This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …

We consider one of the newest analytical methods, the Optimal Homotopy Asymptotic
Method (OHAM), to solve nonlinear equations arising in heat transfer. Two specific …

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 …

In this study, a novel application of neurocomputing technique is presented for solving
nonlinear heat transfer and natural convection porous fin problems arising in almost all …

This book presents and extend different known methods to solve different types of strong
nonlinearities encountered by engineering systems. A better knowledge of the classical …

Series solutions of the Lane–Emden equation based on either a Volterra integral equation
formulation or the expansion of the dependent variable in the original ordinary differential …

Perturbation–iteration theory is systematically generated for both linear and nonlinear
second-order differential equations and applied to Bratu-type equations. Different …

A variety of iterative methods for the solution of initial-and/or boundary-value problems in
ordinary and partial differential equations is presented. These iterative procedures provide …

This review is designed as a comprehensive source for differential type fluids, including its
fundamental structure, relationships and applications. The thermodynamics, stability and …

In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate
analytical solutions of the time-dependent Emden–Fowler type equations. We also present a …