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

Section: Research Paper
Issue
Vol. 1 No. 1 (2004): Volume 1 Issue 1
Pages
138-146

Keywords:

Ordinary Differential Equation (ODEs), waveform relaxation scheme, order of accuracy, rate of convergence

Abstract

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 .

References

Author

Ann J. H. Sawoor

Dept. of Mathematics, College of Computer Science and Mathematical University of Mosul, Iraq

Identifiers

DOI: 10.33899/csmj.2004.164102

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The Order of Accuracy for SOR Waveform-Relaxation Method for Solving ODEs. (2004). AL-Rafidain Journal of Computer Sciences and Mathematics, 1(1), 138-146. https://doi.org/10.33899/csmj.2004.164102
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How to Cite

The Order of Accuracy for SOR Waveform-Relaxation Method for Solving ODEs. (2004). AL-Rafidain Journal of Computer Sciences and Mathematics, 1(1), 138-146. https://doi.org/10.33899/csmj.2004.164102