“difference equations”的概念、定义、翻译、参考文献-科学参考

difference equations

Computer

单词	difference equations
释义	difference equations Computer Equations that have the same general form as recurrence relations; however, the term also refers to situations in which the solution is not determined recursively from initial conditions. Difference equations play a large part in numerical computation. The equations are sometimes expressed in terms of differences of function values rather than function values themselves. The standard difference representations are: forward difference, $Δ f (x) = f (x + h) - f (x)$ backward difference, $Δ f (x) = f (x) - f (x - h)$ central difference, $δ f (x) = f (x + \frac{1}{2} h) - f (x - \frac{1}{2} h)$ Difference equations arise in the application of the finite-difference method.
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