Abstract
We study a tailored finite point method (TFPM) for solving the Poisson's equation, and extent the application for TFPM to the biharmonic problem. The solution's basis functions for the TFPM are constructed by some hyerbolic functions and trigonometric functions. Some truncation error calculations are given. Numerical tests are given on problems containing the L-shaped domain. The tests compare TFPM with a software package, and suggest that TFPM gives a good numerical solution.
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