%0 Journal Article
%A Asante-Asamani, E. O.
%A Kleefeld, A.
%A Wade, B. A.
%T A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
%J Journal of computational physics
%V 415
%@ 0021-9991
%C Amsterdam
%I Elsevier
%M FZJ-2020-01857
%P 109490
%D 2020
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000538393900009
%R 10.1016/j.jcp.2020.109490
%U https://juser.fz-juelich.de/record/875175