This paper presents the use of a hybrid method which combines differential transformation and finite difference approximation techniques in the solution of the nonlinear Burgers’ equation for various values of Reynolds number including high values. In order to demonstrate the accuracy and validity of the proposed method, it is used to solve several examples of Burgers’ equation, with each example having different initial conditions and boundary conditions. It is found that the results obtained are in good agreement with the analytical solutions, and that the results are more accurate than those provided by other approximate numerical methods.
Application of a Hybrid Method to the Solution of the Nonlinear Burgers’ Equation
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, July 19, 2002; final revision, Apr. 12, 2003. Associate Editor: D. A. Siginer.
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Kuo , B., and Chen , C. (January 5, 2004). "Application of a Hybrid Method to the Solution of the Nonlinear Burgers’ Equation ." ASME. J. Appl. Mech. November 2003; 70(6): 926–929. https://doi.org/10.1115/1.1629107
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