engleski

Numerical Implementation of Adomian Decomposition Method for Burgers Equation

Burgers equation is a very important fluid dynamical model. It appears customary to test new approaches in computational fluid dynamics by applying them to Burgers equation. In this study, for Burgers equation which is used a model problem in turbulence and shock wave teory was given a solution via Adomian decomposition method (ADM). The semi-analytic Adomian decomposition method is proposed to solve Burgers equation with different Reynolds number. The Adomian decomposition method provides the solution for given initial condition without using any discretization, in successive components that will be added to the rapidly convergent solution. This method is applied on Burgers equation with small and high Reynolds number. The solutions are calculated with reducing the computational work. The Adomian decomposition method is successfully implemented for numerical calculation of Burgers equation. In this paper, we have improved numerical solutions of Burgers equation through an accurate, efficient and convenient form of the Adomian recursive scheme. The proposed improved decomposition algorithm resulted with reliable and efficient computational method for governing equation.

Burgers equation; Adomian decomposition method

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