A Numerical Algorithm for Arbitrary Real-Order Hankel Transform

The Hankel transform is widely used to solve various engineering and physics problems, such as the representation of electromagnetic field components in medium, dynamic stress intensity factors, vibration axisymmetric infinite membrane displacement factors which all involve this type integration. However, traditional numerical integration algorithms cannot be due high oscillation characteristics Bessel function, so it particularly important propose a precision efficient algorithm for calculating integral oscillation. In paper, improved Gaver-Stehfest (G-S) inverse Laplace method arbitrary real-order function presented by using asymptotic accumulation integration, optimized G-S coefficients are given. effectiveness verified examples. Compared with linear transformation accelerated convergence algorithm, shows that suitable real order transform, time consumption relatively stable short, provides reliable calculation study mechanics, wave propagation, fracture dynamics.