Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving boundaries

DOI10.3934/dcdsb.2019176zbMath1427.65172OpenAlexW2963556482WikidataQ127404828 ScholiaQ127404828MaRDI QIDQ2278509

Shuang Liu, Xin-Feng Liu

Publication date: 5 December 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019176

zbMATH Keywords

Stefan problemstiffnessmoving boundariesKrylov subspaceimplicit integration factor methods

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Moving boundary problems for PDEs (35R37) Numerical methods for stiff equations (65L04) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items

Propagation and reaction–diffusion models with free boundaries ⋮ Propagation, diffusion and free boundaries ⋮ Invasive behaviour under competition via a free boundary model: a numerical approach ⋮ A meshless collocation method with a global refinement strategy for reaction-diffusion systems on evolving domains

Uses Software

• RADAU
• MATLAB expm

Cites Work

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