Keywords : Crank–Nicholson Method


Numerical Analysis of the Burger Equation using Finite Differences

Saad A. Manna; Badran J. Salem

AL-Rafidain Journal of Computer Sciences and Mathematics, 2007, Volume 4, Issue 1, Pages 119-132
DOI: 10.33899/csmj.2007.164006

The Burger equation had been solved numerically by using two finite differences methods. The first is explicit scheme method and the second is Crank–Nicholson method. A comparison had been made between the two and we find that the Crank–Nicholson method is the best and most accurate than the explicit scheme method, as it is shown in (Table 1). Also the numerical stability for both methods has been made, the explicit scheme method is conditionally stable and the condition is , while Crank–Nicholson method is unconditionally stable.