New theoretical conditions for solving functional nonlinear equations by linearization then discretization

Author(s):

Ammar Khellaf* , Mohamed Zine Aissaoui

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we propose to solve nonlinear functional equations given in an infinite-dimensional Banach space by linearizing first and then discretizing the linear iterative equations. We establish new sufficient conditions which provide new criteria for dealing with convergence results. These conditions define a class of discretization schemes. Some numerical examples confirm the theoretical results by treating an integro-differential equation.

Keywords:

Nonlinear equation , Iterative methods , Convergence , Newton-Kantorovich method

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 1, Winter-Spring 2022
Pages:
2857 to 2869
https://www.magiran.com/p2380864