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

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2015

Author

Özsoy, Fehmi

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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.

Subject Keywords

Galerkin methods., Numerical analysis., Reaction-diffusion equations.

URI

http://etd.lib.metu.edu.tr/upload/12619548/index.pdf
https://hdl.handle.net/11511/25277

Collections

Graduate School of Applied Mathematics, Thesis

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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.