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.

Issue Section:
Brief Notes
Keywords:
fluid mechanics, turbulence, convection, partial differential equations, parabolic equations
Topics:
Approximation, Boundary-value problems, Convection, Fluid mechanics, Numerical analysis, Partial differential equations, Reynolds number, Turbulence
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Copyright © 2003
 by ASME
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