New Formula of Linear Interpolation

Abstract

In this paper we have developed the method of Linear Interpolation which is considered the simplest way of the interpolation methods. We have been able to deduct a new interpolation formula that termed (New Formula of linear Interpolation). It has been proved, through the new formula that the results obtained are more accurate than the results obtained by using the Linear Interpolation. Moreover there is no need to reduce the value of (h) to have a good approximate value.For comparison purposes, other methods were used like: Lagrange Interpolation, Taylor Interpolation and Linear Interpolation.On the other hand, the researchers have used the Law of Error of interpolation.