Legendre spectral Galerkin and multi-Galerkin methods for nonlinear Volterra integral equations of Hammerstein type
type: Item
instance of: scholarly article
title: Legendre spectral Galerkin and multi-Galerkin methods for nonlinear Volterra integral equations of Hammerstein type
zbMATH Open document ID: 1456.65186
author: Moumita Mandal
author: Gnaneshwar Nelakanti
published in: The Journal of Analysis
publication date: 2020-07-14T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 7220221
zbMATH Keywords: Volterra-Hammerstein integral equations
zbMATH Keywords: smooth kernels
zbMATH Keywords: Legendre polynomial
zbMATH Keywords: Galerkin method
zbMATH Keywords: multi-Galerkin method
zbMATH Keywords: superconvergence rates
MaRDI profile type: Publication
full work available at URL: s41478-019-00170-8
OpenAlex ID: W2937291545
cites work: Implicitly linear collocation methods for nonlinear Volterra equations
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Q3750978
cites work: The application of integral equation methods to the numerical solution of some exterior boundary-value problems
cites work: Spectral Methods
cites work: A fast multiscale solver for modified Hammerstein equations
cites work: Error analysis of polynomial-based multi-projection methods for a class of nonlinear Fredholm integral equations
cites work: Legendre spectral projection methods for Fredholm-Hammerstein integral equations
cites work: Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations
cites work: Spectral Methods and Their Applications
cites work: Numerical computation of the tau approximation for the Volterra-Hammerstein integral equations
cites work: Q4255464
cites work: Superconvergence of a Collocation-type Method for Hummerstein Equations
cites work: A New Collocation-Type Method for Hammerstein Integral Equations
cites work: Spectral computations for bounded operators
cites work: Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
cites work: Application of fixed point method for solving nonlinear Volterra-Hammerstein integral equation
cites work: Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations
cites work: Superconvergence Results for Volterra-Urysohn Integral Equations of Second Kind
cites work: Q5319785
cites work: Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
cites work: Legendre spectral Galerkin method for second-kind Volterra integral equations
cites work: Application of the boundary integral equation method to Reissner's plate model
Wikidata QID: Q128038655
DOI: 10.1007/S41478-019-00170-8
description: scientific article; zbMATH DE number 7220221