Accession Number : AD0605489

Title :   AN INVESTIGATION OF THE ACCURACY OF NUMERICAL SOLUTIONS IN THE DIFFUSION EQUATION FOR TRANSIENT HEAT TRANSFER.

Descriptive Note : Master's thesis,

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

Personal Author(s) : Campbell,Bart C.

Report Date : AUG 1964

Pagination or Media Count : 64

Abstract : This investigation compares the accuracy obtained using two implicit finite difference representations of the partial differential equation for transient heat conduction to obtain solutions to two basic conduction problems. The two repre sentations considered are the Crank-Nicolson form and a theoretically more optimum form designated as the Optimum Implicit form. It is demonstrated that the major source of error occurs at the initial time/space node of the difference mesh. By decreasing this error, the Optimum Implicit form is shown to be as accurate as the Crank-Nicolson form in one problem, and considerably more accurate in the second. (Author)

Descriptors :   (*HEAT TRANSFER, NUMERICAL ANALYSIS), (*PARTIAL DIFFERENTIAL EQUATIONS, HEAT TRANSFER), (*DIFFUSION, EQUATIONS), PROGRAMMING (COMPUTERS), DIFFERENCE EQUATIONS, OPTIMIZATION, NUMERICAL METHODS AND PROCEDURES, ERRORS, THERMAL CONDUCTIVITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE