comparison of an implicit vs. explicit one-dimensional finite differences program for solving the unsteady heat-flow-equation

The heat-flow equation (without source-term):

heatflow-equation

The input data-file (identical for both programs)

The explicit version (Fortran 77 source code)

The implict version (Fortran 77 source code)

A small programm for comparison of the results (Fortran 77 source code)

New and nicer the same programs as scilab programs: explict, implicit (updated at 2012-03-07).

The programs calculate the heat distribution at a 100m long row in one year, where the row has the following thermal properties:




The results:

Explicit

explicit solution

Implicit

implicite solution

The difference

(really small - only at the borders there is a bigger difference probably because of a malfunction of the SY-Subroutine):

comparison



Author: Wolfram Rühaak, 28. May 2002