Accession Number:

AD0643144

Title:

GENERATING BESSEL FUNCTIONS WITH AN ANALOG COMPUTER,

Descriptive Note:

Corporate Author:

HARRY DIAMOND LABS WASHINGTON D C

Personal Author(s):

Report Date:

1966-09-01

Pagination or Media Count:

30.0

Abstract:

Because of an indeterminate expression at the origin, Bessel functions J sub nx have not been amenable to an accurate generation with analog computers for 0 x x max. This report extends an idea of Van Remoortere to use an approximation for 0 x x sub 1 and solve a differential equation for x sub 1 x x max, combining both phases by switching. The technique described uses Chebyshev polynomials to minimize equipment in the approximation phase, and generates the function 1x by an integration process in the differential-equation phase to extend the range. The examples given for J sub o, J sub 1, and J sub 9 indicate excellent accuracy for at least 0 x 100.

Subject Categories:

  • Numerical Mathematics
  • Computer Hardware

Distribution Statement:

APPROVED FOR PUBLIC RELEASE