In engineering, a fast estimation of the periodic property of a nonlinear oscillator is much
needed. This paper reviews some simplest methods for nonlinear oscillators, including He's …

A brief introduction to the development of the homotopy perturbation method is given, and
the main milestones are elucidated with more than 90 references. This paper further …

Electrospinning is a complex process, and it can be modeled by a Bratu-type equation with
fractal derivatives by taking into account the solvent evaporation. Though there are many …

The simplest approach to nonlinear oscillators Page 1 Journal Pre-Proof Microarticle The
simplest approach to nonlinear oscillators Ji-Huan He PII: S2211-3797(19)31897-2 DOI …

The semi-inverse method is adopted to establish a family of fractal variational principles of
the one-dimensional compressible flow under the microgravity condition, and Cauchy …

Taylor series solution for Lane–Emden equation Page 1 Journal of Mathematical Chemistry
(2019) 57:1932–1934 https://doi.org/10.1007/s10910-019-01048-7 ORIGINAL PAPER Taylor …

A modification of the homotopy perturbation method is suggested with three effective
expansions to solve a nonlinear oscillator with damping terms to expand the solution, the …

The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and
a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal …

A convection-diffusion equation for E reaction arising in rotating disk electrodes is discussed
and solved by Taylor series method and Pade approximation. A fractional modification is …

In this article, we solve nonlinear systems of third order KdV Equations and the systems of
coupled Burgers equations in one and two dimensions with the help of two different …