# Difference Equations

Chapter

## Abstract

This chapter is a summary of the elementary methods available for solving difference equations. Difference equations are used to compute quantities which may be defined recursively, such as the nth coefficient of a Taylor series or Fourier expansion or the determinant of an *n* × *n* matrix which is expanded by minors. Difference equations arise very frequently in numerical analysis where one attempts to approximate continuous systems by discrete ones.

## Keywords

Difference Equation Independent Solution Inhomogeneous Equation Linear Difference Equation Nonlinear Difference Equation
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## References

## Chapter 2 General references on difference equations

- 13.Hildebrand, F. B.,
*Methods of Applied Mathematics*, chap. 3, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1952.zbMATHGoogle Scholar - 14.Milne-Thomson, L. M.,
*The Calculus of Finite Differences*, Macmillan and Co., London, 1953. Also see Ref. 3.Google Scholar

## Copyright information

© Springer Science+Business Media New York 1999