A numerical scheme for the solution of neutral integro-differential equations including variable delay

DOI10.1007/s40096-021-00388-3zbMath1486.65085OpenAlexW3137511578WikidataQ115374257 ScholiaQ115374257MaRDI QIDQ2140366

Burcu Gürbüz

Publication date: 20 May 2022

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-021-00388-3

zbMATH Keywords

integro-differential equationvariable delaysmatrix methodneutral-type equationsLaguerre polynomial and series

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of collocation methods for delay differential equations with vanishing delays
• The backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type
• Equilibrated residual error estimates are \(p\)-robust
• Collocation and residual correction
• A unified approach to a posteriori error estimation using element residual methods
• Continuous Runge-Kutta methods for neutral Volterra integro-differential equations with delay
• Stability of Runge-Kutta methods for delay integro-differential equations
• Laguerre approach for solving pantograph-type Volterra integro-differential equations
• A numerical technique for solving functional integro-differential equations having variable bounds
• Collocation methods for Volterra functional integral equations with non-vanishing delays
• Numerical solution of functional differential, integral and integro-differential equations
• A numerical approach for a nonhomogeneous differential equation with variable delays
• A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)
• Laguerre collocation method for solving Fredholm integro-differential equations with functional arguments
• The numerical solution of weakly singular Volterra functional integro-differential equations with variable delays
• Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations
• Stability analysis of numerical methods for linear neutral Volterra delay-integro-differential system
• A novel numerical method for solving Volterra integro-differential equations
• Numerical Treatments for Volterra Delay Integro-differential Equations
• The Numerical Solution of Volterra Functional Differential Equations of Neutral Type
• Numerical Solution of Implicit Neutral Functional Differential Equations
• Modified Laguerre collocation method for solving 1‐dimensional parabolic convection‐diffusion problems
• On Spectral Method for Volterra Functional Integro-Differential Equations of Neutral Type
• Equilibrated residual error estimator for edge elements
• A Method for Solving Nonlinear Volterra Integral Equations of the Second Kind

This page was built for publication: A numerical scheme for the solution of neutral integro-differential equations including variable delay