Similarity Solutions of Systems of Partial Differential Equations Using Macsyma (Classic Reprint)

Download or read book Similarity Solutions of Systems of Partial Differential Equations Using Macsyma (Classic Reprint) written by P. Rosenau and published by Forgotten Books. This book was released on 2016-09-27 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Similarity Solutions of Systems of Partial Differential Equations Using Macsyma Here we introduce the use of the algebraic computing system macsyma to facilitate these calculations. Specifically, macsyma is used to calculate systematically the generators of the infinitesimal group under which the considered equations are invariant. As far as the Operational side of the similarity method is concerned, this is the most involved and tedious step. Once the general similarity group is found, a (hopefully non trivial) subgroup is found which leaves invariant boundary curves and boundary conditions. Finally, once this subgroup is found, its invariants and consequently the similarity forms of the solutions of the partial differential equations can be found. 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.