PDEs

Partial Differential Equations (PDEs) are mathematical formulas that describe how quantities change over space and time simultaneously. They involve functions and their derivatives, which represent the rates of change. PDEs are used to model complex systems like weather patterns, fluid flow, heat transfer, and structural behavior. Essentially, they help us understand how different factors interact across a region or over time, capturing the dynamic nature of many physical, biological, and engineering phenomena. Solving a PDE provides insights into the behavior of the system being studied, often aiding prediction and analysis.