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000875175 1001_ $$0P:(DE-HGF)0$$aAsante-Asamani, E. O.$$b0
000875175 245__ $$aA second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
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000875175 520__ $$aA second-order L-stable exponential time-differencing (ETD) method is developed by combining an ETD scheme with approximating the matrix exponentials by rational functions having real distinct poles (RDP), together with a dimensional splitting integrating factor technique. A variety of non-linear reaction-diffusion equations in two and three dimensions with either Dirichlet, Neumann, or periodic boundary conditions are solved with this scheme and shown to outperform a variety of other second-order implicit-explicit schemes. An additional performance boost is gained through further use of basic parallelization techniques.
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000875175 7001_ $$0P:(DE-Juel1)169421$$aKleefeld, A.$$b1$$eCorresponding author
000875175 7001_ $$0P:(DE-HGF)0$$aWade, B. A.$$b2
000875175 773__ $$0PERI:(DE-600)1469164-4$$a10.1016/j.jcp.2020.109490$$gp. 109490 -$$p109490$$tJournal of computational physics$$v415$$x0021-9991$$y2020
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