Space-time spectral method for two-dimensional semilinear parabolic equations

DOI10.1002/mma.3532zbMath1352.65394OpenAlexW2110645050MaRDI QIDQ2809490

Jiebao Sun, Boying Wu, Wen-Jie Liu

Publication date: 30 May 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3532

zbMATH Keywords

convergencesemilinear parabolic equationerror estimatesemidiscretizationspectral collocation methodnumerical resultGalerkin-Legendre spectral methodspace-time spectral method

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Semilinear parabolic equations (35K58)

Related Items

Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology, Space–time spectral collocation method for one-dimensional PDE constrained optimisation, A space-time spectral collocation method for the two-dimensional variable-order fractional percolation equations, Space-time spectral method for the Cattaneo equation with time fractional derivative, Legendre-Petrov-Galerkin Chebyshev spectral collocation method for second-order nonlinear differential equations

Uses Software

• Matlab
• NewtonLib

Cites Work

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