Local Superconvergence of Continuous Galerkin Solutions for Delay Differential Equations of Pantograph Type

DOI10.4208/JCM.1511-M2014-0216zbMath1363.65113OpenAlexW2326480026MaRDI QIDQ2823750

Xiuxiu Xu, Hongtao Chen, Qiumei Huang

Publication date: 6 October 2016

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c408e6705cbce8d85886b5f54ee26dbd1a5d27b0

zbMATH Keywords

numerical examplessuperconvergencesuperclosenessuniform meshcontinuous Galerkin methodspantograph delay differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for functional-differential equations (65L03)

Related Items (11)

Accuracy of the Laplace transform method for linear neutral delay differential equations ⋮ Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type ⋮ A new numerical method to solve pantograph delay differential equations with convergence analysis ⋮ Modified Chebyshev collocation method for pantograph-type differential equations ⋮ Ana priorierror analysis of thehp-version of theC⁰-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations ⋮ An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations ⋮ Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations ⋮ Superconvergence of discontinuous Galerkin methods for nonlinear delay differential equations with vanishing delay ⋮ The continuous Galerkin finite element methods for linear neutral delay differential equations ⋮ An \(h\)-\(p\) version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations ⋮ A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations

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