Chebyshev polynomial approximations for nonlinear differential initial value problems

DOI10.1016/J.NA.2005.02.050zbMath1224.65170OpenAlexW1978411649MaRDI QIDQ999569

J. Martínez

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.050

zbMATH Keywords

Chebyshev polynomialserror bound

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

A comparative study of the numerical approximation of the random Airy differential equation ⋮ Unnamed Item ⋮ Chebyshev collocation method for solving singular integral equation with cosecant kernel ⋮ Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method ⋮ Constructing accurate polynomial approximations for nonlinear differential initial value problems

Cites Work

• The truncation error of the two-variable Chebyshev series expansions
• Constructive polynomial approximation with \textit{a priori} error bounds for nonlinear initial value differential problems
• Numerical solution of multi-point boundary value problems in Chebyshev series. Theorie of the method
• Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems
• Unnamed Item

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