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

---

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.