Utilizing feed-back neural network approach for solving linear Fredholm integral equations system
type: Item
instance of: scholarly article
title: Utilizing feed-back neural network approach for solving linear Fredholm integral equations system
zbMATH Open document ID: 1426.65214
author: S. Measoomy Nia
author: A. Jafarian
published in: Applied Mathematical Modelling
publication date: 2018-08-30T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45A05
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 6929762
zbMATH Keywords: Fredholm integral equation systems
zbMATH Keywords: feed-back neural networks (FNN)
zbMATH Keywords: cost function
zbMATH Keywords: approximate solution
zbMATH Keywords: learning algorithm
MaRDI profile type: Publication
full work available at URL: j.apm.2012.09.029
OpenAlex ID: W2061722333
cites work: A Taylor expansion approach for solving integral equations
cites work: The approximate solution of high-order linear difference equations with variable coefficients in terms of Taylor polynomials
cites work: Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method
cites work: Q3150372
cites work: Taylor polynomial solutions of Volterra integral equations
cites work: A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials
cites work: A new polynomial approach for solving difference and Fredholm integro-difference equations with mixed argument
cites work: Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
cites work: The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
cites work: Variational iteration method for solving integral equations
cites work: Application of He's homotopy perturbation method to Volterra's integro-differential equation
cites work: Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method
cites work: Easy computations to solution of linear Fredholm integral equations
cites work: On the homotopy analysis method for nonlinear problems.
cites work: Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
cites work: Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations
cites work: Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
cites work: A perspective on the numerical treatment of Volterra equations
cites work: Global Asymptotic Stability for a Stationary Solution of a System of Integro-Differential Equations Describing the Formation of Liver Zones
cites work: Solving linear integro-differential equations system by using rationalized Haar functions method
cites work: Solving linear integro-differential equation system by Galerkin methods with hybrid functions
cites work: Numerical solution of integral equations system of the second kind by block-pulse functions
cites work: Numerical solution of linear Volterra integral equations system of the second kind
cites work: Q4040933
DOI: 10.1016/J.APM.2012.09.029
description: scientific article; zbMATH DE number 6929762