Asymptotic expansions of Bessel, Anger and Weber transformations

作者：Chen, Ruyun^*; Liang, Ximing

来源：Journal of Mathematical Analysis and Applications, 2010, 372(2): 377-389.

DOI：10.1016/j.jmaa.2010.07.012

• Homotopy perturbation method
• Bessel transformation
• Oscillatory integrals
• Numerical quadrature

In this paper we explore higher order numerical quadrature for the integrations of systems containing Bessel, Anger and Weber functions. The method is constructed by finding the approximate solution of the differential equation and truncating the asymptotic series. Numerical examples based on theoretical results are presented to demonstrate the efficiency of the method.

• 出版日期2010-12-15
• 单位广东海洋大学; 中南大学