Derivation of the 1D Wave Equation

In this video, we derive the 1D wave equation. This partial differential equation (PDE) applies to scenarios such as the vibrations of a continuous string. This video focuses on the derivation of the governing PDE only, other videos in this series discuss how to solve this PDE. Additional videos in this series: -Introduction to Partial Differential Equations (   • Introduction to Partial Differential ...  ) -Standing Waves Demonstration (   • Standing Waves Demonstration  ) -Derivation of the 1D Wave Equation (   • Derivation of the 1D Wave Equation  ) -Solving the 1D Wave Equation (   • Solving the 1D Wave Equation  ) -Heat Transfer Demonstration (   • Heat Transfer Demonstration  ) -Derivation of the Heat Equation (   • Derivation of the Heat Equation  ) -Solving the 1D Heat Equation (   • Solving the 1D Heat Equation  ) -Derivation and Solution of Laplace’s Equation (   • Derivation and Solution of Laplace’s ...  ) -Derivation of the 2D Wave Equation (   • Derivation of the 2D Wave Equation  ) -Solving the 2D Wave Equation (   • Solving the 2D Wave Equation  ) -Numerically Solving Partial Differential Equations (   • Numerically Solving Partial Different...  ) Associated videos on software tools relevant to PDEs include: -Creating Movies and Animations in Mathematica (   • Creating Movies and Animations in Mat...  ) -Creating Movies and Animations in Matlab (   • Creating Movies and Animations in Matlab  ) You can see all the videos related to partial differential equations at    • Partial Differential Equations  

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