Abstract
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.
