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001040395 1001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b0$$ufzj
001040395 245__ $$aA fourth-order exponential time differencing scheme with dimensional splitting for non-linear reaction–diffusion systems
001040395 260__ $$aAmsterdam [u.a.]$$bNorth-Holland$$c2025
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001040395 520__ $$aA fourth-order exponential time differencing (ETD) Runge–Kutta scheme with dimensional splitting is developed to solve multidimensional non-linear systems of reaction–diffusion equations (RDE). By approximating the matrix exponential in the scheme with the A-acceptable Padé (2,2) rational function, the resulting scheme (ETDRK4P22-IF) is verified empirically to be fourth-order accurate for several RDE. The scheme is shown to be more efficient than competing fourth-order ETD and IMEX schemes, achieving up to 20X speed-up in CPU time. Inclusion of up to three pre-smoothing steps of a lower order L-stable scheme facilitates efficient damping of spurious oscillations arising from problems with non-smooth initial/boundary conditions.
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001040395 7001_ $$0P:(DE-HGF)0$$aAsante-Asamani, E. O.$$b1$$eCorresponding author
001040395 7001_ $$0P:(DE-HGF)0$$aWade, B. A.$$b2
001040395 773__ $$0PERI:(DE-600)1468806-2$$a10.1016/j.cam.2025.116568$$gVol. 465, p. 116568 -$$p116568$$tJournal of computational and applied mathematics$$v465$$x0771-050X$$y2025
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