Finite difference scheme for hyperbolic heat conduction with continuous and pulsed heat sources

Authors

de la Torre, Agatha; Cristine Villagonzalo

Source

Proceedings of the 23rd Samahang Pisika ng Pilipinas Physics Congress, Central Philippine University, Iloilo City, 26–28 Oct 2005, SPP-2005-015.

Abstract

The temperature distribution in a region of a one dimensional (1D) semi-infinite slab as defined by the hyperbolic heat equation, is modelled by utilizing the finite-difference approximation for partial-differential equations. The distribution is observed for both pulsed and continuous heat sources for a homogenous medium. The stability of the numerical scheme is determined via the Von-Neumann stability criteria.