Thesis supervisor: Ferenc Izsák
Location of studies (in Hungarian): Dept. of Applied Analysis and Computational Mathematics Abbreviation of location of studies: ELTE
Description of the research topic:
In the theoretical and numerical study of the anomalous diffusion one important open problem is the treatment of Neumann boundary conditions. The proposed research topic is to develop a meaningful model of this and develop numerical simulations with a corresponding convergence theory. One can start with the one-dimensional case for inhomogeneous boundary conditions and move to the multidimensional case wth homogeneous conditions. Discrete stochastic simulations are also of interest.
Further requirements: basic programming skills (Matlab is satisfactory) and basic PDE's and functional analysis