Numerical Solution of the Heat Conductance Equation

This paper studies different simulation models of the thermal conduction equation to determine different types of temperature distributions along a thin, solid, homogeneous bar that is insulated along its length. In the first part of the paper it is proposed to solve this partial derivative equation using a numerical approach based on the finite difference method of approximating the derivatives, and in the second part of the paper the results obtained are determined by numerical and graphical simulations.