This paper features a survey of some recent developments in asymptotic techniques, which
are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the …

This review is an elementary introduction to the concepts of the recently developed
asymptotic methods and new developments. Particular attention is paid throughout the …

Variational iteration method has been favourably applied to various kinds of nonlinear
problems. The main property of the method is in its flexibility and ability to solve nonlinear …

The present work constitutes a guided tour through the mathematics needed for a proper
understanding of homotopy perturbation method as applied to various nonlinear problems. It …

In this paper, a modification of He's homotopy perturbation method is presented. The new
modification extends the application of the method to solve nonlinear differential equations …

The Adomian decomposition method is widely used in approximate calculation. The main
difficulty of the method is to calculate Adomian polynomials, the procedure is very complex …

The homotopy perturbation method is extremely accessible to non-mathematicians and
engineers. The method decomposes a complex problem under study into a series of simple …

A new approximate analytical technique to address for non-linear problems, namely Optimal
Homotopy Asymptotic Method (OHAM) is proposed and has been applied to thin film flow of …

The Adomian method is widely used in approximate calculation, its main demerit is that it is
very difficult and complex to calculate Adomian's polynomials. This paper introduces the …

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