A Product Integration type Method for solving Nonlinear Integral Equations in L

L Grammont (1) , H Kaboul (1) , M Ahues (1)

1 MMCS - Modélisation mathématique, calcul scientifique

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). As numerical method, we extend the product integration scheme from C 0 ([a, b], C) to L 1 ([a, b], C).

Mots clés: Fredholm integral equation; product integration method; nonlinear equation

Domaines: Analyse numérique [math.NA]

L Grammont, H Kaboul, M Ahues. A Product Integration type Method for solving Nonlinear Integral Equations in L. 2016. ⟨hal-01269822⟩