Combination of non-classical pseudospectral and direct methods for the solution of brachistochrone problem

DOI10.1080/00207160802524754zbMath1197.65073OpenAlexW1987327151MaRDI QIDQ5747724

Mohammad Maleki, Abdollah Hadi-Vencheh

Publication date: 14 September 2010

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

Full work available at URL: https://doi.org/10.1080/00207160802524754

zbMATH Keywords

optimal controlquadratic programmingnumerical examplesdirect methodquasilinearization methodbrachistochrone problemlinear-quadraticnon-classical pseudospectral method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for free problems in two or more independent variables (49J10) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items

Pseudospectral methods based on nonclassical orthogonal polynomials for solving nonlinear variational problems ⋮ Adaptive pseudospectral methods for solving constrained linear and nonlinear time-delay optimal control problems ⋮ Solving brachistochrone problem via scaling functions of Daubechies wavelets ⋮ A numerical solution of problems in calculus of variation using direct method and nonclassical parameterization

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