典型文献
A Numerical Algorithm for Arbitrary Real-Order Hankel Transform
文献摘要：
The Hankel transform is widely used to solve various engineering and physics problems,such as the representation of electromagnetic field components in the medium,the representa-tion of dynamic stress intensity factors,vibration of axisymmetric infinite membrane and displacement intensity factors which all involve this type of integration.However,traditional numerical integration algorithms cannot be used due to the high oscillation characteristics of the Bessel function,so it is particularly important to propose a high precision and efficient numerical algorithm for calculating the integral of high oscillation.In this paper,the im-proved Gaver-Stehfest(G-S)inverse Laplace transform method for arbitrary real-order Bessel function integration is presented by using the asymptotic characteristics of the Bessel function and the accumulation of integration,and the optimized G-S coefficients are given.The effectiveness of the algorithm is verified by nu-merical examples.Compared with the linear transformation accel-erated convergence algorithm,it shows that the G-S inverse Laplace transform method is suitable for arbitrary real order Hankel trans-form,and the time consumption is relatively stable and short,which provides a reliable calculation method for the study of electromag-netic mechanics,wave propagation,and fracture dynamics.
文献关键词：
中图分类号：
作者姓名：
YANG Yonglin;LI Xing;DING Shenghu;WANG Wenshuai
作者机构：
School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,Ningxia,China
文献出处：
引用格式：
[1]YANG Yonglin;LI Xing;DING Shenghu;WANG Wenshuai-.A Numerical Algorithm for Arbitrary Real-Order Hankel Transform)[J].武汉大学自然科学学报（英文版）,2022(01):26-34
A类：
Gaver
B类：
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AB值：
0.554638
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