ADI spectral collocation methods for parabolic problems

DOI10.1016/j.jcp.2010.03.033zbMath1194.65118OpenAlexW1979239960MaRDI QIDQ982975

Bernard Bialecki, Javier de Frutos

Publication date: 28 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.03.033

zbMATH Keywords

convergencenumerical examplesfast Fourier transformsspectral collocation methodsCrank-Nicolson methodparabolic initial-boundary value problemsLegendre and Chebyshev polynomialsalternating directionimplicit (ADI) method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

High order locally one-dimensional methods for solving two-dimensional parabolic equations ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems

Uses Software

• FFTPACK

Cites Work

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