Authors : H.A. Bastian and M.A. Kartawidjaja
Abstract: The Lengyel-Epstein model is an Ordinary Differential Equation (ODE) model developed from Chlorite Iodide Malonic Acid (CIMA) chemical reaction in the Initial Value Problem (IVP) form. The stiffness of this model is determined by the rescaling parameter, which depends on the starch concentration. A stiff system is harder to solve and requires a larger computation time and thus, parallelization is applied. In this study, the ODE model is solved using Runge-Kutta implicit parallel scheme on a number of Personal Computers (PCs) connected in a network. The parallelization is implemented in two levels-one is parallelization across the method to solve the nonlinear equations and the other is parallelization across the system to solve the associated linear equations. The parallel environment is emulated using Parallel Virtual Machine (PVM) software. The performance of the parallel system is quantified by the speedup compared to a sequential system. The experiments showed that a significant speedup was achieved by implementing two level parallelization on the Lengyel-Epstein model.
H.A. Bastian and M.A. Kartawidjaja, 2009. Parallel Performance on Solving Lengyel-Epstein Model Using Runge-Kutta Method. Asian Journal of Information Technology, 8: 88-93.