A comparative study of Adomian decomposition method and variational iteration method in solving damped Burgers' equation
DOI:
https://doi.org/10.55573/JISED.118764Keywords:
Adomian Decomposition, Burgers’ Equation, Variational Iteration MethodAbstract
Finding exact solutions to the nonlinear Burgers’ equation remains challenging because of the interaction between nonlinear convection and linear diffusion. The main objective of this study is to evaluate and compare the accuracy, convergence, and algebraic simplicity of the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) when applied to damped Burgers’ equations. Numerical computations are carried out in Maple up to the fifth iteration, while MATLAB is used to generate graphical plots for visual comparison. Results based on three different Gaussian-type initial profiles show that both ADM and VIM produce approximate solutions that closely agree to each other. Although both methods demonstrate comparable accuracy, VIM is computationally more efficient because it avoids the explicit construction of Adomian polynomials and has a shorter execution time using Maple.
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