@Article{CMR-35-3,
author = {Xu, Liu and Wang, Haina and Jing, Hu},
title = {An Optimal Sixth-Order Finite Difference Scheme for the Helmholtz Equation in One-Dimension},
journal = {Communications in Mathematical Research },
year = {2019},
volume = {35},
number = {3},
pages = {264--272},
abstract = {<p style="text-align: justify;">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&#39;s weight parameters. Numerical results are presented to demonstrate the efficiency and accuracy of the optimal finite difference scheme.&nbsp;</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2019.03.07},
url = {https://global-sci.com/article/81567/an-optimal-sixth-order-finite-difference-scheme-for-the-helmholtz-equation-in-one-dimension}
}