Reduced order modelling of nonlinear cross-diffusion systems

DOI10.1016/j.amc.2021.126058OpenAlexW3034365486MaRDI QIDQ2242711

Gülden Mülayim, Süleyman Yıldız, Murat Uzunca, Bülent Karasözen

Publication date: 10 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07147

zbMATH Keywords

entropypattern formationproper orthogonal decompositionfinite differencestensor algebraprincipal interval decomposition

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (3)

Nonintrusive model order reduction for cross-diffusion systems ⋮ Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems ⋮ A Meshfree Approach Based on Moving Kriging Interpolation for Numerical Solution of Coupled Reaction-Diffusion Problems

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