- Abstract Algebra (3)
- Representation Theory (1)
- Ring Theory
- Algebra (51)
- Algebraic Geometry (2)
- Analytic Geometry (1)
- Applied Mathematics (202)
- Arithmetic (6)
- Calculus (112)
- Differential Calculus (69)
- Differential Equations (41)
- Integral Calculus (64)
- Limits (19)
- Multivariable Calculus (131)
- Precalculus (3)
- Tensor Calculus (1)
- Vector Calculus (1)
- Chaos Theory (1)
- Combinatorics (1)
- Polynomial Method (1)
- Complex Analysis (4)
- Complex Numbers
- Differential Geometry (3)
- Functional Analysis (2)
- Geometry (5)
- Fractals
- Non-Euclidean Geometry (2)
- Group Theory
- Lie Groups (2)
- History of Math (59)
- Linear Algebra (6)
- Mathematical Logic
- Set Theory (1)
- Mathematical Modeling
- Mathematics Education (11)
- Number Theory (1)
- Elliptic Curves (1)
- Quaternions
- Numerical Analysis (2)
- Partial Differential Equations (5)
- Probability (41)
- Queueing Theory
- Stochastic Process (2)
- Real Analysis (5)
- Recreational Mathematics
- Math Games
- Math Puzzles
- SAT Math (52)
- Statistics (49)
- Linear Models
- Stochastic Calculus
- Topology (5)
- K-theory (1)
- Point-Set Topology
- Trigonometry (18)

# Topics: Partial Differential Equations

### Partial Differential Equations

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalized similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalization in stochastic partial differential equations.

Navier–Stokes differential equations used to simulate airflow around an obstruction.

added 3 years ago
Start Course

added 3 years ago
Start Course

added 3 years ago
Start Course

added 3 years ago
Start Course

added 3 years ago
Start Course

Showing 5 of 5 courses. See All