This title appears in the Scientific Report :
2020
Please use the identifier:
http://hdl.handle.net/2128/24790 in citations.
Please use the identifier: http://dx.doi.org/10.1016/j.jcp.2020.109490 in citations.
A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
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 re...
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Personal Name(s): | Asante-Asamani, E. O. |
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Kleefeld, A. (Corresponding author) / Wade, B. A. | |
Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: | Journal of computational physics, 415 (2020) S. 109490 |
Imprint: |
Amsterdam
Elsevier
2020
|
DOI: |
10.1016/j.jcp.2020.109490 |
Document Type: |
Journal Article |
Research Program: |
Computational Science and Mathematical Methods |
Link: |
Published on 2020-04-29. Available in OpenAccess from 2022-04-29. Published on 2020-04-29. Available in OpenAccess from 2022-04-29. |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1016/j.jcp.2020.109490 in citations.
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. |