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American Journal of Applied Mathematics and Statistics. 2016, 4(4), 113-117
DOI: 10.12691/AJAMS-4-4-3
Original Research

Applying the Successive Over-relaxation Method to a Real World Problems

T. Mayooran1, and Elliott Light1

1Department of Mathematics and Statistics, Minnesota state university, Mankato, USA

Pub. Date: August 13, 2016
Full Text PDF

Cite this paper

T. Mayooran and Elliott Light. Applying the Successive Over-relaxation Method to a Real World Problems. American Journal of Applied Mathematics and Statistics. 2016; 4(4):113-117. doi: 10.12691/AJAMS-4-4-3

Abstract

Solving a system of equations by Ax=b, where A is a nn matrix and b and n1 vector, can sometime be a daunting task because solving for x can be difficult. If you were given an algorithm that was efficient, that’s great! What if you could make it solve the problem even faster? That’s even better. We will first take a look at establishing the basics of the successive over-relaxation method (SOR for short), then we’ll look at a real-world problem we applied the SOR method to, solving the heat-equation when a constant boundary temperature is applied to a flat plate.

Keywords

Interactive Method, Successive Over-Relaxation Method (SOR)

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

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