A Stability Analysis of Wavelet based Numerical methods of Dynamic Reynolds Equation for Micro-polar Fluid Lubrication

Abstract

Recently, wavelet theory has emerged as a reliable and promising tool in the fields of engineering and research. Wavelets are effectively employed in swift algorithms for informal execution. This study offers a comprehensive stability analysis of a wavelet lifting method utilising both orthogonal and biorthogonal wavelets to address the dynamic stability issue. The application of the Reynolds equation to the lubrication of micropolar fluids is exceptionally innovative. Wavelet approaches are recognised for their ability to effectively address issues involving both spatial and temporal variations. Consequently, they are appropriate for addressing dynamic fluid equations, including the Reynolds equation