About calculation of the Hankel transform using preliminary wavelet transform

Author:

Postnikov E. B.1

Affiliation:

1. Theoretical Physics Department, Kursk State Pedagogical University, Radischeva st. 33, Kursk 305000, Russia

Abstract

The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates the proposed algorithm.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Improved algorithm for the quasi-discrete Hankel transform;Journal of the Optical Society of America A;2021-02-19

2. A novel computational hybrid approach in solving Hankel transform;Applied Mathematics and Computation;2016-04

3. A Hankel Transform Approach to Inverse Quasi-Static Steady-State Thermal Stresses in a Thick Circular Plate;International Journal of Applied and Computational Mathematics;2015-08-07

4. A Stable Hankel Transforms Algorithm Based on Haar Wavelet Decomposition for Noisy Data;Mathematical Problems in Engineering;2015

5. Application of Wavelets in Numerical Evaluation of Hankel Transform Arising in Seismology;Mathematical Models, Methods and Applications;2015

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