Numerical computation of infinite Bessel transforms with high frequency

作者：Chen, Ruyun^*; Kuang, Xuesong; Li, Zhi

来源：International Journal of Computer Mathematics, 2018, 95(10): 2056-2065.

DOI：10.1080/00207160.2017.1364372

• Numerical integration
• oscillatory
• infinite integrals
• Bessel function
• error analysis

In this paper numerical evaluation of infinite Bessel transforms with high frequency is considered. We first derive an asymptotic formula by using the integration by parts. Next we use an interpolation formula to evaluate the infinite Bessel transforms by choosing the suitable basis and nodes. The corresponding error results are proved, and numerical examples are shown to illustrate the efficiency and accuracy of the presented formulae.

• 出版日期2018
• 单位广东海洋大学