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Similarity Solutions of Systems of Partial Differential Equations Using Macsyma (Classic Reprint) - Hardcover
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.
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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.
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.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 0666836922
- ISBN 13 9780666836922
- BindingHardcover
- Number of pages32
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