The Order of Accuracy for SOR Waveform-Relaxation Method for Solving ODEs

In this paper we will discuss and find the order of accuracy for subsystems of ODE that obtained from partitioning the successive Over relaxation(SOR) method and we will show that the form of equation to be solved after applying the waveform relaxation scheme is : Where ,the relaxation parameter ,should be chosen so that the rate of convergence is maximized .