A New 3-Dimensional Polynomial Interpolation Method: An Algorithmic Approach

A new 3-dimensional interpolation method is introduced in this paper. Corresponding to the method a novel interpolation operator has been constructed and used to obtain results. The main objective is to develop a mechanical way of interpolation that does not require very high degree of knowledge of mathematical analysis, but only elementary mathematics. The properties of the operator have been discussed in detail. Unlike other methods, the number of nodes required in the proposed interpolation method is much less. A numerical example is also furnished in support of the formula obtained.