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

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 …

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 …

In this paper, a new homotopy perturbation method (NHPM) is introduced for obtaining
solutions of systems of non-linear partial differential equations. Theoretical considerations …

Geng and Cai suggested a modified He's frequency–amplitude formulation for nonlinear
oscillators (Geng and Cai 2007 Eur. J. Phys. 28 923–31). We point out the accuracy of both …

This paper examines the peristaltic flow of Williamson nanofluid in an annulus in the
presence of induced magnetic field. Present problem is determined under the molds of long …

In this work, the fractional novel analytic method (FNAM) is successfully implemented on
some well-known, strongly nonlinear fractional partial differential equations (NFPDEs), and …

This paper investigates the features of applied magnetic field and entropy generation on
Jeffrey nanofluid in between an annular part of two micro non-concentric pipes with the inner …

Based on an ancient Chinese algorithm, JH He suggested a simple but effective method to
find the frequency of a nonlinear oscillator. In this paper, a modified version is suggested to …

In the present paper the natural frequencies of fluid-conveying pipes with pinned–pinned
boundary condition are derived explicitly in a systematical and straightforward way with the …