Analytic Comparison of MHD Squeezing Flow in Porous Medium with Slip Condition
Corresponding Author
Inayat Ullah
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan nu.edu.pk
Search for more papers by this authorM. T. Rahim
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan nu.edu.pk
Search for more papers by this authorHamid Khan
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan nu.edu.pk
Search for more papers by this authorMubashir Qayyum
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan nu.edu.pk
Search for more papers by this authorCorresponding Author
Inayat Ullah
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan nu.edu.pk
Search for more papers by this authorM. T. Rahim
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan nu.edu.pk
Search for more papers by this authorHamid Khan
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan nu.edu.pk
Search for more papers by this authorMubashir Qayyum
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan nu.edu.pk
Search for more papers by this authorAbstract
The aim of this paper is to compare the efficiency of various techniques for squeezing flow of an incompressible viscous fluid in a porous medium under the influence of a uniform magnetic field squeezed between two large parallel plates having slip boundary. Fourth-order nonlinear ordinary differential equation is obtained by transforming the Navier-Stokes equations. Resulting boundary value problem is solved using Differential Transform Method (DTM), Daftardar Jafari Method (DJM), Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), and Optimal Homotopy Asymptotic Method (OHAM). The problem is also solved numerically using Mathematica solver NDSolve. The residuals of the problem are used to compare and analyze the efficiency and consistency of the abovementioned schemes.
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