Open AccessOrthogonal Basis to Solve Linear Fredholm Integral Equations via Galerkin Method
Author(s) -
Ahmed Flayih Jaber,
Adil AL-Rammahi
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/928/4/042016
Subject(s) - galerkin method , fredholm integral equation , fredholm theory , mathematics , integral equation , chebyshev polynomials , basis (linear algebra) , chebyshev filter , interval (graph theory) , chebyshev iteration , basis function , mathematical analysis , finite element method , geometry , combinatorics , physics , thermodynamics
in this paper, the approximate solution of linear Fredholm integral equations of the second type on a closed interval is studied. The Galerkin method enhanced with Chebyshev polynomials was used to improve the approximate solution of our study, the related linear system was solved by the Boole’s numerical integrated rule. for testing the efficiency of the proposed method, the comparison with related updated methods was executed.