In this paper, a reliable approach is introduced to approximate periodic solutions of a system of coupled integrable dispersionless. The system is firstly, transformed into an ordinary differential equation by wave transformation. The solution of ODE is obtained by the homotopy perturbation method. To show the periodic behavior of the solution, a modification based on the Laplace transforms and...

In this paper, the MagnetoHydroDynamic (MHD) boundary layer flow over a nonlinear porous stretching sheet is investigated by employing the Homotopy Perturbation Transform Method (HPTM) and the Pade´ approximation. The numerical solution of the governing non-linear problem is developed. Comparison of the present solution is made with the existing solution and excellent agreement is noted. Gr...

The aim of the present study is to examine the steady flow of an incompressible conducting viscous fluid in convergent-divergent channels under the effect of an external homogeneous magnetic field. The non-dimensional governing equation for the considered flow field is solved in a power series to examine the instability of the problem using Hermite-Pade ́ approximation technique computed numeri...

A fourth-order accurate embedded boundary method for the scalar wave equation with Dirichlet or Neumann boundary conditions is described. The method is based on a compact Pade-type discretization of spatial derivatives together with a Taylor series method (modified equation) in time. A novel approach for enforcing boundary conditions is introduced which uses interior boundary points instead of ...

In this paper, we have proposed a new iterative method for finding the solution of ordinary differential equations of the first order. In this method we have extended the idea of variational iteration method by changing the general Lagrange multiplier which is defined in the context of the variational iteration method.This causes the convergent rate of the method increased compared with the var...

We handle divergent {\epsilon} expansions in different universality classes derived from modified Landau-Wilson Hamiltonian. Hamiltonian can cater for describing critical phenomena on a wide range of physical systems which differ symmetry conditions and the associated class. Numerically parameters are most interesting quantities characterize singular behaviour around point. More precise estimat...

Abstract To cope with individualization and the high costs of downtimes, modern production systems should be flexible, adaptable, resilient. Multi-Agent Systems are suitable to address these requirements by decentralizing systems. However, agent paradigm is still not widely applied. One key reasons that agents’ knowledge bases had created manually, which cumbersome, error-prone, insufficiently ...

With the emerging possibility to obtain emissions of triples GHZ-entangled photons via a direct parametric generation we study here bright this kind which involve higher order two triples, three etc. Such states would constitute natural generalization four mode (two beams plus polarization) squeezed vacuum. We have beam process emission generalized GHZ states, are superpositions one, two, three...

We present a new method based on unification of fictitious time integration (FTI) and group preserving (GP) methods. The GP is applied in numerically discretized ordinary differential equations obtained from application FTI to given partial equation (PDE). algorithm hyperbolic telegraph utilizes the Cayley transformation Pade approximations Minkowski space. It avoid...