Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations

DOI10.4208/AAMM.OA-2019-0116zbMath1488.65159MaRDI QIDQ5156939

Kun Jiang, Qiumei Huang, Xiuxiu Xu

Publication date: 12 October 2021

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

zbMATH Keywords

global convergencediscontinuous Galerkin methodgraded meshesweakly singularlocal superconvergencemulti-pantograph

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 (1)

Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay

Cites Work

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• Local Superconvergence of Continuous Galerkin Solutions for Delay Differential Equations of Pantograph Type
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• Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type
• Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay
• hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations
• Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels

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