Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aeog_v1_0.tar.gz(180 Kbytes)|
|Manuscript Title: ASP: Automated Symbolic Computation of Approximate Symmetries of Differential Equations|
|Authors: G. Jefferson, J. Carminati|
|Program title: ASP|
|Catalogue identifier: AEOG_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 184(2013)1045|
|Programming language: MAPLE internal language.|
|Computer: PCs and workstations.|
|Operating system: Linux, Windows XP and Windows 7.|
|RAM: Depends on the type of problem and the complexity of the system (small ≈ MB, large ≈ GB)|
|Word size: Supports 32 and 64 bit platforms|
|Keywords: Classical and approximate symmetries, Symbolic computation.|
|PACS: 02.30.J, 02.02.S, 02.70.|
|Classification: 4.3, 5.|
Nature of problem:
Calculates approximate symmetries for differential equations using any of the three methods as proposed by Baikov, Gazizov and Ibragimov [1,2], Fushchych and Shtelen  or Pakdemirli, Yürüsoy and Dolapci . Package includes an altered version of the DESOLVII package (Vu, Jefferson and Carminati ).
See Nature of problem above.
Sufficient memory may be required for large systems.
Depends on the type of problem and the complexity of the system (small ≈ seconds, large ≈ hours).
|||V. A. Baikov, R.K. Gazizov, N.H. Ibragimov, Approximate symmetries of equations with a small parameter, Mat. Sb. 136 (1988), 435-450 (English Transl. in Math. USSR Sb. 64 (1989), 427-441).|
|||N.H. Ibragimov (Ed.), CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 3, CRC Press, Boca Raton, FL, 1996.|
|||W. I. Fushchych, W.H. Shtelen, On approximate symmetry and approximate solution of the non-linear wave equation with a small parameter, J. Phys. A: Math. Gen. 22 (1989), 887-890.|
|||M. Pakdemirli, M. Yürüsoy I. T. Dolapci, Comparison of Approximate Symmetry Methods for Differential Equations, Acta Applicandae Mathematicae 80 (2004), 243-271.|
|||K. T. Vu, G. F. Jefferson, J. Carminati, Finding generalised symmetries of differential equations using the MAPLE package DESOLVII, Computer Physics Communications 183 (2012), 1044-1054.|
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