New implementation of the tau method for PDEs.

DOI10.1016/j.cam.2003.09.054zbMath1038.65123OpenAlexW1974809035MaRDI QIDQ1426798

D. Massart

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.054

zbMATH Keywords

numerical resultsLU factorizationPolynomial approximationTau method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Improving the accuracy of Chebyshev Tau method for nonlinear differential problems ⋮ Towards a Lanczos' \(\tau \)-method toolkit for differential problems ⋮ Spectral Lanczos’ Tau Method for Systems of Nonlinear Integro-Differential Equations ⋮ A time-splitting tau method for PDE's: a contribution for the spectral \texttt{Tau Toolbox} library ⋮ Dealing with functional coefficients within tau method ⋮ Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications ⋮ An extension of the Tau numerical algorithm for the solution of linear and nonlinear Lane–Emden equations ⋮ Approximating the solution of integro-differential problems via the spectral tau method with filtering

Cites Work

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• Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method
• Numerical treatment of differential equations with the \(\tau\)-method
• Tau method approximation of some integrals related to radiation field problems
• Numerical treatment of moving and free boundary value problems with the tau method
• The algebraic kernel method for the numerical solution of partial differential equations
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions

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