APPLICATION OF WATERLOO MAPLE 9.5 AND WOLFRAM MATHEMATICA 5.1 SOFTWARE FOR ANALYTIC SOLVING OF CERTAIN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF PHYSICS

Authors

  • Łukasz T. Stępień Pedagogical University in Krakow

DOI:

https://doi.org/10.7494/csci.2008.9.3.147

Keywords:

nonlinear partial differential equations, analytic solutions, exact solutions, Navier-Stokes equation, Monge-Ampere equation, steady isentropic flow equation

Abstract

In the current paper some applications of the packet MAPLE (v. 9.5) for analytic solving ofcertain nonline partial differential equations have been presented. Additionally, for graphicpresentation of the found solutions packet MATHEMATICA (v. 5.1) has been applied.

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Author Biography

Łukasz T. Stępień, Pedagogical University in Krakow

Department of Computer Sciences and Computer Methods

References

Bai C. L., Zhao H., Han J. G.: Czech. J. Phys., 56, 237 (2006)

Fushchich W. I., Shtelen W. M., Serov N. I., Symmetry analysis and exact solutions of equations of nonlinear mathematical physics, Kluwer Academic Publishers,

J. Gibbon: The Interaction of Spin Waves in Liquid He3 in Several Dimensions. [in:] Solitons and Condensed Matter Physics, Editors: A. R. Bishop, T. Schneider, Springer-Verlag 1978

Polyanin A. D., Zaitsev V. F.: Handbook of nonlinear partial differential equations Chapman & Hall/CRC 2004, p. 616

Sokalski K., Stępień Ł. T., Sokalska D.: J. Phys. A: Math. Gen., 35, (1) 6157 (2002)

Sokalski K., Wietecha T., Sokalska D.: J. Nonl. Math. Phys., 12, 31 (2005)

Ł. T. Stępień: Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications. A talk delivered during the conference. Special Functions, Information Theory and Mathematical

Physics An interdisciplinary conference in honor of Prof. Jes´us S. Dehesa’s 60th birthday Sept 17–19 th 2007, Granada, Spain (an extended version of this talk is to be appeared in a special issue of J. Comp. Appl. Math.)

Ł. T. Stępień, work in progress

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Published

2013-04-20

How to Cite

Stępień, Łukasz T. (2013). APPLICATION OF WATERLOO MAPLE 9.5 AND WOLFRAM MATHEMATICA 5.1 SOFTWARE FOR ANALYTIC SOLVING OF CERTAIN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF PHYSICS. Computer Science, 9(3), 147. https://doi.org/10.7494/csci.2008.9.3.147

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