Because of simplicity and reasonable results that can be obtained by one dimensional solution the use of these predictions are increasing. In this research one dimensional solution for sediment transport phenomenon by finite volume method is proposed. Depending to the sensitivity of the solution sediment transport equations solved by implicit and explicit schemes. Furthermore kinematic and dynamic wave models were used in the one dimensional unsteady sediment transport. Moreover equilibrium and non-equilibrium cases were taken into consideration. Meanwhile explicit and implicit approaches were introduced. Finally the numerical results were compared with the experimental findings.