AN INVESTIGATION OF THE ACCURACY OF NUMERICAL SOLUTIONS IN THE DIFFUSION EQUATION FOR TRANSIENT HEAT TRANSFER.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO
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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 timespace 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