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...

This paper deals with a class of chemical process with measurable time-varying disturbances, which is modeled within the framework of singular perturbation in non-standard form. The results in singular perturbation theory consider the systems in a standard form, therefore, a transformation to change a system representation from non-standard to standard form should be found. After this transform...

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, 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...

A rigorous theoretical investigation has been made on the nonlinear propagation of dust-ion-acoustic shock waves in a multi-component magnetized pair-ion plasma (PIP) having inertial warm positive and negative ions, inertialess non-thermal electrons positrons, static negatively charged massive dust grains. The Burgers’ equation is derived by employing reductive perturbation method. model suppor...

A theoretical investigation has been carried out on the propagation of non-linear ion-acoustic shock waves (IASHWs) in a magnetized degenerate quantum plasma system composed inertial non-relativistic positively charged light and heavy ions, inertialess non-relativistically or ultra-relativistically electrons positrons. The reductive perturbation method employed to derive Burgers' equation. It o...