A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations

DOI10.1016/j.jmaa.2015.08.057zbMath1329.65232OpenAlexW1923323189MaRDI QIDQ890493

Rongpei Zhang, Jiang Zhu, Abimael Fernando Dourado Loula, Xi-Jun Yu

Publication date: 10 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.057

zbMATH Keywords

finite element methodnonlinear Galerkin methodGray-Scott modelreaction diffusion systemssemi-implicit backward differentiation formula (SBDF)

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Operator splitting combined with positivity-preserving discontinuous Galerkin method for the chemotaxis model ⋮ Nonlinear Galerkin finite element methods for fourth-order bi-flux diffusion model with nonlinear reaction term ⋮ Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations ⋮ Front transport reduction for complex moving fronts ⋮ Fourier spectral approximation to global attractor for 2D convective Cahn-Hilliard equation ⋮ A dual-purpose high order compact approach for pattern formation using gray-Scott model

Uses Software

• PRED_PREY

Cites Work

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