An interpolating dimension splitting element-free Galerkin(IDSEFG)method for three-dimensional transient convection diffusion problem is presented.Firstly,the dimension splitting method is used to discretize the spatial domain of the three-dimensional problem into a series of two-dimensional problems.The interpolating element-free Galerkin method is employed to construct the discrete system equations for thesetwo-dimensional problems.Then,these equations are coupled via the finite difference method along the dimension splitting direction,while the time domain is also discretized using the finitedifference method.Finally,the computational formulas of the IDSEFG method are obtained.Two examples are given to discussthe computational accuracy and efficiency under differentparameter effects.The results show that the IDSEFG method has significant advantages over the improved element-free Galerkin(IEFG)method in terms of computational precision and speed.
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