The Numerical Solution of Volterra Functional Differential Equations of Neutral Type

DOI10.1137/0718040zbMath0469.65059OpenAlexW2095389866MaRDI QIDQ3923532

Zdzisław Jackiewicz

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1137/0718040

zbMATH Keywords

numerical examplesorder of convergenceneutral functional differential equationsconvergence theoremmethods of Adams-Moulton

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items (12)

A numerical scheme for the solution of neutral integro-differential equations including variable delay ⋮ Existence, Uniqueness and Applications of the Spline Method for Functional-Differential Equation of Neutral Type ⋮ Stability analysis of one-step methods for neutral delay-differential equations ⋮ The Implicit Multistep Block Method with An Off-step Point for Initial Value Problems of Neutral Delay Volterra Integro-differential Equations ⋮ Adams methods for neutral functional differential equations ⋮ Waveform relaxation methods for functional differential systems of neutral type ⋮ Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations ⋮ Sharpness results for state dependent delay differential equations: An overview ⋮ Analysis of an adaptive collocation solution for retarded and neutral delay systems ⋮ Extended block boundary value methods for neutral equations with piecewise constant argument ⋮ Implicit-explicit one-leg methods for nonlinear stiff neutral equations ⋮ Stability of Runge-Kutta methods for delay integro-differential equations

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