Ghiffari Ahnaf Danarwindu, Nikenasih Binatari
Heat flow affected by the velocity of heat propagation can be expressed in ma-thematical models and is called convection diffusion equation. The exact solution of this equation is differed according to its initial value. In this paper, an exact solution as a function of its initial value was presented in form of Green Function and its convergence to the steady state condition was also discussed. First, the equation was transformed into a homogeneous diffusion equation and the result was obtained using separation variables method for Dirichlet boundary conditions. This result was then inverted so that the solution of the original problem was obtained. From the simulations, it can be concluded that the solution of diffusion convection equation approaches to the steady state condition. Moreover, the existence of the positive convection part makes the equation approaches slower to the steady state condition than the diffusion equation without convection. © 2022 Author(s).
Mathematics Study Program, Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, Yogyakarta State University, Indonesia
