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Symbolic Solutions for a Class of Partial Differential Equations

✍ Scribed by BRAM DE JAGER; BRAM VAN ASCH

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
506 KB
Volume
22
Category
Article
ISSN
0747-7171

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✦ Synopsis

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 facilities of Maple for solving sets of ordinary differential equations and for sets of nonlinear equations, and these facilities are limited, the problems that actually can be solved are restricted in size and complexity. Several examples, some derived from industrial practice, are presented to illustrate the use of the algorithm and to demonstrate the advantages and shortcomings of the implementation.

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