The continuous Galerkin finite element methods for linear neutral delay differential equations

DOI10.1016/j.amc.2018.10.056zbMath1429.65136OpenAlexW2899281865WikidataQ129020176 ScholiaQ129020176MaRDI QIDQ2008396

Qifeng Zhang, Shaohua Wan, Hongyu Qin

Publication date: 25 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.056

zbMATH Keywords

superconvergenceneutral delay differential equationscontinuous Galerkin finite element method

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Neutral functional-differential equations (34K40) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for functional-differential equations (65L03)

Related Items (8)

Superconvergence of discontinuous Galerkin method for neutral delay differential equations ⋮ Accuracy of the Laplace transform method for linear neutral delay differential equations ⋮ Solutions of neutral delay differential equations using a generalized Lambert \(W\) function ⋮ Analytical solutions of linear delay-differential equations with Dirac delta function inputs using the Laplace transform ⋮ Investigations for a type of variable coefficient fractional subdiffusion equation with multidelay ⋮ Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay ⋮ Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods ⋮ A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations

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