A difference equation is the discrete analog of a Differential Equation. A difference equation involves a
Function with Integer-valued arguments in a form like
(1) |
(2) |
(3) |
(4) |
See also Finite Difference, Recurrence Relation
References
Difference Equations
Batchelder, P. M. An Introduction to Linear Difference Equations. New York: Dover, 1967.
Bellman, R. E. and Cooke, K. L. Differential-Difference Equations. New York: Academic Press, 1963.
Beyer, W. H. ``Finite Differences.''
CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, pp. 429-460, 1988.
Brand, L. Differential and Difference Equations. New York: Wiley, 1966.
Goldberg, S. Introduction to Difference Equations, with Illustrative Examples from Economics, Psychology, and Sociology.
New York: Dover, 1986.
Levy, H. and Lessman, F. Finite Difference Equations. New York: Dover, 1992.
Richtmyer, R. D. and Morton, K. W. Difference Methods for Initial-Value Problems, 2nd ed. New York:
Interscience Publishers, 1967.