On the Convergence of the Variational Iteration Method

TL;DR

This paper establishes convergence results for the variational iteration method when applied to initial value problems in ordinary differential equations, providing theoretical guarantees for the method's effectiveness.

Contribution

It presents new convergence results specifically for the variational iteration method in solving systems of ODEs, enhancing understanding of its reliability.

Findings

Convergence is proven under certain conditions.

The method reliably approximates solutions.

Theoretical bounds on convergence rate.

Abstract

Convergence results are stated for the variational iteration method applied to solve an initial value problem for a system of ordinary differential equations.