A space-time backward substitution method for three-dimensional advection-diffusion equations

A meshless numerical scheme, named as space-time backward substitution method (STBSM), is proposed for 3D unsteady advection-diffusion equations (ADEs). In this method, the numerical solution is composed by approximation of boundary points and approximation of internal domain. Here, the space-time radial basis function (STRBF) is applied to construct internal approximation which satisfies homogeneous boundary condition. While, time dimension, as...