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AL-Rafidain Journal of Computer Sciences and Mathematics

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

    Ann J. H. Sawoor

AL-Rafidain Journal of Computer Sciences and Mathematics, 2004, Volume 1, Issue 1, Pages 138-146
10.33899/csmj.2004.164102

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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  ω ,the relaxation parameter ,should be chosen so that  the  rate of convergence is maximized .
Keywords:
    Ordinary Differential Equation (ODEs) waveform relaxation scheme order of accuracy rate of convergence
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(2004). The Order of Accuracy for SOR Waveform-Relaxation Method for Solving ODEs. AL-Rafidain Journal of Computer Sciences and Mathematics, 1(1), 138-146. doi: 10.33899/csmj.2004.164102
Ann J. H. Sawoor. "The Order of Accuracy for SOR Waveform-Relaxation Method for Solving ODEs". AL-Rafidain Journal of Computer Sciences and Mathematics, 1, 1, 2004, 138-146. doi: 10.33899/csmj.2004.164102
(2004). 'The Order of Accuracy for SOR Waveform-Relaxation Method for Solving ODEs', AL-Rafidain Journal of Computer Sciences and Mathematics, 1(1), pp. 138-146. doi: 10.33899/csmj.2004.164102
The Order of Accuracy for SOR Waveform-Relaxation Method for Solving ODEs. AL-Rafidain Journal of Computer Sciences and Mathematics, 2004; 1(1): 138-146. doi: 10.33899/csmj.2004.164102
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