Application of Interpolation and Extrapolation of Newton and Cubic Splines to Estimate and Predict the Gas Content of Hydrogen and Iodine in the Formation of Iodic Acid Reactions

The problem that is mostly related to the pattern of experimental time series data is the function that involves the data. Experimental data in the field of exact sciences is very important to conclude a problem. Existing data can form certain functions. In this research, we are looking for a function that represents the gas content of hydrogen and iodine in the reaction of acid iodide formation. This is achieved by using interpolation in which the function interpolates a given group of data points. Interpolation can also be used to evaluate the function at points different from the group. In addition to constructing and evaluating a functions by interpolation, we can also predict experimental data outside the given group of data points by using extrapolation. The results of data extrapolation can be used as an alternative to experimental data, thereby saving time and cost. This research will also compare interpolation and extrapolation of both Newton method and cubic splines, which one better interpolates and extrapolates data on hydrogen and iodine gas content in the reaction of acid iodide formation. The research results show that the cubic spline method is better than Newton method at approaching data, in terms of interpolation, as well as extrapolation.