HIGH ACCURACY DIFFERENCE SCHEME FOR THE EQUATION OF DYNAMICS OF COMPRESSIVE STRATIFIED ROTATING FLUID

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Yevrosiyo matematik nazariya va kompyuter fanlari jurnali
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Выпуск: Том 4 № 2 : Евразийский журнал математической теории и компьютерных наук
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Karakalpak State University named after Berdakh, Nukus, Uzbekistan,
dutebaev_56@mail.ru
Karakalpak State University named after Berdakh, Nukus, Uzbekistan,
qazimbetovamuxabbad@gmail.com

Аннотация:

Difference schemes of the finite difference method of high-order accuracy for the sixth-order Sobolev-type equation are constructed and investigated. In particular, the first boundary value problem for the wave equation of a compressible stratified rotating fluid is considered. First, approximation is performed only in spatial variables by the finite difference method, and the resulting system of high-dimensional ordinary differential equations is also approximated by this method. Using the method of energy inequalities, a priori estimates were obtained and, on their basis, theorems on the stability and convergence of the constructed difference schemes were proven; accuracy estimates were obtained for sufficient smoothness of the solution to the original initial boundary value problem. An algorithm for implementing difference schemes is proposed.

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Utebaev, D., & Kazimbetova, M. (2024). HIGH ACCURACY DIFFERENCE SCHEME FOR THE EQUATION OF DYNAMICS OF COMPRESSIVE STRATIFIED ROTATING FLUID. Евразийский журнал математической теории и компьютерных наук, 4(2), 16–24. извлечено от https://in-academy.uz/index.php/EJMTCS/article/view/27588

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