Green´s function solution of hyperbolic heat equation suitable for thermal analysis of electronic nanostructures

This paper presents the detailed analysis of a Green´s function solution of the hyperbolic heat equation, which is derived for a thin one-dimensional benchmark structure heated on one side by a heat flux and cooled on the other side by the imposed isothermal boundary condition. The Green´s function for the considered structure is obtained with the images method and the temperature solution is determined by the numerical integration of the Green´s function over time. The computed solution is compared with the previously published results obtained employing the Laplace transform solution method. The paper concludes with the outline for the future development of the proposed solution method.