Journal Article

FZJ-2020-01857

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting

Asante-Asamani, E. O. ; Kleefeld, A. (Corresponding author)FZJ* ; Wade, B. A.

2020
Elsevier Amsterdam

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Please use a persistent id in citations: http://hdl.handle.net/2128/24790  doi:10.1016/j.jcp.2020.109490

Abstract: 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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2020

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

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