Ordinary Difference Equation

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• Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …   Wikipedia

• equation — /i kway zheuhn, sheuhn/, n. 1. the act of equating or making equal; equalization: the symbolic equation of darkness with death. 2. equally balanced state; equilibrium. 3. Math. an expression or a proposition, often algebraic, asserting the… …   Universalium

• Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …   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

• 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

• Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the …   Wikipedia

• Numerical ordinary differential equations — Illustration of numerical integration for the differential equation y = y,y(0) = 1. Blue: the Euler method, green: the midpoint method, red: the exact solution, y = et. The step size is h = 1.0 …   Wikipedia

• Matrix differential equation — A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation is one containing more… …   Wikipedia

• Stochastic 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… …   Wikipedia

• Cauchy-Euler equation — In mathematics, a Cauchy Euler equation (also Euler Cauchy equation) is a linear homogeneous ordinary differential equation with variable coefficients. They are sometimes known as equi dimensional equations. Because of its simple structure the… …   Wikipedia

• Complex differential equation — A complex differential equation is a differential equation whose solutions are functions of a complex variable. Constructing integrals involves choice of what path to take, which means singularities and branch points of the equation need to be… …   Wikipedia