On some approximate methods for nonlinear models

TL;DR

This paper critically evaluates recent approximate methods for nonlinear models, arguing that the homotopy perturbation, Adomian decomposition, and variational iteration methods are ineffective for solving nonlinear problems.

Contribution

It provides a critical assessment demonstrating the ineffectiveness of popular recent approximate methods for nonlinear equations.

Findings

Recent methods are completely useless for nonlinear problems

The paper challenges the effectiveness of homotopy perturbation, Adomian decomposition, and variational iteration methods

Provides evidence against the practical use of these methods in nonlinear modeling

Abstract

We show that recent applications of the homotopy perturbation method the Adomian decomposition method and the variational iteration method are completely useless for the treatment of nonlinear problems.