In this study, two kinds of meshfree methods: a boundary type and a domain type method are presented for time dependent problems and their performance is compared. The domain type is based an approximating the solution in terms of a set of radial basis functions and collocating at some points for the spatial variable followed by using a time marching scheme. In the boundary type the solution is expressed as a linear combination of the time dependent fundamental solution which exactly satisfies the PDE in the domain. The coefficients of this combination are then found in such a way that the the initial and boundary conditions are satisfied. Since the solution process in the latter method is mostly analytical, a more accurate solution is expected.
