Similarity Solutions of Systems of Partial Differential Equations Using Macsyma
Similarity Solutions of Systems of Partial Differential Equations Using Macsyma
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In our eReader you can find the full English version of the book. Read Similarity Solutions of Systems of Partial Differential Equations Using Macsyma Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Similarity Solutions of Systems of Partial Differential Equations Using Macsyma
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This, as explained in [1], is a sufficient but not a necessary condition. The coefficients of the S 's m are differential equations satisfied by the infinitesimal generators (X, T, U); these are the determining equations mentioned earlier. In practice the determining equations usually can be solved easily, as they are an overdetermined set of linear equations. A knowledge of the infinitesimal transformations enables one to construct a continuous transformation or in turn to find the invariants ...of the group that serve as the new de- pendent and independent variable. It is in these new variables that Eqs. (1) exhibit their symruetry and result in a re- duction by one in the number of independent variables.
To illustrate the desirability of using MACSYMA to calcu- late the determining equations, suppose a partial differential equation contains a derivative t — (assume scalar u and x) .
o X In terms of the new variables, the transformed partial differential 3u ' equation contains a term r • But from Eq.
What to read after Similarity Solutions of Systems of Partial Differential Equations Using Macsyma?
You can find similar books in the "Read Also" column, or choose other free books by P Rosenau to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
This, as explained in [1], is a sufficient but not a necessary condition. The coefficients of the S 's m are differential equations satisfied by the infinitesimal generators (X, T, U); these are the determining equations mentioned earlier. In practice the determining equations usually can be solved easily, as they are an overdetermined set of linear equations. A knowledge of the infinitesimal transformations enables one to construct a continuous transformation or in turn to find the invariants ...of the group that serve as the new de- pendent and independent variable. It is in these new variables that Eqs. (1) exhibit their symruetry and result in a re- duction by one in the number of independent variables.
To illustrate the desirability of using MACSYMA to calcu- late the determining equations, suppose a partial differential equation contains a derivative t — (assume scalar u and x) .
o X In terms of the new variables, the transformed partial differential 3u ' equation contains a term r • But from Eq.
What to read after Similarity Solutions of Systems of Partial Differential Equations Using Macsyma?
You can find similar books in the "Read Also" column, or choose other free books by P Rosenau to read onlineMoreLess
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