| Autor: |
Aliyev, A. A., Kazimov, J. K., Aliyev, A. Y., Bagirova, S. A., Kravets, O. Ja. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2021, Vol. 2402 Issue 1, p1-6, 6p |
| Abstrakt: |
The work contains an approximate solution of the Tricomi problem for linear differential equations of mixed type in the study of the supersonic jet flow in material science and aerospace technology. In this work, a computational scheme is given for solving the Tricomi problem arising in the theory of infinitesimal bendings of surfaces, in the theory of transonic gas dynamics, in problems of electrostatics and mechanical engineering, hydromechanics of a compressible fluid, momentless theory of shells, in mathematical modeling of various processes and phenomena in media with a fractal structure and many other questions of mechanics. Using the minimum principle for mixed-type linear differential equations, two constrained minimization problems are constructed. Solving them with the help of linear programming, we find an approximate solution to the problem and the error of the method is estimated. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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