difference equation

"Difference equations" are essential in modeling discrete-time systems across various fields like economics, population dynamics, and signal processing.

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Definition

C1Mathematics

(technical, academic)A mathematical formula that defines the relationship between successive values of a function of a discrete variable.

Example

  • The difference equation y_{n+1} = 0.3y_n + 1000 models a system where the next value depends on 30% of the current value plus a constant.

C1Time Series Analysis

(technical, academic)A recursive relation that defines a sequence in terms of its previous terms.

Example

  • Economists use difference equations to forecast future values based on past data.

Similar

Terms that have similar or relatively close meanings to "difference equation":

time differential