We have solved the Schrödinger equation with HPM method and SBA method. noticed that these two methods we find same result.

In this paper, homotopy perturbation and modified Lindstedt-Poincare methods are employed for nonlinear free vibrational analysis of simply supported and double-clamped beams subjected to axial loads. Mid-plane stretching effect has also been accounted in the model. Galerkin's decomposition technique is implemented to convert the dimensionless equation of the motion to nonlinear ordinary differ...

We explored the prospect of looking for a fermiophobic charged Higgs ($\hpm$) via same sign trilepton signal at LHC. A scenario appears in type-I two doublet model where coupling $\hpm$ with Standard Model fermions is inversely proportional to $\tb$. Almost all experimental searches rely on fermionic production and decay Higgs. Consequently, limit scenarios non-existent unless $\tb$ small. show...

This paper presents a study of dynamic permeability of porous media combining homogenization of periodic media (HPM) and the self-consistent method (SCM). By taking advantage of the physical principles identified with HPM, the application of SCM leads to the determination of two physically admissible dynamic permeability assessments, both different from that given by the cell model. A compariso...

In this work, the homotopy perturbation method is developed and formulated to find an approximate-analytical solution of fuzzy initial value problems involving a nonlinear first order ordinary differential equation. HPM allows for the solution of FIVPs to be calculated in the form of an infinite series in which the components can be easily computed. An efficient algorithm is proposed of HPM on ...

The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations. Therefore, this work presents a rational version of homotopy perturbation method RHPM as a novel tool with high potential to find approximate solutions for nonlinear differential equations. We present two case studies; for the first exa...

solitons are ubiquitous and exist in almost every area from sky to bottom. for solitons to appear, the relevant equation of motion must be nonlinear. in the present study, we deal with the korteweg-devries (kdv), modi ed korteweg-de vries (mkdv) and regularised longwave (rlw) equations using homotopy perturbation method (hpm). the algorithm makes use of the hpm to determine the initial expansio...

In this paper, the problem of forced convection over a horizontal flat plate under condition of variable plate temperature is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. This paper provides good supplements to the existing literature and generalizes the previ...