[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.
