In this investigation, the fractional Fornberg–Whitham equation (FFWE) is solved and analyzed via variational iteration method (VIM) Adomian decomposition (ADM) with help of Aboodh transformation (AT). The FFWE an important model for describing several nonlinear wave propagations in various fields science plasma physics. AT provides a powerful tool transforming fractional-order differential equ...

In this article, the heat transfer characteristics of natural convection about a vertical permeable flat surface embedded in a saturated porous medium are studied by taking into account the thermal radiation effect. The plate is assumed to have a power-law temperature distribution. Similarity variables are employed in order to transform the governing partial differential equations into a nonlin...

In this paper, we apply two modified versions of variational iteration method (VIM) to solve singular fourth-order parabolic partial differential equations. The proposed modifications are made by introducing the He’s polynomials and Adomian’s polynomials in the correction functional of VIM. The developed algorithms are quite efficient and are practically well suited for use in these problems. T...

In this paper, we apply He’s variational iteration method (VIM) coupled with an auxiliary parameter which proves very effective to control the convergence region of an approximate solution. Moreover, a convenient way is considered for choosing a suitable auxiliary parameter via a residual function. The proposed algorithm is tested on some nonlinear age-structured population models, and numerica...

A mathematical model of the transport material through a membrane of finite thickness via the process of diffusion has been developed. We may consider a membrane in between a donor and a receptor compartment. the cause of an externally applied electric field and concurrent first-order chemical reaction of the diffusion species with sites in the membrane on the diffusion state is examined via th...

This study proposes and explores a prey–predator model that presents functional response to group behavior of harvesting. We non-linear growths in two species. The proposed is supported by theoretical numerical results. Some descriptions are provided help our analytical conclusions. For all possible parameter values occurring system, we solved it using both VIM (variational iteration method) HP...

variational iteration method using he's polynomials can be used to construct solitary solution and  compacton-like solution for nonlinear dispersive equatioons. the chosen initial solution can be determined in compacton-like form or in solitary form with some compacton-like or solitary forms with some unknown parameters, which can be determined in the solution procedure. the compacton-like solu...

in this paper, he‘s variational iteration method is applied to fredholm integral equations of the second kind. to illustrate the ability and simplicity of the method, some examples are provided. the results reveal that the proposed method is very effective and simple and for first fourth examples leads to the exact solution.

There are various linear and nonlinear one-dimensional partial differential equations that the focus of this research. a large number these cannot be solved analytically or precisely. The evaluation equations, even if analytical solutions exist, may problematic. Therefore, it necessary to use approximate methodologies solve issues. As result, more effective accurate approach must investigated a...