The Parallel Three-Processor Fifth Order Diagonally Implicit Runge-Kutta Methods for Solving Ordinary Differential Equations

摘要

Fifth order diagonally implicit Runge-Kutta methods with a modified sparsity structure suitable for parallel implementations on three processors are developed. The efficiency of the methods in terms of accuracy to solve a standard set of problems is compared to an established method. From the results we can conclude the new methods are comparable to the existing method.