Difference Operator
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A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences plays a central role in finite difference methods for the numerical analysis|numerical solution of differential equations, especially boundary value problems. Recurrence_relation#Relationship_to_difference_equations_narrowly_defined|Recurrence relations can be written as difference equations by replacing iteration notation with finite differences.
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