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


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


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.