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

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0605489

Entities

People

  • Bart C. Campbell

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Differential Equations
  • Diffusion
  • Equations
  • Errors
  • Heat Transfer
  • Mathematics
  • Partial Differential Equations

Readers

  • Fluid Dynamics.
  • Operations Research
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space
  • Space - Hall-Effect Thruster