Open AccessA comparison of Numerical Solutions for Linear Fredholm Integral Equation of the Second Kind
Author(s) -
Jalil Talab Abdullah,
Ali Hussein Shuaa Al-Taie
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1279/1/012067
Subject(s) - mathematics , fredholm integral equation , numerical analysis , integral equation , matrix (chemical analysis) , mathematical analysis , representation (politics) , approximation error , resolution (logic) , exact solutions in general relativity , fredholm theory , computer science , materials science , artificial intelligence , politics , political science , law , composite material
The aim of this paper, we offereda new numerical methodwhich is Touchard Polynomials (T-Ps) for solving Linear Fredholm Integral Equation of the Second Kind (LFIE2-K), to find approximating Numerical Solution (N-S). At the beginning, we demonstrate (T-Ps) andconstruct the operational matrix which is a matrix representation for solution. The algorithm and someexamples are given; comparing the numerical results of proposed method with the numerical results of the other numerical method which is Bernstein Polynomials (B-Ps).Wewill show the high resolution of results by proposed method.The comparison between the Exact Solution(E-S) and the results of two methods are given by calculating absolute value of error and the Least Square Error (L.S.E).The results are calculated in Matlabcode.