Peer-Reviewed Article October 31, 2018
Fully Implicit Scheme for Solving Burgers' Equation based on Finite Difference Method
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Publisher: Zagazig University, Faculty of Engineering • Egypt • 1687-8493 • 2682-3640
Abstract
In this paper, a new scheme based on finite difference method is presented for solving nonlinear one-dimensional Burgers' equation. The effectiveness of the scheme is illustrated by solving two test problems with known exact solutions. High accuracy of the present scheme is achieved at different values of kinematic viscosity. The obtained numerical solutions are in excellent agreement with the exact solutions and the results are compared with the most popular known explicit methods for solving this equation