28 citations · 53 across the 4 of their papers we have counts for
4 papers
Reduced Order Optimal Control of the Convective FitzHugh-Nagumo Equation
Bülent Karasözen, Murat Uzunca, Tuğba Küçükseyhan
In this paper, we compare three model order reduction methods: the proper orthogonal decomposition (POD), discrete empirical interpolation method (DEIM) and dynamic mode decomposit…
Moving Mesh Discontinuous Galerkin Methods for PDEs with Traveling Waves
Murat Uzunca, Bülent Karasözen, Tuğba Küçükseyhan
In this paper, a moving mesh discontinuous Galerkin (dG) method is developed for nonlinear partial differential equations (PDEs) with traveling wave solutions. The moving mesh stra…
Optimal Control of Convective FitzHugh-Nagumo Equation
Murat Uzunca, Tuğba Küçükseyhan, Hamdullah Yücel +1
We investigate smooth and sparse optimal control problems for convective FitzHugh-Nagumo equation with travelling wave solutions in moving excitable media. The cost function includ…
Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems
Bülent Karasözen, Tuğba Küçükseyhan, Murat Uzunca
Activator-inhibitor FitzHugh-Nagumo (FHN) equation is an example for reaction-diffusion equations with skew-gradient structure. We discretize the FHN equation using symmetric inter…