An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains

DOI10.1016/j.jcp.2015.07.016zbMath1352.65393OpenAlexW1268400865MaRDI QIDQ729277

Graeme Fairweather, Ryan I. Fernandes, Bernard Bialecki

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.07.016

zbMATH Keywords

alternating direction implicit methodSchnakenberg modelorthogonal spline collocationnonlinear reaction-diffusion systemsevolving domainsextrapolated Crank-Nicolson method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (12)

Convergence analysis and error estimate of second-order implicit–explicit scheme for Gray-Scott model ⋮ Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations ⋮ A nonoscillatory second-order time-stepping procedure for reaction-diffusion equations ⋮ Stable rotational symmetric schemes for nonlinear reaction-diffusion equations ⋮ A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation ⋮ An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface ⋮ Unnamed Item ⋮ A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations ⋮ WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation ⋮ Pattern dynamics in a Gierer-Meinhardt model with a saturating term ⋮ Extrapolated ADI Crank–Nicolson orthogonal spline collocation for coupled Burgers' equations ⋮ A meshless collocation method with a global refinement strategy for reaction-diffusion systems on evolving domains

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