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100 1 _ |a Asante-Asamani, E. O.
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245 _ _ |a A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
260 _ _ |a Amsterdam
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520 _ _ |a 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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700 1 _ |a Kleefeld, A.
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700 1 _ |a Wade, B. A.
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773 _ _ |a 10.1016/j.jcp.2020.109490
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856 4 _ |y Published on 2020-04-29. Available in OpenAccess from 2022-04-29.
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