Abstarct: ................................................ It is one of the important members in the stability of dams and dam elements. Leakage in dams is caused by damage in any of the elements of the dam. One of the factors of internal failure in dams is internal erosion, which causes fine soil particles to be washed away and seepage in parts of the dam. Differential equations and equations with partial derivatives are important and widely used in solving engineering problems. Solving these equations has always been associated with some problems, problems such as complexity in calculations and not obtaining an exact solution in solving the problem, which is the reason for many studies. It should be done carefully in order to find the right answer. One of the methods to solve the problem is the radial point interpolation method, which has received attention in recent years. Now, in order to solve the Laplace equation related to water seepage in the soil under the dams, the radial point interpolation method has been used. In the radial point interpolation method, there is a higher precision in the problem compared to the solution through finite elements, and gridding is used. can't And compared to the finite element method, the method is more up-to-date and under development.