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 connection between dress and war is not far to seek; your finest clothes are those you wear as soldiers.
    Virginia Woolf (1882–1941)

    The most dangerous aspect of present-day life is the dissolution of the feeling of individual responsibility. Mass solitude has done away with any difference between the internal and the external, between the intellectual and the physical.
    Eugenio Montale (1896–1981)