@Article{CiCP-17-3,
author = {},
title = {Efficient and Accurate Numerical Solutions for Helmholtz Equation in Polar and Spherical Coordinates},
journal = {Communications in Computational Physics},
year = {2015},
volume = {17},
number = {3},
pages = {779--807},
abstract = {<p style="text-align: justify;">This paper presents new finite difference schemes for solving the Helmholtz
equation in the polar and spherical coordinates. The most important result presented
in this study is that the developed difference schemes are pollution free, and their
convergence orders are independent of the wave number k. Let h denote the step
size, it will be demonstrated that when solving the Helmholtz equation at large wave
numbers and considering kh is fixed, the errors of the proposed new schemes decrease
as h decreases even when k is increasing and kh&gt;1.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.110214.101014a},
url = {https://global-sci.com/article/80398/efficient-and-accurate-numerical-solutions-for-helmholtz-equation-in-polar-and-spherical-coordinates}
}