Approximate solutions of linear Fredholm integral equations system with variable coefficients
type: Item
instance of: scholarly article
title: Approximate solutions of linear Fredholm integral equations system with variable coefficients
zbMATH Open document ID: 1396.65167
published in: Mathematical \& Computational Applications
publication date: 2018-07-05T00:00:00Z
review text: Summary: In this paper, a new approximate method has been presented to solve the linear Fredholm integral equations system (FIEs). The technique is based on, first, differentiating both sides of integral equations \(n\) times and then substituting the Taylor series the unknown functions in the resulting equation and later, transforming to a matrix equation. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Also, this method gives the analytic solution when the exact solutions are polynomials. So as to Show this capability and robustness, some systems of FIEs are solved by the presented method in order to obtain their approximate solutions.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45A05
zbMATH DE Number: 6898820
zbMATH Keywords: Taylor polynomials and series
zbMATH Keywords: system of integral equations
zbMATH Keywords: Fredholm systems
author: Salih Yalçınbaş
MaRDI profile type: Publication
full work available at URL: mca18010019
OpenAlex ID: W2418654588
DOI: 10.3390/MCA18010019
description: scientific article; zbMATH DE number 6898820