Solving multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type using Bernstein polynomials method
type: Item
instance of: scholarly article
title: Solving multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type using Bernstein polynomials method
zbMATH Open document ID: 1405.65168
author: Esmail Hesameddini
author: Mehdi Shahbazi
published in: Applied Numerical Mathematics
publication date: 2018-12-19T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 6995989
zbMATH Keywords: Volterra-Fredholm integro-differential equations
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: numerical method
zbMATH Keywords: error analysis
MaRDI profile type: Publication
full work available at URL: j.apnum.2018.10.003
OpenAlex ID: W2896814518
cites work: A Chebyshev polynomial approach for linear Fredholm-Volterra integro-differential equations in the most general form
cites work: Stability and error analysis of the reproducing kernel Hilbert space method for the solution of weakly singular Volterra integral equation on graded mesh
cites work: Q3599255
cites work: Computational Methods for Integral Equations
cites work: Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation
cites work: Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions
cites work: Hybrid Bernstein Block–Pulse functions for solving system of fractional integro-differential equations
cites work: Q4594019
cites work: Application of two-dimensional Bernstein polynomials for solving mixed Volterra-Fredholm integral equations
cites work: Bernstein series solutions of pantograph equations using polynomial interpolation
cites work: Q3049321
cites work: Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
cites work: Numerical solution of some classes of integral equations using Bernstein polynomials
cites work: Q3900444
cites work: Q4210921
cites work: The backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type
cites work: Q3995065
cites work: Q5583224
cites work: A New Bernoulli Wavelet Method for Numerical Solutions of Nonlinear Weakly Singular Volterra Integro-Differential Equations
cites work: Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation
cites work: A Taylor collocation method for the approximate solution of general linear Fredholm-Volterra integro-difference equations with mixed argument
cites work: Laguerre approach for solving pantograph-type Volterra integro-differential equations
cites work: A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations
Wikidata QID: Q129089557
DOI: 10.1016/J.APNUM.2018.10.003
description: scientific article; zbMATH DE number 6995989