As the solution of singular perturbation problem of second order has a boundary layer,it is difficult to obtain ideal approximation results for traditional numerical methods.In order to solve these problems efficiently,the interval is divided and a new hybrid spectral element method is proposed by using the shifted mapped Legendre polynomials and the traditional Legendre polynomials as the basis functions.The new method can be used to better simulate the singular behavior of solutions near the boundary layer.Numerical results verify the effectiveness of the proposed method.
关键词
谱元法/奇异摄动/映射Legendre多项式/边界层
Key words
spectral element method/singular perturbation/mapped Legendre polynomial/boundary layer
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