PDE
Units & Measurements abbreviation · Math
| Stands for | Partial differential equation |
|---|---|
| Categories | Units & Measurements |
PDE stands for Partial differential equation, a math abbreviation.
An equation involving partial derivatives of a function of several variables, such as position and time. The heat equation, wave equation, Schrödinger equation and Navier-Stokes equations are all PDEs.
Example: Heat flow in the rod is governed by the PDE u_t = k u_xx.
Usage notes
Whether smooth solutions to the three-dimensional Navier-Stokes equations always exist is one of the Clay Mathematics Institute's Millennium Prize Problems, carrying a $1 million prize. PDEs are classified as elliptic, parabolic or hyperbolic and are usually solved numerically with finite difference or finite element methods.
Related abbreviations
More math abbreviations
- MVT – Mean value theorem
- N – Natural numbers
- nCr – Combinations (n choose r)
- nPr – Permutations
- ODE – Ordinary differential equation
- pct – Percent
- PEMDAS – Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
- Pf – Proof
- Q – Rational numbers
- QED – Quod erat demonstrandum (which was to be demonstrated)
- R – Real numbers
- Re – Real part