This paper presents two methods for obtaining the solutions to the nonlinear Korteweg-de Vries–Burgers (KdVB) equation. The first is the method of lines (MOL). The second method is Adomian decomposition method (ADM). The numerical results of the MOL are compared with the analytical results of the ADM. In order to show the reliability of the considered methods we have compared the obtained solutions with the exact ones. The results reveal that the both methods are effective and convenient for solving such types of partial differential equations but the method of lines gives accurate results over the analytical method.