Numerical solution of the Fisher’s equation with discontinous Galerkin method

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2015
Özsoy, Fehmi
In this thesis, the Fisher’s equation is discretized in space with the symmetric interior point discontinuous Galerkin (SDIPG). As time integrator Kahan’s method is used, which is n efficient linearly implicit time integrator for PDE with quadratic nonlinearities like the Fisher’s equation. Numerical results for the SIPG method, Kahan’s method and mid-point method confirm the theoretically predicted convergence orders in space and time. Travelling waves with steep fronts are numerically well resolved in reaction dominated regimes.

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Citation Formats
F. Özsoy, “Numerical solution of the Fisher’s equation with discontinous Galerkin method,” M.S. - Master of Science, Middle East Technical University, 2015.