Accession Number : AD0017504
Title : THE FINITE STURM-LIOUVILLE TRANSFORM
Descriptive Note : Technical rept.
Corporate Author : ILLINOIS INST OF TECH CHICAGO
Personal Author(s) : Eringen, A C
Report Date : Aug 1953
Pagination or Media Count : 27
Abstract : Special transforms whose intervals are finite are unified and extended. A kernel is employed which may be determined to suit each particular type of problem. The Sturm-Liousville expansion is obtained for f(x) when f(x) is an integral function over (a,b) and a alxlb. The finite Sturm-Liouville transform is defined. Solutions are ontianed for some partial differential equations. Consideration is given to spherical harmonics; Hermite and Tchebycheff polynomials; and Bessel, Mathieu, and Wittaker functions. A heat conduction problem for which the solution was not known was successfully solved.
Descriptors : *SPHERICAL HARMONICS , *INTEGRAL TRANSFORMS , FUNCTIONS , POLYNOMIALS , THERMAL CONDUCTIVITY , PARTIAL DIFFERENTIAL EQUATIONS
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE