an attempt is made for the first time to solve the quadratic and cubic model of magneto hydrodynamic poiseuille flow of phan-thein-tanner (ptt). series solution of magneto hydrodynamic (mhd) flow is developed by using homotopy perturbation method (hpm). results are presented graphically and the effects of non-dimensional parameters on the flow field are analyzed. the results obtained reveals ma...

This paper deals with second-order sensitivity analysis of parameterized vector optimization problems. We prove that the Borwein efficient solution map and perturbation a parametric problem are radial-asymptotic proto-differentiable under some suitable qualification conditions. Some examples also given for illustrating obtained results.

the present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. the proposed scheme is based on laplace transform and new homotopy perturbation methods. the fractional derivatives are considered in caputo sense. to illustrate the ability and reliability of the method some examples are provided. the results ob...

Here, a new method called Aboodh transform homotopy perturbation method(ATHPM) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and Aboodh transformto investigate some nonlinear partial dierential equations. The nonlinearterms can be handled by the use of homotopy perturbation method. The resultsshow the eciency of this me...

in this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. iteration perturbation method leads us to high accurate solution. two different high nonlinear examples are also presented to show the application and accuracy of the presented method. the results are compared with analytical methods and with the numerical solution using runge-kutta m...

In this paper, higher-order sensitivity analysis in multiobjective optimization problem is considered. First, relations between higher-order contingent derivative, or their minima, of a set-valued map and its profile map are investigated. Then, properties of higher-order contingent derivatives of the perturbation maps of a parameterized optimization problem are obtained.

In this paper, a two timescale simultaneous perturbation stochastic approximation (SPSA) algorithm is developed and applied to closed loop rate based available bit rate (ABR) ow control. The relevant convergence results are stated and explained. Numerical experiments demonstrate fast convergence even in the presence of signiicant delays and a large number of parameterized policy levels.

in this paper, we consider the variational homotopy perturbation method (vhpm) to obtain an approximate series solution for the generalized fisher’s equation which converges to the exact solution in the region of convergence. comparisons are made among the variational iteration method (vim), the exact solutions and the proposed method. the results reveal that the proposed method is very effectiv...

in the most described maximum power point tracking (mppt) methods in the literatures, the optimal operation point of the photovoltaic (pv) systems is estimated by linear approximations. however, these approximations can lead to less optimal operating conditions and significantly reduce the performances of the pv systems. this paper proposes a new approach to determine the maximum power point (m...