MATHEMATICAL MODELING OF ACOUSTIC PROCESSES: A NUMERICAL AND ANALYTICAL APPROACH

Аннотация

Mathematical modeling of acoustic processes is a cornerstone for solving problems in engineering, medicine, and environmental monitoring. This paper provides a numerical and analytical study of acoustic wave propagation in complex media. Using the finite element method (FEM) and the finite difference method (FDM), we analyze the propagation of sound waves in layered media with different physical properties. Results are validated using numerical simulationsand graphical visualizations,demonstrating the efficiency of theproposed approach. Keywords: acoustic processes, mathematical modeling, wave propagation, finite element method (FEM), numerical simulations.