On the Convergence of the Variational Iteration Method
Ernest Scheiber

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.
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Taxonomy
TopicsFractional Differential Equations Solutions · Numerical methods for differential equations · Contact Mechanics and Variational Inequalities
