WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 21, 2022
Numerical Analysis of Fluid Flow Problems Using Spectral Relaxation Method (SRM)
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Abstract: The paper presents four examples arising from mathematical models in fluid flow. Examples 1 and 2 illustrate the implementation of the spectral relaxation method (SRM) on problems involving ordinary differential equations. Examples 3 and 4 illustrate the application of the SRM on partial differential equations. The SRM is accurate and robust if it is used together with the successive overrelaxation (SOR) technique. The method is easy to implement and requires less computational time than similar methods that can be used to solve similar problems. The method converges after a few iterations and is stable. The method can be used as an alternative method to solve problems arising in fluid flow.
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Keywords: Successive relaxation, spectral relaxation method, ordinary and partial differential equations
Pages: 199-214
DOI: 10.37394/23202.2022.21.22