Partial Differential Equation

A partial differential equation (PDE) is a type of mathematical equation that involves functions of multiple variables and their rates of change. It describes how a quantity changes in space and time simultaneously, often used to model natural phenomena like heat distribution, fluid flow, or wave motion. Unlike ordinary differential equations, which involve a single variable, PDEs account for the complex interactions across multiple dimensions, helping us understand and predict systems where variation occurs in more than one direction or over time.