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| 001 | 1040395 | ||
| 005 | 20250512115735.0 | ||
| 024 | 7 | _ | |a 10.1016/j.cam.2025.116568 |2 doi |
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| 082 | _ | _ | |a 510 |
| 100 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 0 |u fzj |
| 245 | _ | _ | |a A fourth-order exponential time differencing scheme with dimensional splitting for non-linear reaction–diffusion systems |
| 260 | _ | _ | |a Amsterdam [u.a.] |c 2025 |b North-Holland |
| 336 | 7 | _ | |a article |2 DRIVER |
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| 336 | 7 | _ | |a Journal Article |0 0 |2 EndNote |
| 520 | _ | _ | |a A 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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| 700 | 1 | _ | |a Asante-Asamani, E. O. |0 P:(DE-HGF)0 |b 1 |e Corresponding author |
| 700 | 1 | _ | |a Wade, B. A. |0 P:(DE-HGF)0 |b 2 |
| 773 | _ | _ | |a 10.1016/j.cam.2025.116568 |g Vol. 465, p. 116568 - |0 PERI:(DE-600)1468806-2 |p 116568 |t Journal of computational and applied mathematics |v 465 |y 2025 |x 0771-050X |
| 856 | 4 | _ | |u https://www.sciencedirect.com/science/article/pii/S0377042725000834 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/1040395/files/revised2.pdf |y OpenAccess |
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