IMPLEMENTASI ENSEMBLE KALMAN FILTER PADA METODE RUNGE-KUTTA UNTUK PERBAIKAN SOLUSI NUMERIK PERSAMAAN DIFERENSIAL BIASA

Abstract

Solving differential equations numerically means calculating the value of a function on a variable value using an estimation method or approach. The second order Runge-Kutta is one of a numerical method for solving ordinary differential equations. Each method of aproximation will always generate an error, where each method will generate a different error. Whereas the Ensemble Kalman Filter (EnKF) method or technique is a method that optimizes an estimate using assimilation of measurement data. This paper shows that the implementation of the EnKF technique in the second order Runge-Kutta method can correct errors quite well.