American Research Journal of Mathematics           cover
Open Access

American Research Journal of Mathematics

ISSN (Online): 2378-704X

DOI: 10.46568/arjm

Research Article Vol. 1, Issue 1 2019 Open Access

Approximation Solution of Linear Fredholm-Stieltjes Integral Equations of Second Kind Using Generalized Simpson’s Quadrature Method

Isa Muslu1
 AvytAsanov2
SedatYanik3

1 Bishkek (Kyrgyzstan)
2 Bishkek (Kyrgyzstan), 
3 Bishkek (Kyrgyzstan)

Abstract
TheLinear Fredholm-Stieltjes Integral Equation of the Second Kind (LFSIESK) is of wide spread use 
in many fields of engineering and applied mathematics. The quadrature methods are remarkable among the 
variety of numerical solutions to this equation.The aim of this paper is to find an approximation solution of the 
LFSIESK using the quadrature method the Generalized Simpson’s Method (GSM). Numerical example is 
presented at the end to show the efficiency and accuracy of the presented work. The software Maple 18 is used 
for the computations