parabolic differential equation

См. также в других словарях:

• Parabolic 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 …   Wikipedia

• Differential 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… …   Wikipedia

• Partial 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… …   Wikipedia

• partial 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… …   Universalium

• Hyperbolic 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 …   Wikipedia

• Équation 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… …   Wikipédia en Français

• parabolic equation —       any of a class of partial differential equations arising in the mathematical analysis of diffusion phenomena, as in the heating of a slab. The simplest such equation in one dimension, uxx = ut, governs the temperature distribution at the… …   Universalium

• Parabolic cylinder function — In mathematics, the parabolic cylinder functions are special functions defined as solutions to the differential equation:frac{d^2f}{dz^2} + left(az^2+bz+c ight)f=0.This equation is found, for example, when the technique of separation of variables …   Wikipedia

• Differential variational inequality — In mathematics, a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity problems. DVIs are useful for representing models involving both… …   Wikipedia

• Parabolic 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… …   Wikipedia

• Parabolic coordinates — are a two dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three dimensional version of parabolic coordinates is obtained by rotating the two dimensional system about the symmetry axis of the… …   Wikipedia