Shigesada-Kawasaki-Teramoto (SKT) is the most known equation in population ecology for nonlinear cross-diffusion systems. The full order model (FOM) of the SKT system is constructed using symmetric interior penalty discontinuous Galerkin method (SIPG) in space and the semi-implicit Euler method in time. The reduced order models (ROMs) are solved using proper orthogonal decomposition (POD) Galerkin projection. Discrete empirical interpolation method (DEIM) is used to solve the nonlinearities of the SKT system. Numerical simulations show the accuracy and efficiency of the POD and POD-DEIM reduced solutions for the SKT system.
discontinuous Galerkin method discrete empirical interpolation method proper orthogonal decomposition Shigesada-Kawasaki-Teramoto equation
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 7 Ağustos 2023 |
Gönderilme Tarihi | 14 Ocak 2023 |
Kabul Tarihi | 6 Mart 2023 |
Yayımlandığı Sayı | Yıl 2023 |
Journal of Mathematical Sciences and Modelling
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