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Mamaloukas, C. (2000) An Approximate Solution of Burgers Equation Using Adomian’s Decomposition Method. Proceedings of the Conference of Applied Differential Geometry—General Relativity and the Workshop on Global Analysis, Differential Geometry and Lie Algebra, Balkan Press, 88-98.

has been cited by the following article:

• TITLE: Adomian Decomposition Approach to the Solution of the Burger’s Equation

  AUTHORS: Iyakino P. Akpan

  KEYWORDS: Adomian Decomposition, Burger’s Equation, Kinematic Viscosity, Nonlinear Operators

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.5 No.3, September 9, 2015

  ABSTRACT: Adomian decomposition method is presented as a method for the solution of the Burger’s equation, a popular PDE model in the fluid mechanics. The method is computationally simple in application. The approximate solution is obtained by considering only the first two terms of the decomposition in this paper. Numerical experimentation shows accuracy of a minimum error of order five for various space steps and coefficient of kinematic viscosity. The method is considered high in accuracy.