Numerical Analysis of Fluid Flow Problems Using Spectral Relaxation Method (SRM)

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.