TY  - JOUR
A1  - Asante-Asamani, E.O.
A1  - Kleefeld, Andreas
A1  - Wade, B.A.
T1  - A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
JF  - Journal of Computational Physics
N2  - A second-order L-stable exponential time-differencing (ETD) method is developed by combining an ETD scheme with approximating the matrix exponentials by rational functions having real distinct poles (RDP), together with a dimensional splitting integrating factor technique. A variety of non-linear reaction-diffusion equations in two and three dimensions with either Dirichlet, Neumann, or periodic boundary conditions are solved with this scheme and shown to outperform a variety of other second-order implicit-explicit schemes. An additional performance boost is gained through further use of basic parallelization techniques.
KW  - Exponential time differencing
KW  - Real distinct pole
KW  - Dimensional splitting
KW  - Reaction-diffusion systems
KW  - Matrix exponential
Y1  - 2020
U6  - https://doi.org/10.1016/j.jcp.2020.109490
SN  - 0021-9991
N1  - Corresponding author: Andreas Kleefeld
VL  - 415
PB  - Elsevier
CY  - Amsterdam
ER  -