Browsing 01. Arab Journal of Basic and Applied Sciences by Subject "Homotopy perturbation method"

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A fractional model of Navier–Stokes equation arising in unsteady flow of a viscous fluid

Kumar, Devendra; Singh, Jagdev; Kumar, Sunil (2015)

In this paper, we present a reliable algorithm based on the new homotopy perturbation transform method (HPTM) to solve a time-fractional Navier–Stokes equation in a tube. The fractional derivative is considered in the ...
A modified analytical technique for Jeffery–Hamel flow using sumudu transform

Sushila; Singh, Jagdev; Shishodia, Y.S. (2014)

The main objective of this paper is to present a reliable approach to compute an approximate solution of Jeffery–Hamel flow by using the modified homotopy perturbation method coupled with sumudu transform. The method finds ...
Nonlinear dynamics of a particle on a rotating parabola via the analytic and semi-analytic approaches

Mirzabeigy, A.; Yazdi, M.K.; Yildirim, A. (2013)

In present study, nonlinear dynamics of a particle on a rotating parabola are analyzed by means of the analytic and semi-analytic approaches. The Energy balance method (EBM), homotopy perturbation method (HPM) and ...
Variational Iteration Method for the Solution of Seventh Order Boundary Value Problems using He’s Polynomials

Siddiqi, Shahid S.; Iftikhar, Muzammal (2015)

The induction motor behaviour is represented by a fifth order differential equation model. Addition of a torque correction factor to the model accurately reproduces the transient torques and instantaneous real and reactive ...

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