METHOD OF BOUNDARY CHARACTERISTICS

A new integral method based on the system of identical equalities of 2n-multiple integrals of the desired temperature function and the corresponding boundary characteristics is presented. This method was used for the approximate solution of problems of a semi-bounded space and a lengthy plate with fi rst-kind boundary conditions. The results obtained show that the integral method of boundary characteristics surpasses the analogous integral methods by several orders of magnitude in accuracy and convergence of approximate solutions. The solutions constructed with this method are exact in essence because the errors in determining parameters in a wide range of their values comprise hundredths and ten-thousands of a percent
   
Author:  V. A. Kot
Keywords:  heat-condition equation, boundary characteristics, disturbance front, heat-balance integral, identical equality, integral method
Page:  1390