Identification of nonlinear differential equations via Fourier series operational matrix for repeated integration

DOI10.1016/0096-3003(94)00093-JzbMath0821.65050OpenAlexW2029577600MaRDI QIDQ1805238

Yanyan Li

Publication date: 27 September 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)00093-j

zbMATH Keywords

numerical examplesnonlinear differential equationsleast squares methodoperational matrixFourier series expansionidentification problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Inverse problems involving ordinary differential equations (34A55)

Related Items (4)

Fourier series expansion for synchronization of permanent magnet electric motors ⋮ Synchronization of permanent magnet electric motors: new nonlinear advanced results ⋮ Numerical solution of fractional differential equations using the generalized block pulse operational matrix ⋮ Wavelet operational matrix method for solving the Riccati differential equation

Cites Work

• Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Chebyshev approximations
• Optimal control of delay systems via block pulse functions
• Solution of integral equations via Laguerre polynomials
• Solutions of convolution integral and Fredholm integral equations via double Fourier series
• The Fourier series operational matrix of integration
• Parameter identification of non-linear systems using Laguerre operational matrices
• Direct approach for the optimal control of linear time-delay systems via shifted Legend re polynomials
• Parameter identification of non-linear systems via shifted Chebyshev series
• Legendre series for the identification of non-linear lumped systems
• Identification of non-linear distributed system using Walsh functions†
• Identification of non-linear distributed systems via block-pulse functions

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