Numerical solution of nonlinear integral equations using alternative Legendre polynomials
type: Item
instance of: scholarly article
title: Numerical solution of nonlinear integral equations using alternative Legendre polynomials
zbMATH Open document ID: 1444.65073
author: S. Bazm
author: Alireza Hosseini
published in: Journal of Applied Mathematics and Computing
publication date: 2018-04-13T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 6859473
zbMATH Keywords: Volterra-Fredholm-Hammerstein integral equations
zbMATH Keywords: alternative Legendre polynomials
zbMATH Keywords: collocation method
zbMATH Keywords: operational matrices
MaRDI profile type: Publication
full work available at URL: s12190-016-1060-5
OpenAlex ID: W2537807429
cites work: Q3526485
cites work: On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods
cites work: A reliable treatment for mixed Volterra-Fredholm integral equations
cites work: Q4238590
cites work: Q4718841
cites work: Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations
cites work: Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions
cites work: Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations
cites work: Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations
cites work: A composite collocation method for the nonlinear mixed Volterra-Fredholm-Hammerstein integral equations
cites work: A Walsh series direct method for solving variational problems
cites work: The Legendre wavelets operational matrix of integration
cites work: The Haar wavelets operational matrix of integration
cites work: Parameter identification via Laguerre polynomials
cites work: Shifted Chebyshev direct method for solving variational problems
cites work: Chebyshev series approach to system identification, analysis and optimal control
cites work: Parameter identification via shifted Legendre polynomials
cites work: Operational matrices of Bernstein polynomials and their applications
cites work: The operational matrix of integration for Bessel functions
cites work: The Fourier series operational matrix of integration
cites work: System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series
cites work: Hybrid functions approach for linearly constrained quadratic optimal control problems
cites work: Alternative orthogonal polynomials and quadratures
cites work: Q4061445
cites work: Q3995847
cites work: Best approximation in inner product spaces
cites work: Q3336252
cites work: On implicitly linear and iterated collocation methods for Hammerstein integral equations
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Numerical Methods for Special Functions
cites work: On the history of multivariate polynomial interpolation
cites work: A random integral quadrature method for numerical analysis of the second kind of Volterra integral equations
cites work: On global superconvergence of iterated collocation solutions to linear second-kind Volterra integral equations
cites work: An improved method based on Haar wavelets for numerical solution of nonlinear integral and integro-differential equations of first and higher orders
cites work: A New Collocation-Type Method for Hammerstein Integral Equations
cites work: Adomian's method for Hammerstein integral equations arising from chemical reactor theory
cites work: Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
DOI: 10.1007/S12190-016-1060-5
description: scientific article; zbMATH DE number 6859473