.... The superiority of the proposed model is significant when multi-resolution irregular node distributions commonly seen in adaptive refinement strategies used to save computational cost are applied. MLS Elliptic partial differential equations Higher-order incompressible SPH Laplacian model Mesh-less methods...

... function having compact support, u(ξ) is the nodal value of the approximated function at point ξ . Meshless methods Poisson equation Free surface flows MLS Voronoi diagram Free surface flow simulation arises in many engineering problems with considerable practical aspects...