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Purpose The purpose of this paper is to discuss the natural convection flow of an incompressible third grade fluid between two parallel plates. The basic equations governing the flow are reduced to a nonlinear ordinary differential equation. Design/methodology/approach The resulting nonlinear ordinary differential equation is solved by multi-step differential transform method (MDTM). Findings The obtained solutions in comparison with the numerical solutions (fourth-order Runge-Kutta) admit a remarkable accuracy. Originality/value The analysis illustrates the validity and the great potential of the MDTM in solving nonlinear differential equations.
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Rashidi et al. (2013) studied this question.
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