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<p>We develop a global collocation based meshfree method for simulation of solute transport in the saturated aquifer formations. We prove that the projected model is free from the limitations of mesh or grid which are used in finite element method (FEM) and finite difference method (FDM). We apply this model on different one and two-dimensional synthetic aquifer problems with advection-dispersion phenomenon. The results of these problems demonstrate that the proposed model is free from the limitations of unstable convergence and has a fixed range (i.e., 2-3) of shape parameter hence it requires less number of simulations to calibrate the model. More importantly, the proposed model is simple to code and shows a higher degree of unanimity with the analytical solution, making it a viable alternative to grid-based traditional methods. </p> <p> </p>

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