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Ioannis K Argyros (2000) BACK MATTER. Advances in the Efficiency of Computational Methods and Applications: pp. 503-546.

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Article

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

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


American Journal of Applied Mathematics and Statistics. 2016, Vol. 4 No. 4, 113-117
DOI: 10.12691/ajams-4-4-3
Copyright © 2016 Science and Education Publishing

Cite this paper:
T. Mayooran, 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.

Correspondence to: T.  Mayooran, Department of Mathematics and Statistics, Minnesota state university, Mankato, USA. Email: thevaraja.mayooran@mnsu.edu

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.

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