Abstract: Improvement of stability,convergence and computational efficiency in numerical modeling of surface water flow and solute transport for border fertigation is useful to design and evaluation of border fertigation systems.In this study,a one-dimensional model for coupling surface water flow with solute transport for border fertigation is developed and presented.The model is based on the implicit-explicit time scheme,and uses the finite-difference method,the finite-volume method,and the finite-element method to discretize the space derivative of the physical flux vector linear approximation,the space derivative of the physical flux vector,the solute diffusion vector and the bottom element vector.The governing equations for the model can thus be solved numerically.