Australian Journal of Basic and Applied Sciences (1340-1346)..(2009)

**Kamal Al-Dawoud ^{1} and Khomchenko A.N^{2}.**

*Department of mathematics and Statistics, Mutah University – Jorda*

*Department of applied mathematics, Kherson National Technical University – Ukraine ^{2}*

**Abstract**

In this paper, we study the possibility of using geometrical probability for designing Lagrange interpolational polynomials with quadratical and cubical interpolation by the example of functions of one and two arguments. We considered a one-dimensional element (3 nodes), a triangle (6 nodes), a square (9 nodes), and a triangle (10 nodes).

**Keywords:** geometrical probability, Lagrange polynomials, quadratical and cubical interpolation**,** Finite-element method**.**