### A new approximate-analytical method to solve non-Fourier heat conduction problems

#### Abstract

In this paper, the effect of laser as a heat source on a thin film was investigated. The non-Fourier heat conduction modelof Cattaneo-Vernotte was used for thermal analysis of the problem. The thermal conductivity was assumed temperaturedependent, which resulted in a non-linear equation and by assuming the role of laser as a heat source, a non-homogeneous

equation was obtained. The obtained equations were solved using approximate-analytical method of variational iteration method (VIM). It was concluded that the non-linear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in the similar problems.

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