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Uncertainties in aerosol radiative forcings, especially those associated with clouds, contribute to a large extent to uncertainties in the total anthropogenic forcing. The interaction of aerosols with...
We study black-hole binaries in the intermediate-mass-ratio regime 0.01 < q < 0.1 with a new technique that makes use of nonlinear numerical trajectories and efficient perturbative evolutions to compu...
In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order $\alpha$. Both exact and approximate explicit ...
Although the methods and techniques have been greatly improved since the late nineteenth century, the precision on the measurement of the gravitational constant G does not exceed 1 part in 1000. Intri...
We derived the second-order perturbations of the Einstein equations and the Klein-Gordon equation for a generic situation in terms of gauge-invariant variables. The consistency of all the equations is...
The current status of the recent developments of the second-order gauge-invariant cosmological perturbation theory is reviewed. To show the essence of this perturbation theory, we concentrate only on ...
In this paper we investigate the scalar mode of first-order metric perturbations over spatially flat FRW spacetime when the holonomy correction is taken into account in the semi-classical framework of...
We study the stability characteristic of the active disturbance rejection control for a nonlinear, time-varying plant. To this end, the closed-loop system is reformulated in a form that allows the sin...
In the present article, we use modified homotopy perturbation method (HPM) to find approximate analytical solution of three-dimensional time fractional microscale heat transport equation. This transpo...
In this work we consider the application of the Homotopy Perturbation Method (HPM) to compute the eigenvalues and the corresponding normalized eigenfunction of Sturm-Liouville problem. To illustrate t...
In this paper, we obtain the series solutions to three well known equations arising in different fields of science. We apply homotopy perturbation method (HPM) to Burgers equation, the regularized lon...
In this study, Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) are employed to approximate solutions of Ppainlev&acute;e equation I, with it’s initial conditions. VIM based o...
Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining Analytic solution...
A large earthquake of M6.6 occurred on 13 February 2001 at 14:22:05 UT in El Salvador. We detected ionospheric perturbation before this earthquake using GPS data received from CORS network. Systematic...
The Ornstein-Uhlenbeck process may be used to generate a noise signal with a finite correlation time. If a one-dimensional stochastic process is driven by such a noise source, it may be analysed by so...

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