M. Debruyne et A. Merlen, A CRITICAL APPROACH TO THE METHOD OF INTE GRAL RELATIONS - THE CASE OF DORODNITSYNS - PROBLEM OF CONVERGENCE, Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre, 317(10), 1993, pp. 1269-1274
It is shown that Dorodnitsyn's MIR is less accurate than the published
results let suppose (Dorodnitsyn, 1962). The modified method (Debruyn
e, 1993) is extended to the four-strips case and gives better results
than the initial method. On the Falkner-Skan test case, numerical conv
ergence is obtained when the number of strips is increased. Neverthele
ss, the numerical solution differs from the analytical one for a funda
mental reason which raises questions on the validity of the method.