Accession Number : AD0726985

Title :   The Solution of Mixed Boundary Value Problems Using Numerical Green's Functions.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Personal Author(s) : Edwards,Thomas Y.

Report Date : JUN 1971

Pagination or Media Count : 66

Abstract : The solution by numerical Green's functions of Poisson's equation with mixed boundary was examined. The differential equation in one and two dimensions was also solved by conventional numerical tehcniques, and solution time and accuracy of the two numerical methods were compared against analytical solutions with the aid of a computer. The results of the study indicate that the use of numerically determined Green's functions can be advantageous over conventional numerical techniques if certain restrictions are observed. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), (*BOUNDARY VALUE PROBLEMS, POTENTIAL THEORY), GREEN'S FUNCTION, DIFFERENCE EQUATIONS, NUMERICAL ANALYSIS, MATRICES(MATHEMATICS), HEAT TRANSFER, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE