Study of a third grade non-Newtonian fluid flow between two parallel plates using the multi-step differential transform method

Authors:
M. Keimanesh;M. M. Rashidi;Ali J. Chamkha;R. Jafari
Affiliations:
Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran;Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran;Kuwait University, P.O. Box 5969, Safat 13060, Kuwait;Department of Computer Science, University of Sherbrooke, Quebec, Canada J1K 2R1
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 5
Cited 2

Runge-Kutta methods for linear ordinary differential equations

Applied Numerical Mathematics
A multi-step differential transform method and application to non-chaotic or chaotic systems

Computers & Mathematics with Applications
He's variational iteration method for treating nonlinear singular boundary value problems

Computers & Mathematics with Applications
Convergence of the variational iteration method for solving multi-order fractional differential equations

Computers & Mathematics with Applications
A new analytic solution for fractional chaotic dynamical systems using the differential transform method

Computers & Mathematics with Applications

Hall current and MHD effects on heat transfer over an unsteady stretching permeable surface with thermal radiation

Computers & Mathematics with Applications
Computer simulation of MHD blood conveying gold nanoparticles as a third grade non-Newtonian nanofluid in a hollow porous vessel

Computer Methods and Programs in Biomedicine

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this paper, the multi-step differential transform method (MDTM), one of the most effective method, is implemented to compute an approximate solution of the system of nonlinear differential equations governing the problem. It has been attempted to show the reliability and performance of the MDTM in comparison with the numerical method (fourth-order Runge-Kutta) and other analytical methods such as HPM, HAM and DTM in solving this problem. The first differential equation is the plane Couette flow equation which serves as a useful model for many interesting problems in engineering. The second one is the Fully-developed plane Poiseuille flow equation and finally the third one is the plane Couette-Poiseuille flow.