Hybrid Fourier and block-pulse functions for applications in the calculus of variations

DOI10.1080/00207160601056016zbMath1114.65071OpenAlexW2151069947MaRDI QIDQ3437365

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Publication date: 9 May 2007

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

Full work available at URL: https://doi.org/10.1080/00207160601056016

zbMATH Keywords

numerical exampleRitz methodoperational matrixblock-pulse functionshybrid Fourier functions

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (4)

Numerical solution of time-varying delay systems by Chebyshev wavelets ⋮ Solving optimal control problem using Hermite wavelet ⋮ Numerical solution of linear Fredholm integral equations using sine–cosine wavelets ⋮ Analysis of time-varying delay systems by hybrid of block-pulse functions and biorthogonal multiscaling functions

Cites Work

• Shifted Legendre direct method for variational problems
• Laguerre series direct method for variational problems
• A Walsh series direct method for solving variational problems
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions.
• The operational matrix of integration for Bessel functions
• Shifted Chebyshev direct method for solving variational problems
• Fourier series direct method for variational problems
• Haar wavelet method for solving lumped and distributed-parameter systems
• Direct method for variational problems via hybrid of block-pulse and Chebyshev functions
• Unnamed Item

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