Single-Term Walsh Series Direct Method for the Solution of Nonlinear Problems in the Calculus of Variations

DOI10.1177/1077546304042071zbMath1092.49022OpenAlexW2016167817MaRDI QIDQ5706712

B. Sepehrian, Mohsen Razzaghi

Publication date: 21 November 2005

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546304042071

zbMATH Keywords

numerical methodsbrachistochrone problemsingle-term Walsh series

Mathematics Subject Classification ID

Newton-type methods (49M15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

Solving calculus of variation problems via multiquadric radial basis function method with optimal shape parameter ⋮ Brachistochrone with limited reaction of constraint in an arbitrary force field ⋮ On the brachistochrone of a variable mass particle in general force fields ⋮ Computation of eigenvalues and solutions of regular Sturm-Liouville problems using Haar wavelets ⋮ Composite spectral functions for solving Volterra's population model ⋮ Numerical solutions of delay Volterra integral equations using single-term Walsh series approach ⋮ Radial basis functions approach on optimal control problems: a numerical investigation ⋮ On the brachistochronic motion of a variable-mass mechanical system in general force fields

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