Dam burst flows could lead to flooding with catastrophic consequences, such as property damage and loss of life. Therefore, dam break flows have been the subject of scientific and technical research by many hydraulic and engineering scientists. Mitigating impacts to the highest possible level requires modeling the flow with sufficient detail to capture both spatial and temporal evolutions of the flow. the flood event (Jorgenson, 2004), as well as the velocity field. Selecting an appropriate model to correctly simulate the path of floods due to dam failure is therefore an essential step. Traditionally, one- and two-dimensional models have been used to model dam-break flooding, but these models are limited in their ability to capture the flood space. extent, in terms of depth and speed of flow and timing of flood arrival and recession, with any degree of detail. Development in recent years has led to the creation of several numerical models aimed at solving the so-called dam failure problem (Soarez Frazao, 2002). The Concerted Action on Dam Break Modeling (CADAM) project (Morris, 1998), was initiated by the European Union to investigate current methods and their use in simulating and predicting the effects of dam failures. The obtained results show that the shallow water scheme is reasonably suitable for representing sharp free surface transients (Wang et al., 2000) and the authors concluded that the shallow water methods agree satisfactorily with the results experimental (Alcrudo, 1998). Previous studies were mainly based on analytical solutions for idealistic conditions. For example, Stoker developed an analytical solution for predicting dam break flows in an idealized channel, where the bed slope was assumed to be zero and… half the problem… hyperbolic of the paper. Afshar and Shobeyri studied the effect of the irregularity of the domain discretization on the performance of the CDLS method for solving convection-dominated problems. They concluded that the proposed CDLS method was capable of producing highly accurate results for hyperbolic problems even on a highly irregular distribution of nodes. This method was later used for the simulation of free surface problems by Shobeyri and Afshar. They used an a priori error estimator to improve the efficiency of simulating free surface flow problems with the CDLS method. In this paper, schemes for the solution of one-dimensional homogeneous shallow-water wave equations using the meshless associated approximate collocated discrete least squares (CDLSM) method were examined. Therefore, a well-known analytical solution to the dam failure problem was used to evaluate the performance.