Programs in Physics & Physical Chemistry
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|Manuscript Title: A REDUCE program for the integration of differential polynomials.|
|Authors: A.H. Bilge|
|Program title: INTEG|
|Catalogue identifier: ACJG_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 71(1992)263|
|Programming language: Reduce.|
|Operating system: DOS 5.0.|
|Keywords: Integration, Conserved densities, Computer algebra.|
Nature of problem:
The study of the conserved densities and symmetries of polynomial evolution equations leads to the integration of polynomial expressions of the derivatives of certain functions. Actually differential polynomials have a unique decomposition as "total derivatives" and "functional differential monomials" and integration means finding this decomposition. This cannot be acheived with the standard packages of symbolic programming languages.
In the program INTEG, integrations by parts are applied iteratively to differential monomials, starting from the ones involving highest derivatives, in such a way that either the order or the nonlinearity of the derivatives in the integrand is strictly decreasing.
The expressions to be integrated should be differential polynomials.
A few seconds to 1-2 minutes.
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