Fitting Differential Equations to Time Series Data
Initialize model Judgement variables and so on.
Draw the diagram of differential equation
Center the data according to model
Solver of bivariate first-order differential equation
Solver of Multilevel bivariate first-order differential equation
Solver of Multilevel univariate second-order differential equation
Solver of univariate second-order differential equation
Fitting Differential Equations to Time Series Data
Calculate R-squared RMSE SE and so on.
Calculating the Derivatives
Use numerical optimization to fit ordinary differential equations (ODEs) to time series data to examine the dynamic relationships between variables or the characteristics of a dynamical system. It can now be used to estimate the parameters of ODEs up to second order, and can also apply to multilevel systems. See <https://github.com/yueqinhu/defit> for details.