Partial Differential Equation

Definition

A partial differential equation is an equation that relates a function of multiple variables to its partial derivatives. It involves the rates of change of the function with respect to each variable.

Related terms

Ordinary Differential Equation: An ordinary differential equation relates a function to its derivatives with respect to a single independent variable.

Boundary Conditions:

Boundary conditions are additional equations or constraints that specify values or behaviors at the boundaries or edges of a system described by a partial differential equation.

Initial Conditions: Initial conditions are specific values or behaviors assigned to variables in a system described by a partial differential equation at an initial point in time or space.