This paper presents the approximate solution of nonlinear acoustic wave propagation model is known as modified Camassa–Holm (mCH) equation with Caputo fractional derivative. We examine this study utilizing Laplace transform ( ℒ T) coupled homotopy perturbation method (HPM) to construct strategy id="M...

This paper presents a new approach for finding analytic solutions to the Belousov–Zhabotinsky system by combining Adomian decomposition method (ADM) and homotopy perturbation (HPM) with Elzaki transform. The ADM HPM are both powerful techniques solving nonlinear differential equations, their combination allows more efficient accurate solution. transform, on other hand, is mathematical tool that...

The solution of the complex neutron diffusion equations system in a spherical nuclear reactor is presented using homotopy perturbation method (HPM); HPM remarkable approximation that successfully solves different systems equations, and this work, solved for first time method. considered consists two consistent subsystems, where studies multi-group subsystem core, other reflector; each can deal ...

in this paper, the homotopy perturbation method (hpm) is applied to obtain an approximate solution of the fractional bratu-type equations. the convergence of the method is also studied. the fractional derivatives are described in the modied riemann-liouville sense. the results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional...

In this paper, a Laplace Homotopy perturbation method is employed for solving onedimensional non-homogeneous partial differential equation with a variable coefficient. This method is a combination of the Laplace transform and Homotopy Perturbation Method (LHPM). LHPM presents an accurate methodology to solve non-homogeneous partial differential equation with variable coefficient. The aim of usi...

The equations governing the flow of an electrically conducting, incompressible viscous fluid over an infinite flat plate in the presence of a magnetic field are investigated using the homotopy perturbation method (HPM) with Padé approximants (PA) and 4 order Runge–Kutta method (4RKM). Approximate analytical and numerical solutions for the velocity field and heat transfer are obtained and compar...

In this article, we present some approximate analytical solutions to the general perturbed KdV-Burgers equation with nonlinear terms of any order by applying the homotopy analysis method (HAM). While compared with the Adomain decomposition method (ADM) and the homotopy perturbation method (HPM), the HAM contains the auxiliary convergence-control parameter ~ and the control function H(x, t), whi...

A solution of the governing equation representing drawdown in a horizontal confined aquifer, where groundwater flow is unsteady, was first provided by Theis and famously known as solution. This given terms an exponential integral, also called well function, for which simple reliable approximations are preferred due to their practical applications. To that end, several available literature, some...

in this paper, we investigate the application of the homotopy perturbation method (hpm) for solving a one-dimensional nonlinear inverse heat conduction problem. in this problem the thermal conductivity term is a linear function with respect to unknown heat temperature in bounded interval. furthermore, the temperature histories are unknown at the end point of the interval. this problem is ill-po...

Some recently developed analytical methods namely; homotopy analysis method, homotopy perturbation method and modified homotopy perturbation method are applied successfully for solving strongly nonlinear oscillators. The analytical results obtained by using HAM are compared with those of HPM, mHPM as well as with numerical results. In this study, different examples with strong nonlinearity are ...