Author: Jonqobilov, J.T.

Annotation: This article discusses the mathematical model of the wave equation, its physical meaning, and its applications in various fields. The wave equation is a second-order partial differential equation that describes the propagation of energy in an elastic medium. The paper analyzes the d’Alembert solution, standing waves, and boundary conditions. Additionally, real-world applications of the wave equation—such as string vibrations, acoustic processes, electromagnetic waves, water surface waves, and seismic modeling—are described in detail. The article explains wave phenomena from a mathematical perspective and highlights their practical significance.

Keywords: wave equation, Dalembert solution, partial differential equations, acoustics, electromagnetic waves, seismic processes.

Pages in journal: 920 - 924