Ordinary Differential Equation Models and their Computation Methods

TL;DR

This paper introduces differential equation models, reviews their computational methods including frequentist and Bayesian approaches, and demonstrates these techniques with a FitzHugh-Nagumo model example.

Contribution

It provides a comprehensive overview of differential equation models and compares different computational methods with a practical numerical example.

Findings

Comparison of frequentist and Bayesian methods

Application to FitzHugh-Nagumo model

Illustration of computational techniques

Abstract

In this article, I introduce the differential equation model and review their frequentist and Bayesian computation methods. A numerical example of the FitzHugh-Nagumo model is given.