Moderate and high microfluidization pressures (60 and 120 MPa) and different treatment times (once and twice) were used to investigate the effect of high-pressure microfluidization (HPM) treatment on the crystallization behavior and physical properties of binary mixtures of palm stearin (PS) and palm olein (PO). The polarized light microscopy (PLM), texture analyzer, X-ray diffraction (XRD) and...

In this work, a powerful analytical method called homotopy perturbation method (HPM) is used to obtain the series solution for nonlinear problems in classic dynamics. The governing equations are obtained using the Lagrange method and solved analytically by HPM. The present solution gives an expression which is valid for the whole domain of the solution. Comparisons of the obtained solutions wit...

In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several exam...

This article proposes Laplace Transform Homotopy Perturbation Method (LT-HPM) to find an approximate solution for the problem of an axisymmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore LT-HPM is extremely efficient.

In this paper, we apply the homotopy perturbation method (HPM) for solving the Cauchy problems of the first-order partial differential equation. We obtain the exact solutions to the homogeneous or inhomogeneous linear and nonlinear equations. Numerical results are presented to confirm the efficiency of the HPM. Mathematics Subject Classification: 35K15, 35C05, 65D99, 65M99

We implement the hydro-PM (HPM) technique (Gnedin & Hui 1998) in the hydrodynamical simulation code GADGET-2 and quantify the differences between this approximate method and full hydrodynamical simulations of the Lyman-α forest in a concordance ΛCDM model. At redshifts z = 3 and z = 4, the differences between the gas and dark matter (DM) distributions, as measured by the one-point distribution ...

A novel 12-molybdophosphoric acid (HPM)-based complex (H2PI)2(H3O)[PMo12O40] [Mo2O5(H2O)2(PI)2]·11H2O (PI-HPM) was prepared by modification with picolinic acid (HPI) and characterized by the methods of Fourier transform infrared (FTIR) spectroscopy, thermogravimetry (TG), X-ray powder and single crystal diffraction. The complex retained the classical Keggin structure of bulk HPM, there were som...

in this work, the blasius equation is studied. homotopy perturbation method (hpm) and homotopy analysis method (ham) are applied to obtain its solution. comparison with variational iteration method (vim) is made to highlight the significant features of employed methods and their capability of handling nonlinear problems. the outcome shows the success of (hpm) and (ham) for solving nonlinear pro...

This paper presents an effective adaptation of an existing speaking rate-dependent hierarchical prosodic model (SRHPM) for Mandarin to construct the SR-HPM for Hakka, another Chinese dialect. Based on the cross-dialectal linguistic similarities in terms of syntactic and prosodic structures, the adaptation is formulated as a maximum a posteriori estimation (MAP) problem with the existing Mandari...

In this paper, we present homotopy perturbation method (HPM) for solving the Korteweg-de Vries (KdV) equation and convergence study of homotopy perturbation method for nonlinear partial differential equation. We compared our solution with the exact solution and homotopy analysis method (HAM). The results show that the HPM is an appropriate method for solving nonlinear equation.