Wave Equations: Vibrating StringExplores the wave equation for a vibrating string and its numerical solution using finite difference formulas and the Newmark scheme in MATLAB/GNU Octave.
Eigen Modes and FrequenciesExplores eigen modes, natural frequencies, and the superposition principle in standing waves on a vibrating string.
Wave Equation StabilityExplores the stability of the wave equation finite difference scheme and resonant excitation.
Wave Equations StabilityExplores resonant shallow water equations, stability analysis, eigenmodes, and clean modes in waves.
Waves and Diffusion: FundamentalsCovers the fundamentals of waves, diffusion, and convection, focusing on the concepts of propagation, initial conditions, and boundary conditions.