Single and multi‐interval Legendre spectral methods in time for parabolic equations

DOI10.1002/NUM.20135zbMath1103.65107OpenAlexW2027003606MaRDI QIDQ5487780

Jianguo Tang, He-Ping Ma

Publication date: 12 September 2006

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20135

zbMATH Keywords

heat equationerror estimateLegendre polynomial

Mathematics Subject Classification ID

Heat equation (35K05) 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)

Related Items (10)

Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains ⋮ Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains ⋮ A space-time spectral method for the 1-D Maxwell equation ⋮ Fully spectral collocation method for nonlinear parabolic partial integro-differential equations ⋮ Error estimates of a space-time Legendre spectral method for solving the Korteweg-de Vries equation ⋮ A space-time spectral method for solving the nonlinear Klein-Gordon equation ⋮ Numerical solution for the linear time and space fractional diffusion equation ⋮ Some progress in spectral methods ⋮ Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations ⋮ Legendre-Petrov-Galerkin Chebyshev spectral collocation method for second-order nonlinear differential equations

Cites Work

• Spectral Methods and Their Applications
• Unnamed Item

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