partial differential equation
11Dispersive partial differential equation — In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion means that waves of different wavelength propagate at different phase velocities.… …
12Separable partial differential equation — A separable partial differential equation (PDE) is one that can be broken into a set of separate equations of lower dimensionality (fewer independent variables) by a method of separation of variables. This generally relies upon the problem having …
13differential equation — n. Math. any equation containing a derivative: such an equation is called an ordinary differential equation if it has only one independent variable and a partial differential equation if it has more than one independent variable …
14Stochastic partial differential equation — Stochastic partial differential equations (SPDEs) are similar to ordinary stochastic differential equations. They are essentially partial differential equations that have additional random terms. They can be exceedingly difficult to solve.… …
15Differential 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… …
16differential equation — Math. an equation involving differentials or derivatives. [1755 65] * * * Mathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by… …
17differential equation — noun an equation containing differentials of a function (Freq. 7) • Hypernyms: ↑equation • Hyponyms: ↑Maxwell s equations, ↑partial differential equation, ↑Schrodinger equation, ↑Schrodinger wave equation, ↑ …
18differential equation — noun Date: 1763 an equation containing differentials or derivatives of functions compare partial differential equation …
19Stochastic differential equation — A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, thus resulting in a solution which is itself a stochastic process. SDE are used to model diverse phenomena such as… …
20ordinary differential equation — Math. an equation containing derivatives but not partial derivatives. Cf. partial differential equation. * * * Equation containing derivatives of a function of a single variable. Its order is the order of the highest derivative it contains (e.g …
