Partial Differential Equations

Definition

Partial differential equations (PDEs) are mathematical equations that involve multiple variables and their partial derivatives. They describe various physical phenomena such as heat conduction, wave propagation, and fluid flow.

Related terms

Ordinary Differential Equations (ODEs): ODEs involve only one independent variable and its derivatives, describing relationships between functions rather than multiple variables.

Boundary Conditions: Boundary conditions are additional constraints applied to PDEs that specify values or behaviors at certain boundaries or interfaces within the problem domain.

Initial Conditions: Initial conditions are specific values assigned to variables in PDEs that determine their starting states before any further changes occur.