ABSTRACT

Numerical analysis is the field of mathematics that studies the methods of approximation used in the solution of mathematical problems. Numerical methods on the other hand refer to the computerized solution of the problems of numerical analysis. Interpolation and curve-fitting are numerical techniques by which estimate the unknown value of a function at a given point using known values at other points. Interpolation and curve fitting are core topics of the calculus. The methods and techniques developed in interpolation are also applied to solving problems in differentiation and integration. The simplest, and perhaps the most used, curve fitting technique is called linear interpolation. The scheme is based on the assumption that unknown values of a function can be reasonably approximated by assuming that two closely located points on the curve are connected by a straight line.