The weighting subspaces of the tau method and orthogonal collocation

DOI10.1016/j.jmaa.2006.03.019zbMath1119.65065OpenAlexW2085732316MaRDI QIDQ860974

Mohamed K. El-Daou, Eduardo L. Ortiz

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.019

zbMATH Keywords

orthogonal polynomialsprojection methodstau methodorthogonal collocation method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (6)

The adaptive operational tau method for systems of ODEs ⋮ Numerical solution of the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational tau method and error estimation ⋮ The \(L^{2}\)-convergence of the Legendre spectral tau matrix formulation for nonlinear fractional integro differential equations ⋮ Some remarks on structural relations between the tau method and the finite element method ⋮ Numerical computation of the tau approximation for the Volterra-Hammerstein integral equations ⋮ Unnamed Item

Cites Work

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• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• A recursive formulation of collocation in terms of canonical polynomials
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions

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