parabolic partial differential equation
1Parabolic partial differential equation — A parabolic partial differential equation is a type of second order partial differential equation, describing a wide family of problems in science including heat diffusion and stock option pricing. These problems, also known as evolution problems …
2Hyperbolic partial differential equation — In mathematics, a hyperbolic partial differential equation is usually a second order partial differential equation (PDE) of the form :A u {xx} + 2 B u {xy} + C u {yy} + D u x + E u y + F = 0 with: det egin{pmatrix} A B B C end{pmatrix} = A C B^2 …
3Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …
4partial differential equation — Math. a differential equation containing partial derivatives. Cf. ordinary differential equation. [1885 90] * * * In mathematics, an equation that contains partial derivatives, expressing a process of change that depends on more than one… …
5Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …
6List of nonlinear partial differential equations — In mathematics and physics, nonlinear partial differential equations are (as their name suggests) partial differential equations with nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and… …
7Équation aux dérivées partielles — En mathématiques, plus précisément en calcul différentiel, une équation aux dérivées partielles (EDP) est une équation dont les solutions sont les fonctions inconnues vérifiant certaines conditions concernant leurs dérivées partielles. Une EDP a… …
8Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …
9Parabolic cylindrical coordinates — are a three dimensional orthogonal coordinate system that results from projecting the two dimensional parabolic coordinate system in theperpendicular z direction. Hence, the coordinate surfaces are confocal parabolic cylinders. Parabolic… …
10Convection–diffusion equation — The convection–diffusion equation is a parabolic partial differential equation combining the diffusion equation and the advection equation, which describes physical phenomena where particles or energy (or other physical quantities) are… …
