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Application of He’s homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate. (English) Zbl 1217.76029
Summary: In this Letter, the problem of forced convection over a horizontal flat plate is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide-range applications of the homotopy perturbation method in comparison with the previous ones in solving heat transfer problems. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations.
MSC:
76D10Boundary-layer theory, separation and reattachment, etc. (incompressible viscous fluids)
76E06Convection (hydrodynamic stability)
80A20Heat and mass transfer, heat flow
35Q35PDEs in connection with fluid mechanics
76M25Other numerical methods (fluid mechanics)