A Concise Formula for Two Dimensional Divided Differences with Multiple Knots

The well-known formulas for divided differences in the caseof one and two dimensional with multiple knots have played an importantrole in applied mathematics, particularly in numerical analysis,polynomial and lagrange interpolations. in this article we obtain a newformula for two dimensional divided differences in the case of multipleknots. this formula has a simpler form than the known formula givenin literature. it is friendly using for computations and analysis.