Bernstein collocation method for neutral type functional differential equation
type: Item
instance of: scholarly article
title: Bernstein collocation method for neutral type functional differential equation
author: Ishtiaq Ali
published in: Mathematical Biosciences and Engineering
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 65Lxx
zbMATH DE Number: 7393675
zbMATH Keywords: Bernstein collocation method
zbMATH Keywords: functional differential equation
zbMATH Keywords: convergence analysis
zbMATH Keywords: numerical examples
Wikidata QID: Q115218799
MaRDI profile type: Publication
full work available at URL: mbe.2021140
OpenAlex ID: W3138065123
cites work: Legendre-Bernstein basis transformations
cites work: Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains
cites work: Approximation and modeling with B-splines
cites work: Algorithms for polynomials in Bernstein form
cites work: Numerical Solution of Implicit Neutral Functional Differential Equations
cites work: Q3572296
cites work: Spectral methods for pantograph-type differential and integral equations with multiple delays
cites work: Spectral Methods
cites work: Q3064721
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Optimal Superconvergence Results for Delay Integro‐Differential Equations of Pantograph Type
cites work: Geometric meshes in collocation methods for Volterra integral equations with proportional delays
cites work: Numerical Methods for Delay Differential Equations
cites work: Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay
cites work: Bernstein operational matrix with error analysis for solving high order delay differential equations
cites work: A new numerical approach for the solution of nonlinear Fredholm integral equations system of second kind by using Bernstein collocation method
cites work: Legendre spectral collocation method for the solution of the model describing biological species living together
cites work: Solutions of differential equations in a Bernstein polynomial basis
cites work: Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
cites work: On Nonlinear Delay Differential Equations
cites work: Direct operatorial tau method for pantograph-type equations
cites work: Rational approximation method for delay differential equations with proportional delay
cites work: Analysis of stochastic delayed SIRS model with exponential birth and saturated incidence rate
cites work: A spectral collocation method for stochastic Volterra integro-differential equations and its error analysis
cites work: Bernstein series solutions of pantograph equations using polynomial interpolation
cites work: On the formulation of a BEM in the Bézier-Bernstein space for the solution of Helmholtz equation
cites work: An accurate treatment of non-homogeneous boundary conditions for development of the BEM
DOI: 10.3934/MBE.2021140
description: scientific article; zbMATH DE number 7393675