Fast Interpolating Spline for Diurnal Temperature Patterns

Abstract

Authors: Uchechi Ezere, Chijioke Oriaku and Ozochi Akwuegbu

The monthly maximum and minimum data describing monthly variation in temperature in the city of Owerri between 2010 and 2019 were collected and applied for the evaluation of the diurnal temperature range (DTR). The results were useful for the derivation of models for the prediction of the amount of DTR for subsequent months through interpolation analysis of DTR change. The best-fitted model was the cubic spline interpolation model and was used to interpolate between known data points due to its stable and smooth characteristics for the intervals in the selected years. The month of June 2010 and 2019 was left missing and interpolated with percentage error results of 2.0444% and 12.2694% respectively. The study revealed that the interpolated results were consistent with the yearly data while the observed percentage error fell in a good and commendable range.