This article reviews the Adomian decomposition method (ADM) and its developments to
handle singular and non-singular initial, boundary value problems in ordinary and partial …

The large-amplitude oscillation of a pendulum with spinning support was investigated using
a modified continuous piecewise linearization method (CPLM). In contrast to previous …

In this paper, a quasi-static quintication method for approximate periodic solution of strong
nonlinear oscillators was presented. The basic idea of the method is to replace the original …

In this article, we report for the first time the application of a novel and extremely valuable
methodology called the Rach–Adomian–Meyers decomposition method (MDM) to obtain …

This paper applies He's new amplitude–frequency relationship recently established by He
(Int J Appl Comput Math 3 (2): 1557–1560, 2017. doi: 10.1007/s40819-016-0160-0) to study …

The well-known relation of Einstein's relativistic energy E= mc 2 for a free particle is
extended to cover the total relativistic energy of a classical harmonic oscillator (CHO) by …

In dispersion management systems, the communication quality can be affected by soliton
interactions and oscillations. In this paper, the variable coefficient Kundu-Eckhaus equation …

This article proposes a general and efficient modification of Adomain decomposition method
(ADM) to obtain the general solutions for (n+ 1)-order nonlinear singular differential …

The well known relation of Einstein relativistic energy for a free particle is extended to cover
the total relativistic energy of a bound particle by calculating the relativistic potential energy …

This paper applies another amplitude-frequency relationship as of late established by Yazdi
and Tehrani (Alexandria Engineering Journal 54 99-103, 2015) to analyze periodical …