In this paper, a Laplace homotopy perturbation method is employed for solving one-
dimensional non-homogeneous partial differential equations with a variable coefficient. This …

In this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have
been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial …

A vast amount of published work can be found in the field of beam vibrations dealing with
analytical and numerical techniques. This paper deals with analysis of the nonlinear free …

In the present work the modified homotopy perturbation method (HPM), incorporating He's
polynomial into the HPM, combined with the Fourier transform, is used to solve the nonlinear …

New soliton solutions of the generalized Zakharov equations using He’s variational approach -
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The problem of heat transfer analysis is considered in electrically conducting thin film flows
with slip boundary conditions. The flow is assumed to be obeying the nonlinear rheological …

An approximate analytical solution has been established for the well known Richards'
equation for unsaturated flow of transports in soils. Despite the importance of Richards' …

In this paper, the temperature and velocity fields associated with the Falkner–Skan boundary-
layer problem have been studied. The nonlinear boundary-layer equations are solved …

We consider periodic solutions for nonlinear free vibration of conservative, coupled mass-
spring systems with linear and nonlinear stiffnesses. Two practical cases of these systems …

Although the deflection of beams has been studied for decades, the solutions were either
linearized (ie small deflection) or based on elliptic integrals or functions (large deflection) …