Accession Number : AD0758896

Title :   Naylor Transforms of Mellin Type and Applications.

Descriptive Note : Doctoral thesis,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH APPLIED MATHEMATICS RESEARCH GROUP

Personal Author(s) : Patel,Kanti A.

Report Date : 16 JUN 1972

Pagination or Media Count : 86

Abstract : Some integral transforms introduced by Naylor (1963) are characterized and studied in terms of Mellin transforms. This facilitates the derivation and analysis of transform properties. The transforms are applied to steady-state heat problems in finite circular sectors (polar coordinates) and in finite spherical cones (spherical coordinates). It is shown that the transforms of polar coordinate type are applicable to the biharmonic equation and to stress boundary-value problems for finite wedges. (Author Modified Abstract)

Descriptors :   (*INTEGRAL TRANSFORMS, THEOREMS), (*CONDUCTION(HEAT TRANSFER), BOUNDARY VALUE PROBLEMS), WEDGES, HEAT TRANSFER, ANALYTIC FUNCTIONS, POTENTIAL THEORY, COMPLEX VARIABLES, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, THESES

Subject Categories : Theoretical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE