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...

This article presents a new iterative method (NIM) for the investigation of approximate solution Klein-Gordon and sine-Gordon equations. approach is formulated on combination Mohand transform homotopy perturbation method. (MT) capable to handle linear terms only, thus we introduce (HPM) tackle nonlinear terms. NIM derives results in form series solution. The proposed emphasizes stability derive...

The aim of this study is the investigation of the large amplitude deflection of an Euler-Bernoulli beam subjected to an axial load on a viscoelastic foundation with the strong damping. In order to achieve this purpose, the beam nonlinear frequency has been calculated by homotopy perturbation method (HPM) and Hamilton Approach (HA) and it was compared by the exact solutions for the different bou...

In this paper, we present a novel yet simple homotopy proximal mapping algorithm for compressive sensing. The algorithm adopts a simple proximal mapping for l1 norm regularization at each iteration and gradually reduces the regularization parameter of the l1 norm. We prove a global linear convergence for the proposed homotopy proximal mapping (HPM) algorithm for solving compressive sensing unde...

In this paper, we present a novel yet simple homotopy proximal mapping algorithm for compressive sensing. The algorithm adopts a simple proximal mapping of the l1 norm at each iteration and gradually reduces the regularization parameter for the l1 norm. We prove a global linear convergence of the proposed homotopy proximal mapping (HPM) algorithm for solving compressive sensing under three diff...

Abstract To suppress the nonlinearity of an excited Van der Pol–Duffing oscillator (VdPD), time-delayed position and velocity are used throughout this study. The time delay is supplemental to prevent nonlinear vibration considered system. topic work extremely current because technologies with a have been subject several studies in latest days. classical homotopy perturbation method (HPM) utiliz...

This article presents an idea of a new approach for the solitary wave solution modified Degasperis–Procesi (mDP) and Camassa–Holm (mCH) models with time-fractional derivative. We combine Laplace transform (LT) homotopy perturbation method (HPM) to formulate (LHPTM). study is considered under Caputo sense. proposed strategy does not depend on any assumption restriction variables, such as in clas...

In this article, the main objective is to employ homotopy perturbation method (HPM) as an alternative classical methods for solving nonlinear equations having periodic coefficients. As a simple example, damping Mathieu equation has been investigated. investigation, two solvability conditions are imposed. One of them was imposed in first-order and used study stability behavior at resonance non-r...

Although perturbation techniques are widely applied to analyze nonlinear problems in science and engineering, they are however so strongly dependent on small parameters appeared in equations under consideration that they are restricted only to weakly nonlinear problems. For strongly nonlinear problems which don’t contain any small parameters, perturbation techniques are invalid. So, it seems ne...