Numerical simulation of the inverse problem for the vortex-current equation
Chori NormurodovDepartment of Applied Mathematics and Informatics, Termez State University, Termez city 190100, UzbekistanErkin KholiyarovDepartment of Informatics and Information Technology Pedagogical Institute of Termez State University, Termez city 190111, UzbekistanKomiljon GulomkodirovDepartment of Applied Mathematics and Informatics, Termez State University, Termez city 190100, UzbekistanNasiba DjurayevaDepartment of General Mathematics Pedagogical Institute of Termez State University, Termez city 190111, Uzbekistan
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Annotatsiya
The article discusses the numerical modeling of the inverse problem of determining the kinematic viscosity for the vortex-current equation. To solve this differential problem, the least squares method is used, and the problem under study is reduced to finding the minimum of the functional. The formulation of the direct and inverse problems is presented. The inverse problem is approximated by finite differences and is solved by the sweep method. A computational experiment has been carried out illustrating the reconstruction of the value of the kinematic viscosity for the inverse problem at different values of the error level.
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