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A fast solution technique for a class of linear partial differential equations

โœ Scribed by Michael L. Michelsen

Publisher
Elsevier Science
Year
1979
Weight
486 KB
Volume
18
Category
Article
ISSN
0300-9467

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An algorithm to generate solutions for members of a class of completely integrable partial differential equations has been derived from a constructive proof of Frobenius' Theorem. The algorithm is implemented as a procedure in the computer algebra system Maple. Because the implementation uses the fa

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## Abstract In this article we present the solution of linear partial differential equations of the form โˆ‚~__t__~__f__ = Lฬ‚__f__, for initial value problems. Also the solution of some diffusion equations will be discussed.