Abstract
This study discusses the application of two cubic spline i.e. natural and not-a-knot end boundary conditions to visualize and predict the rainfall data. The interpolation and the analysis of the rainfall data will be done on a monthly basis by using the MATLAB software. The rainfall data is obtained from Malaysia Meteorology Department for Ipoh and Petaling Jaya in year 2014 and 2015. The interpolating curves are then being compared and if there is any negative value on the interpolating curve on some sub-interval, that part will be replaced by using the Piecewise Cubic Hermite Interpolating Polynomial (PCHIP). We discuss the missing data imputation by using both splines.
Highlights
Since Malaysia is located near the equator, there are always climate change such as hot and rainy season throughout the year
The collection of data is done by the Meteorology department in the respective states and these data can be interpolated so that the amount of the rainfall for the month can be calculated and predicted
A rainfall data monitoring is being done by the Meteorology department in each state so that the rainfall can be observed for a specific period
Summary
There are many variants of cubic spline interpolation [6]. The two most common are cubic spline interpolation with natural and not-a-knot end conditions. 1 and 2 show the example of natural, not-a-knot spline and PCHIP for data given in Tables 1 and 2 respectively
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