Legendre–Tau Approximations for Functional-Differential Equations

DOI10.1137/0324046zbMath0615.65085OpenAlexW2050282083MaRDI QIDQ4723201

Kazufumi Ito, Russell G. Teglas

Publication date: 1986

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0324046

zbMATH Keywords

comparisonnumerical examplesConvergencespectral methodlinear retarded functional differential equationsLegendre-tau methodtruncated Legendre series

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (13)

On a Legendre tau method for fractional boundary value problems with a Caputo derivative ⋮ Insight into the Stability Analysis of the Reaction-Diffusion Equation Interconnected with a Finite-Dimensional System Taking Support on Legendre Orthogonal Basis ⋮ Onset of chaos in differential delay equations ⋮ Approximation of infinite delay and Volterra type equations ⋮ Segmented tau approximation for test neutral functional differential equations ⋮ Frequency delay‐dependent stability criterion for time‐delay systems thanks to Fourier–Legendre remainders ⋮ A uniformly differentiable approximation scheme for delay systems using splines ⋮ Two families of approximation schemes for delay systems ⋮ Numerical solution of time-delayed functional differential equation control systems ⋮ Method of lines approximations of delay differential equations ⋮ Galerkin approximations with embedded boundary conditions for retarded delay differential equations ⋮ Polynomial Chaos Expansions for the Stability Analysis of Uncertain Delay Differential Equations ⋮ Low-dimensional Galerkin approximations of nonlinear delay differential equations

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