Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Siberian participants

Analytical solution of three-dimensional equation in partial derivatives of the first order

Yakimov A.S.

Tomsk state university system control and radio-electronic (Tomsk)

Under mathematical modeling of problems of flowing around (nonviscous, viscous) tel appears a problem of solutiong the equations of conservation of mass, amounts move-thread and energy. The can be equations Eiler or Navie-Stoks. For solutioning a multivariate parabolic equation [1] there is row the numerical methods of integrating (review in [2]). However practically little numerical methods [1, 3], which generalise on the three-dimensional event and can equally solution equations in private derived first and second order.
In proposed work on the base of operating calculus [4] have been obtained ahalytical formula for the three-dimensional sing-line equation of carrying. Test examples on trial functions have shwon correctness of propouse algorithm and its advantage in contrast wtis numerical technology [3].

References

Yanenko N.N. Method of fractional steps of solutioning the multivariate problem mathematical physic. Science, Novosibirsk, 1967.
Marchuk G.I. Methods of fission. Science, M., 1988.
Grishin A.M. Yakimov A.S. On one method of solutioning some three-dimensional equations in prived //Computing techologies. v.5, n 5, 2000, 38 - 52.
Ditkin V.A., Prudnikov A.P. Operating calculus. Hiah school, M., 1975.

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Note. Abstracts are published in author's edition

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