Abstract
In the current work, a new approach based on exponential functions is presented to reach the exact solutions to the problem of natural convection about a full cone which is set in a porous medium for the both states of prescribed surface heat flux and wall temperature. The solutions are described in the form of the exponential functions series with unknown coefficients while the operational matrices of derivative and product of these functions are utilized to find these coefficients iteratively without solving the system of nonlinear equations. The solutions demonstrate the validity and applicability of the proposed technique by means of the residual function error norm.
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