Year: 2019
Author: Xu Liu, Haina Wang, Jing Hu
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 264–272
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.03.07
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 264–272
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Helmholtz equation finite difference method numerical dispersion