Recurrence Relations for the Coefficients in Chebyshev Series Solutions of Ordinary Differential Equations

DOI10.2307/2006201zbMath0446.65040OpenAlexW4242658417MaRDI QIDQ3891704

Thomas Sumner Horner

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2006201

zbMATH Keywords

polynomial coefficientsrecurrence relationsChebyshev series solutionslinear differential equations of first to fourth order

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items

Modified Hermite polynomials in the spectral approximation for boundary layer problems ⋮ The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function ⋮ Chebyshev series solution of the two dimensional heat equation ⋮ The solution of the biharmonic equation in a rectangular region by Chebyshev series

Cites Work

• The special functions and their approximations. Vol. I, II
• Chebyshev Polynomials in the Numerical Solution of Differential Equations
• Chebyshev Expansions for the Error and Related Functions
• An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation
• Clenshaw's Method for Evaluating Certain Finite Series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item