Rational Chebyshev collocation method for solving higher-order linear ordinary differential equations

DOI10.1002/num.20573zbMath1226.65072OpenAlexW2172024322MaRDI QIDQ3093106

Bekir Tanay, Mustafa Gülsu, Mehmet Sezer

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1002/num.20573

zbMATH Keywords

numerical examplesvariable coefficientshigher-order linear ordinary differential equationrational Chebyshev tau methodTaylor-Chebyshev collocation methods

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 (7)

A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations ⋮ On a hybrid spectral exponential Chebyshev method for time-fractional coupled Burgers equations on a semi-infinite domain ⋮ Numerical solution to the Falkner-Skan equation: a novel numerical approach through the new rational \(a\)-polynomials ⋮ Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations ⋮ A new Fibonacci type collocation procedure for boundary value problems ⋮ A new kind of double Chebyshev polynomial approximation on unbounded domains ⋮ A spectral collocation matrix method for solving linear Fredholm integro-differential-difference equations

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