ON A MATHEMATICAL MODEL OF NONSTATIONARY WATER MOTION IN THE KUBAN RIVER STATION

Vandina Natalya Valeryevna, Postgraduate student, Stavropol State University , vandina-n-v@rambler.ru
Kozlov Vladimir Anatolyevich, Candidate of physico-mathematical sciences, associate professor, head of sub-department of mathematical analysis, Armavir State Pedagogical University, shagin196@yandex.ru
Palandzhyants Levon Zhirayrovich, Candidate of physico-mathematical sciences, associate professor, sub-department of higher mathematics and system analysis, Maykop State Technological University, levonmgtu@rambler.ru

532.5.013

Riccati equation which has arisen from Saint-Venant equation system describing fluid motion in open channels is considered. The investigated equation is reduced to linear differential second-order equation, and then the methods of the theory of multiplicate integral are applied. The qualitative behavioral research of integral curves is constructed. Numerical methods confirm the received results.

Saint-Venant equation system, Riccati equation, fundamental matrix, qualitative investigation, numerical methods.