Miaomiao Yang, Wentao Ma, Yongbin Ge*
CMES-Computer Modeling in Engineering & Sciences, Vol.126, No.1, pp. 25-54, 2021, DOI:10.32604/cmes.2021.012575
Abstract In this paper, Chebyshev interpolation nodes and barycentric Lagrange interpolation basis function are used to
deduce the scheme for solving the Helmholtz equation. First of all, the interpolation basis function is applied to
treat the spatial variables and their partial derivatives, and the collocation method for solving the second order
differential equations is established. Secondly, the differential equations on a given test node. Finally, based on three kinds of test nodes, numerical experiments show that
the present scheme can not only calculate the high wave numbers problems, but also calculate the variable wave
numbers problems. In addition, the algorithm has… More >
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