A Fortran Computer Program for Calculating the Prolate Spheroidal Radial Functions of the First and Second Kind and Their First Derivatives.
NAVAL RESEARCH LAB WASHINGTON D C
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The solutions of the Helmholtz wave equation in prolate spheroidal coordinates can be obtained by separation of variables. The subject of this report is a Fortran computer program called PRAD which calculates numerical values to the solutions of the resulting ordinary differential equation for the radial coordinate. The printed output of PRAD consists of radial functions of the first and second types, their first derivatives, the separation constants or eigenvalues, and an accuracy check. The report describes the computer program PRAD and briefly reviews the theory of prolate spheroidal wave functions. A computer listing of PRAD along with some sample output is included in an appendix. Author
- Numerical Mathematics
- Computer Programming and Software