| In this passage we propose the tailored finite point method(TFPM)for mod-ified Helmholtz equation on the Cartesian and triangular grid.The comparison between TFPM and finite difference method(FDM)on Cartesian grid,and com-parioson between TFPM and finite element method(FEM)on triangular grid have been given.Compared to traditional FDM or FEM,we find that the TFPM show better performance in solving singular pertubation problem.We also apply the method to solve Reaction-Diffusion equation. |
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