INTEGRAL METHOD OF BOUNDARY CHARACTERISTICS: THE DIRICHLET CONDITION. ANALYSIS

摘要

Results of a numerical analysis of the integral method of boundary characteristics (IMBCh) formulated in the generalized system of coordinates with the Dirichlet condition are presented. It is shown by the example of a number of test problems that, as regards the accuracy and convergence of approximate solutions, this method exceeds by an order or several orders of magnitude the known methods based on the consideration of the disturbance front. An analysis of the accuracy of approximation and convergence of solutions showed that the solutions constructed be means of this method are exact, since an error for a wide range of values of the problem parameters amounts to hundreds-tens of thousands percent.