Efficacy of Three Semi-Analytical Techniques for Solving PDEs Arising in Turbulent Flow Motion

Abstract

This research explores the solution of coupled 2-D and 3-D Burgers' equations, a partial differential equation arising in turbulent flow motion through three accurate and efficient techniques. The proposed schemes are the mixture of Sumudu transform with three classical techniques such as homotopy perturbation method (STHPM), Adomian decomposition method (STADM), and variational iteration method (STVIM). The research aims to compare these methods, evaluating their accuracy and efficacy in solving these systems of equations. The analysis seeks to uncover the strengths and limitations of each approach, contributing to the progress of numerical techniques for addressing coupled Burgers' equations. A comparison with the Finite Difference Method (FDM) is also performed to assess the efficiency of these hybrid techniques.