Optimal Superconvergence Results for Delay Integro‐Differential Equations of Pantograph Type

DOI10.1137/060660357zbMath1144.65083OpenAlexW2024790724MaRDI QIDQ3507499

Qiya Hu, Hermann Brunner

Publication date: 19 June 2008

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060660357

zbMATH Keywords

delayerror boundssuperconvergencecollocationVolterra integro-differential equationpantograph equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (16)

Morgan-Voyce Polynomial Approach for Ordinary Integro-Differential Equations Including Variable Bounds ⋮ Time-dependent Hermite-Galerkin spectral method and its applications ⋮ Tau approximate solution of linear pantograph Volterra delay-integro-differential equation ⋮ Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays ⋮ Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays ⋮ A numerical technique for solving functional integro-differential equations having variable bounds ⋮ Spectrums of solvable pantograph differential-operators for first order ⋮ A new operational approach for numerical solution of generalized functional integro-differential equations ⋮ Bernstein collocation method for neutral type functional differential equation ⋮ On Spectral Method for Volterra Functional Integro-Differential Equations of Neutral Type ⋮ Direct operatorial tau method for pantograph-type equations ⋮ Convergence analysis of an Arnoldi order reduced Runge-Kutta method for integro-differential equations of pantograph type ⋮ Superconvergence in collocation methods for Volterra integral equations with vanishing delays ⋮ Recent advances in the numerical analysis of Volterra functional differential equations with variable delays ⋮ Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays ⋮ The operational matrix of Chebyshev polynomials for solving pantograph-type Volterra integro-differential equations

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