validate our theoretical results.
  • Classification : 65N15, 65N30
  • Format : Talk at Waseda University
  • Author(s) :
    • Sumit Mahajan (Indian Institute of Technology, Roorkee)
    • Arbaz Khan (IIT Roorkee)