TY  - THES
AU  - Vorderwülbecke, Sophia
TI  - Numerical Solutions of Fractional Nonlinear Advection-Reaction-Diffusion Equations
PB  - The University of Wisconsin-Milwaukee
VL  - Masterarbeit
M1  - FZJ-2018-05282
SP  - v, 60 p.
PY  - 2018
N1  - Masterarbeit, The University of Wisconsin-Milwaukee, 2018
AB  - In this thesis nonlinear differential equations containing advection, reaction and diffusionterms are solved numerically, where the diffusion term is modelled by a fractional derivative.One of the methods employed is a finite difference method for temporal as well as spatialdiscretization. Furthermore, exponential time differencing schemes under consideration ofdifferent matrix exponential approximations are exploited for the temporal discretization,whereas finite differences are used for the spatial approximation. The schemes are applied tothe homogeneous Burgers, Burgers-Fisher and Burgers-Huxley equation and compared withrespect to convergence and efficiency in a numerical investigation.
LB  - PUB:(DE-HGF)19
UR  - https://juser.fz-juelich.de/record/851758
ER  -