Thesis Type: Postgraduate
Institution Of The Thesis: Middle East Technical University, Turkey
Approval Date: 2015
Thesis Language: English
Student: Fehmi Özsoy
Supervisor: BÜLENT KARASÖZEN
Abstract: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.