Comparison of Some Methods for the Solution of Linear Fredholm Integral Equations of the Second Kind

Zahid Rahman Zahid, Mohammad Farooq Hakimi

Abstract: This paper concern study of some solution technics for the explanation of linear Fredholm integral equations. In this research paper our aim is to compare some new and traditional method that are using for solution of linear Fredholm integral equations. Our essential goal in this paper is to investigate the advantage of each method for solution and solution process of a linear Fredholm integral equation. This research article will focus on Fredholm determinant method, Adomian decomposition method, Modified decomposition method, successive approximation method and direct computational method. Finally, we want to apply this method on a problem and compare the result of the research.

Keywords: Fredholm integral equations, Fredholm determinant, Fredholm minor, Fredholm resolvent kernel