@Article{CiCP-8-2,
author = {},
title = {A New Stable Algorithm to Compute Hankel Transform Using Chebyshev Wavelets},
journal = {Communications in Computational Physics},
year = {2010},
volume = {8},
number = {2},
pages = {351--373},
abstract = {<p style="text-align: justify;">A new stable numerical method, based on Chebyshev wavelets for numerical
evaluation of Hankel transform, is proposed in this paper. The Chebyshev wavelets
are used as a basis to expand a part of the integrand, r f(r), appearing in the Hankel
transform integral. This transforms the Hankel transform integral into a Fourier-Bessel
series. By truncating the series, an efficient and stable algorithm is obtained for the numerical
evaluations of the Hankel transforms of order ν &gt; −1. The method is quite
accurate and stable, as illustrated by given numerical examples with varying degree of
random noise terms εθ<sub>i</sub> added to the data function f(r), where θ<sub>i&nbsp;</sub>is a uniform random
variable with values in [−1,1]. Finally, an application of the proposed method is given
for solving the heat equation in an infinite cylinder with a radiation condition.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.050609.211209a},
url = {https://global-sci.com/article/81033/a-new-stable-algorithm-to-compute-hankel-transform-using-chebyshev-wavelets}
}