Abstract

This article investigates the development of a digital model of the relief of the Achchiksoy basin, located in the territory of the Kyzylcha Rural Settlement of the Dehkanabad district of the Kashkadarya region, and the determination of its morphometric parameters. The study examines the method of mathematical modeling of the topographic surface of the Achiksai River basin territory based on reference points. In forming the digital model of the basin's relief, approaches to topographic surface discretization, the use of interpolation functions, and the formation of mathematical expressions based on elevation features were utilized. Based on the proposed mathematical expression, a numerical experiment was conducted on the experimental parameters of the Achiksai River basin and a digital model of its relief was developed. The results obtained allow for the assessment of the relief features of the Achchiksoy River basin, the determination of morphometric parameters, and their use in research related to the effective use of water resources in the region.

Keywords
Achchiksoy Achchiksoy basin relief digital relief model DEM morphometric parameters topographic surface mathematical modeling interpolation elevation marks numerical experiment.