Abstract The Newton–Kantorovich method (NKM) is widely used to find approximate
solutions for nonlinear problems that occur in many fields of applied mathematics. This …

An efficient approximate method for solving Fredholm-Volterra integral equations of the third
kind is presented. As a basis functions truncated Legendre series is used for unknown …

In this note, we consider a general 2× 2 system of nonlinear Volterra type integral equations.
The modified Newton method (modified NM) is used to reduce the nonlinear problems into …

We develop the Newton‐Kantorovich method to solve the system of 2× 2 nonlinear Volterra
integral equations where the unknown function is in logarithmic form. A new majorant …

In this paper, we propose the meshless finite point method for solving a type of fluid flow
problem. The moving least square function is combined with the collocation method to treat …

Abstarct The Modified Newton method (MNM) is applied to obtain the approximate solution
to the system of nonlinear Volterra type integral equation with the trigonometric kernel …

We develop the Newton-Kantorovich method to solve the system of 2× 2 nonlinear Volterra
integral equations where the unknown function is in logarithmic form. A new majorant …

The problems of nonlinear Volterra integral equations (VIEs) which consist of one
dimensional nonlinear VIE, system of 2× 2 nonlinear VIEs, system of n× n nonlinear VIEs …

La méthode de Newton est une méthode numérique couramment utilisée pour approcher
les solutions d'une équation ou d'un système d'équations. Le but a été de formaliser le …