Meshless local radial basis function collocation method for convective‐diffusive solid‐liquid phase change problems

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On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs (2010, methodology): “RBF collocation method has since become a popular tool for solving a wide range of engineering problems, including shallow water equation [6], biphasic mixtures [7], convective–diffusive solid–liquid phase change [8], plate theory [9], and ill-posed boundary value problems [10].”
Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions (2012, methodology): “Subsequently, due to handiness of this approach, the LRBFCM has been applied to more complex problems such as convection–diffusion problems with phase-change [37], continuous casting [40], solid–solid phase transformations [22], heat transfer and fluid flow [41], Navier– Stokes equations [7], Darcy ”
A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets (2013, unknown): “These include [42,43,29,44,32,33,35,34,45,36–40] and the references therein.”