A localized extrinsic collocation method for Turing pattern formations on surfaces

DOI10.1016/j.aml.2021.107534OpenAlexW3184879880MaRDI QIDQ2236719

Yanyan Li

Publication date: 26 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107534

zbMATH Keywords

generalized finite difference methodPDEs on surfaceslocalized meshless methodsemi-implicit backward differentiation method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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

Simulation of antiplane piezoelectricity problems with multiple inclusions using the generalized finite difference method ⋮ A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials ⋮ Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics ⋮ A machine learning approach coupled with polar coordinate based localized collocation method for inner surface identification in heat conduction problem ⋮ A radial basis function approximation method for conservative Allen-Cahn equations on surfaces

Uses Software

• PPM
• DistMesh

Cites Work

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