A Mathematical Approach to one Dimensional Burgers' Equation
نویسنده
چکیده
The one dimensional Burgers' equation is solved numerically using a finite element method, where a combination of cubic B-splines is used as an approximating function. Different comparisons for the test problem in hand, are made to validate the proposed numerical technique. Results obtained from the proposed numerical scheme are found to be in good agreement with the exact solution.
منابع مشابه
Numerical solution of the one dimensional non-linear Burgers equation using the Adomian decomposition method and the comparison between the modified Local Crank-Nicolson method and the VIM exact solution
The Burgers’ equation is a simplified form of the Navier-Stokes equations that very well represents their non-linear features. In this paper, numerical methods of the Adomian decomposition and the Modified Crank – Nicholson, used for solving the one-dimensional Burgers’ equation, have been compared. These numerical methods have also been compared with the analytical method. In contrast to...
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