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Algorithm xxx: Airy Functions

Published

Author(s)

Bruce R. Fabijonas, Daniel W. Lozier, Frank W. Olver

Abstract

We present a Fortran 90 module which computes the solutions of Airy's differential equation, and their derivatives, both on the real line and in the complex plane. The computational methods are numerical integration of the differential equation and summation of asymptotic expansions for large argument. The module also computes the zeros and associated values of the solutions and their derivatives, and modulus and phase functions on the negative real axis.
Citation
Association for Computing Transactions on Mathematical Software
Volume
30
Issue
4

Keywords

airy functions, algorithms for special functions, numerical analysis

Citation

Fabijonas, B. , Lozier, D. and Olver, F. (2004), Algorithm xxx: Airy Functions, Association for Computing Transactions on Mathematical Software (Accessed April 18, 2024)
Created December 15, 2004, Updated June 2, 2021