Differential Equation - Connection To Difference Equations

Connection To Difference Equations

See also: Time scale calculus

The theory of differential equations is closely related to the theory of difference equations, in which the coordinates assume only discrete values, and the relationship involves values of the unknown function or functions and values at nearby coordinates. Many methods to compute numerical solutions of differential equations or study the properties of differential equations involve approximation of the solution of a differential equation by the solution of a corresponding difference equation.

Read more about this topic:  Differential Equation

Famous quotes containing the words connection and/or difference:

    “The smallest fact about the connection between character and hormonal balance offers more insight into the soul than a five-story idealistic system [of philosophy] does.”
    —Robert Musil (1880–1942)

    “Between the daylight gambler and the player at night there is the same difference that lies between a careless husband and the lover swooning under his lady’s window.”
    —Honoré De Balzac (1799–1850)