A study on the Application of Lagrange Interpolation to the Estimations of Gas Production Based over Time

Abstract

In this study, Lagrange interpolation which could be an alternative modeling passing throughout exactly all data points with respect to linear or nonlinear models was applied to the experimental data, the findings of gas production based over time. After getting Lagrange interpolation, extremum points, turning points (if exists) could be found. Also for some intermediate level, its estimate values could be found. Furthermore, for a desired result value, its intermediate level could be estimated. The graphs of Lagrange interpolation were given. The standard errors with confidence level 95% of the values mentioned above could be estimated by using Lagrange interpolation technique. The graphs of standard errors were given. In addition, missing data values can be estimated and compared with observation value.