Excerpt from A Finite Difference Method for the Solution of Free Boundary Problems Free boundary problems are among the most difficult to treat either analytically or numerically. Examples of such problems are found in the occurrence of jets or cavities in classical hydrodynamics, where the location of a portion F of the boundary is unknown. These problems can be formula ted in terms of a stream function w which is the solution of a Dirichlet problem in the flow region of the physical plane. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.