DEVELOPMENT OF SOFTWARE FOR THE NUMERICAL SOLUTION OF INVERSE PROBLEMS FOR NONLINEAR EVOLUTIONARY VORTEX EQUATIONS

Mansur Panji o‘g‘li Qurbonov

Surxondaryo Region, Bandikhon District, Secondary School No. 34

Keywords: nonlinear evolutionary equations, inverse problems, numerical methods, vortex dynamics, software development, algorithm optimization


Abstract

This article presents the development of specialized software for solving inverse problems related to nonlinear evolutionary vortex equations using numerical methods. The study focuses on algorithmic modeling, stability analysis, and optimization of computational schemes for determining unknown parameters in complex vortex systems. The proposed software integrates modern programming tools and numerical approximation techniques to improve the accuracy and efficiency of solutions. Experimental results demonstrate that the developed program can successfully handle highly nonlinear inverse problems, offering practical value for applied mathematics, fluid dynamics, and computational physics.


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