In this paper, a novel and simple approach called the variational direct method (VDM) is
applied to construct the exact traveling wave solutions of the system of ion sound and …

This paper points out that the so called enhanced variational iteration method (Colantoni &
Boubaker, 2014) for a nonlinear equation arising in electrospinning and vibration …

Abstract Using the Variational Iteration Method (VIM) the 3D static deflection problem of
composite beams subject to concentrated tip and uniformly distributed loads is analysed …

This work presents the application of the differential transform method (DTM) to the model of
pollution for a system of three lakes interconnected by channels. Three input models …

In this work, we propose to approximate the Gaussian integral, the error function and the
cumulative distribution function by using the power series extender method (PSEM). The …

This work presents the application of the reduced differential transform method (RDTM) to
find solutions of partial differential‐algebraic equations (PDAEs). Two systems of index‐two …

This work presents a direct procedure to apply Padé method to find approximate solutions
for nonlinear differential equations. Moreover, we present some cases study showing the …

In this article, we propose the application of a modified Taylor series method (MTSM) for the
approximation of nonlinear problems described on finite intervals. The issue of Taylor series …

This work presents the application of the power series method (PSM) to find solutions of
partial differential-algebraic equations (PDAEs). Two systems of index-one and index-three …

Recently, an approximation technique was presented for solving strong nonlinear oscillators
modeled by second-order differential equations. Due to the arising of an algebraic …