GENERALIZED SOLUTION OF THE MIXED HEAT-CONDUCTION PROBLEM BY THE WEIGHTED TEMPERATURE METHOD

On the basis of the weighted temperature method, an algorithm of generalized solution of boundary-value problems on the heat conduction in bodies canonical in shape with boundary conditions of general form has been constructed. It is shown that this problem is equivalent, in the limit, to the infi nite system of identities including n-fold integral operators for the temperature function, initial and boundary conditions, and internal heat source as well as an additional boundary function (the temperature at one of the boundary points or its derivative with respect to the coordinate of this point). High approximation accuracy of the approach proposed is demonstrated by the example of solving a number of boundary-value problems on nonstationary heat conduction with nonsymmetric and mixed boundary conditions.
   
Author:  V. A. Kot
Keywords:  boundary-value problem, nonstationary heat conduction, analytical methods, approximation, weighted temperature method
Page:  1006