Degenerate kernel approximation method for solving Hammerstein system of Fredholm integral equations of the second kind

Document Type : Research Article

Authors

Faculty of Sciences, Persian Gulf University, Bushehr, Iran

Abstract

Degenerate kernel approximation method is generalized to solve Hammerstein system of Fredholm integral equations of the second kind. This method approximates the system of integral equations by constructing degenerate kernel approximations and then the problem is reduced to the solution of a system of algebraic equations. Convergence analysis is investigated and on some test problems, the proposed method is examined.

Keywords