Comparison Simulation Analysis of the Gradual Summation of a Function with Recognition of Direct Extrapolation Via IN Series

Stephanus Ivan Goenawan

doi:10.24071/ijasst.v2i1.1969

Abstract

A set of data pattern that have the characteristic of a function can be approached using Newton series simulation. When using the Newton series, the simulation result of the summation of extrapolation data can be gradually done in step by step. However, if using the IN series, the simulation result of the summation of extrapolation data doesn’t need to be gradually done in step by step. The methodology in this research compares the data pattern from the simulation results of the high degree function with the results of interpolation and extrapolation from the results of the IN series simulation. Futhermore, will be carried out comparison simulation analysis of the summation of the function values gradually with the extrapolation function directly using the IN series. The result of comparison simulation analysis point out that the value of the total summation of data between the gradual and the direct summation is the same, so that the direct sum technique using the IN Series is able to make the total sum process more efficient.

Highlights

The IN series, namely Ivan Newton Series, is a further development of the Newton series [1]
An example of the initial polynomial data that will be used for interpolation is to find the values of constants in the IN series in Table 1 derived from the polynomial function equation (11)
P-ISSN 2655-8564, e-ISSN 2685-9432 with a range of abscissa from to, a representation of the polynomial function can be described through Figure 1

Summary

Introduction

The IN series, namely Ivan Newton Series (according to HKI EC00201856522), is a further development of the Newton series [1]. The sum of extrapolation results can later be obtained in a more efficient way, so a new series has been developed, namely Ivan Newton series or abbreviated as IN series [3]. Series is generated from the function basis of multilevel series of in one degree t

Results

Conclusion