The numerical algorithms of infinite integrals involving products of Bessel functions of arbitrary order

DOI10.1007/s40314-022-01816-3zbMath1499.65733OpenAlexW4220660840WikidataQ114219296 ScholiaQ114219296MaRDI QIDQ2125909

Xing Li, Yonglin Yang, Xu Wang, Wenshuai Wang, Sheng-Hu Ding

Publication date: 14 April 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01816-3

zbMATH Keywords

double Bessel function integralsfolded linear approach methodG-S inverse Laplace transform methodlarge argument approximate expression of the Bessel function

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10)

Uses Software

• quadgk
• quadva

Cites Work

• Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures
• Evaluating infinite integrals involving products of Bessel functions of arbitrary order
• Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels
• Explicit solutions to hyper-Bessel integral equations of second kind
• Vectorized adaptive quadrature in MATLAB
• Diffraction of antiplane shear waves by a finite crack in a piezoelectric material
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• Discontinuous Galerkin approximations for Volterra integral equations of the first kind
• Diffraction of Antiplane Shear Waves by a Finite Crack in the Presence of the Magnetic Field
• Efficient methods for some highly oscillatory integrals and integral equations
• On the Convergence of the Gaver--Stehfest Algorithm
• Diffraction of Antiplane Shear Waves by a Finite Crack

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