Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations

DOI10.1007/s11075-015-0002-xzbMath1334.65171OpenAlexW623475049MaRDI QIDQ5963414

Wen-Jie Liu, Jiebao Sun, Boying Wu

Publication date: 19 February 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-015-0002-x

zbMATH Keywords

convergencesemilinear parabolic equationerror estimatesemidiscretizationnumerical resultblock boundary value methodsGalerkin-Chebyshev 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 (7)

Convergence and global stability analysis of fractional delay block boundary value methods for fractional differential equations with delay ⋮ Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation ⋮ Compact block boundary value methods for semi‐linear delay‐reaction–diffusion equations with algebraic constraints ⋮ Space-time spectral method for the Stokes problem ⋮ Galerkin-Chebyshev pseudo spectral method and a split step new approach for a class of two dimensional semi-linear parabolic equations of second order ⋮ Legendre spectral collocation in space and time for PDEs ⋮ A class of compact boundary value methods applied to semi-linear reaction-diffusion equations

Uses Software

• NewtonLib

Cites Work

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