Heat transport at the microscale is of vital importance in microtechnology applications. The heat transport equation is different from the traditional heat diffusion equation since a second-order derivative of temperature with respect to time and a third-order mixed derivative of temperature with respect to space and time are introduced. In this paper, the reduced differential transform method (reduced-DTM), is employed to obtain the numerical/analytical solutions of this equation. We begin by showing that how the reduced-DTM applies to a linear and non-linear part of any PDEs. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions or perturbation theory. We also compare obtained approximation solution against exact solution. These results show that the technique introduced here is accurate and easy to apply.

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