In this work, the newly developed optimal perturbation iteration technique with Laplace
transform is applied to the generalized regularized long wave equations with a new …

In this paper, we examine a cubic isothermal auto-catalytic chemical system (CIACS) with
the help of the newly developed technique. Classical model of this system is transformed …

In this paper, the classical collocation method has been revisited and modified by using the
Chebyshev polynomials for solving nonlinear differential equations. Linear and nonlinear …

The newly constructed optimal perturbation iteration procedure with Laplace transform is
applied to obtain the new approximate semi-analytical solutions of the fractional type of …

The nonlinear regularized-long-wave (RLW) and the Riemann wave (RW) models are
physically significant in plasma physics and in further study of nonlinear dispersive waves …

Purpose This paper aims to design new finite difference schemes for the Lane–Emden type
equations. In particular, the authors show that the schemes are stable with respect to the …

In this research paper, a different semi-analytical analysis of modified
magnetohydrodynamic Jeffery–Hamel flow is conducted via the newly developed technique …

Ebola virus disease is a fatal hemorrhagic fever of humans and primates caused by viruses.
There are many mathematical models to investigate this viral disease. In this paper, the …

In this paper, a new analysis of nonlinear modified Boussinesq-Burger equation is revisited
via optimal perturbation iteration technique. We first consider artificial parameters and …

In this work, the optimal perturbation iteration method is briefly presented and employed for
solving nonlinear Volterra‐Fredholm integral equations. The classical form of the optimal …