Study of Wave Equation

Abstract

The aim of this memory is to study some physical problems related to wave equations. These wave phenomena appear in numerous applications such as: sound waves and electromagnetic waves... In the first chapter, we recalled some definitions and properties of PDEs, as well as some generalities that we used in the following chapters. The second chapter was devoted to solving the wave equation, where we presented three methods of resolution, namely the D'Alembert method, the Fourier method and the Kirchhoff method. Finally, and through the last chapter, we have proposed a numerical solution of the equation in question via the finite difference method.