2 papers
math.NA2016
An improvement of the product integration method for a weakly singular Hammerstein equation
Laurence Grammont, Hanane Kaboul
We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the d…
math.NA2016
A Product Integration type Method for solving Nonlinear Integral Equations in L
L. Grammont, H. Kaboul, M. Ahues
This paper deals with nonlinear Fredholm integral equations of the second kind. We study the case of a weakly singular kernel and we set the problem in the space L 1 ([a, b], C). A…