Nour, BourenaneSupervisor: Abdelmouhcene, Sengouga2025-07-072025-07-072024-06-10https://repository.univ-msila.dz/handle/123456789/46728In this study, we examine the one-dimensional and two-dimensional wave equations in time-dependent domains. We derive the wave equation using Hamilton’s principle. Then, we employ the method of separation of variables to solve the equation. We also consider the case with interior linear damping.enWave equationtime-dependent domainsseparation of variables methoddampingOn the Vibrations of Traveling Strings and MembranesThesis