A Chebyshev spectral method for time-varying two-point boundary-value and optimal control problems

DOI10.1080/00207160412331296652zbMath1064.65081OpenAlexW2030771153MaRDI QIDQ4653722

Gamal N. Elnagar, Vasilis Zafiris

Publication date: 7 March 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160412331296652

zbMATH Keywords

optimal controlnumerical examplesChebyshev spectral methodprogrammingtwo-point boundary-value problemcell averaging

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving ordinary differential equations (49J15) 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 (4)

Numerical methods based on extended one-step methods for solving optimal control problems ⋮ Optimization of Functional Integral Equations: A Spectral Approach ⋮ Smoothing approach for a class of nonsmooth optimal control problems ⋮ Radial basis functions approach on optimal control problems: a numerical investigation

Cites Work

• A cell-averaging chebyshev spectral method for nonlinear fredholm-hammerstein integral equations
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