PENYELESIAN FUNGSI-FUNGSI HASIL INTERPOLASI DENGAN METODE SECTON MENGGUNAKAN PROGRAM R; SOLUTION OF INTERPOLATION FUNCTIONS WITH SECTON METHOD BY USING R PROGRAM

Fitriany, Rizki, Nur Rokhman

2015 | Skripsi | FMIPA

One implementation of Basic Mathematical Sciences and Computer Science is interpolation. Interpolation is basically the process of finding and counting the value of a function whose graph passes through a given set of points. Those points can be the result of experiments in a trials, or obtained from known function. In the real world, interpolation can be used to estimate a function that is not defined by a formula, but it is defined only by the data or tables. Newton's method is usually used to solve non-linear equations systems. However, this method has a drawback because it requires derivative of the system. Secton method combines the Newton and Secant method, so there are no longer a derivative of the system. Result of experiments with methods secton has a value that is almost the same as Newton's method generates an error even smaller than Newton's method. In this paper will be implemented secton method to solve interpolation functions using the R program. The results obtained after implementation is that the method secton can complete function polynomial interpolation, Spline, and linear or constant that exist in the R Program.

Kata Kunci : interpolation; Newton's method; secant method, Method secton; R