数学研究通讯

2019, v.35(03) 264-272

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An Optimal Sixth-order Finite Difference Scheme for the Helmholtz Equation in One-dimension
An Optimal Sixth-order Finite Difference Scheme for the Helmholtz Equation in One-dimension

LIU XU;WANG HAI-NA;HU JING;

摘要(Abstract):

In this paper,we present an optimal 3-point finite difference scheme for solving the 1D Helmholtz equation.We provide a convergence analysis to show that the scheme is sixth-order in accuracy.Based on minimizing the numerical dispersion,we propose a refined optimization rule for choosing the scheme’s weight parameters.Numerical results are presented to demonstrate the efficiency and accuracy of the optimal finite difference scheme.

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基金项目(Foundation): The Key Project (2018Z02) of Jilin University of Finance and Economics,the NSF (11701209) of China

作者(Author): LIU XU;WANG HAI-NA;HU JING;

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