In this video, we'll solve a second-order ODE (initial-value problem) using a 4th-order Runge-Kutta method. This method eliminate the need for repeated differentiation of the differential equations (as we saw in higher-order Taylor sries methods). The corresponding Python code is also provided.

Related videos:

Taylor and Maclaurin Series (Expansion) (   • Unlock the Power of Taylor & Maclauri...  )

Euler's Method for Solving IVPs for ODEs (   • How to Solve IVPs for ODEs Using Eule...  )

Higher-order Taylor Series Methods (   • How to Solve IVPs for ODEs Using High...  )

Solve a 2nd Order ODE (Initial Value Problem) using a 4th Order Taylor Series Method (   • Crack 2nd Order ODEs Fast: Solving wi...  )

Heun's Method | Modified Euler's Method | Solving Initial-value Problems (ODEs) (   • Heun's Method Explained: The Step Up ...  )

The Midpoint Method | Modified Euler's Method | Solving Initial-value Problems (ODEs) (   • The Midpoint Method Explained: The St...  )

Runge-Kutta Methods | Ordinary Differential Equations (ODEs) | IVPs) | Numerical Methods (   • Runge-Kutta Methods Unleashed: Simpli...  )

Adaptive Runge-Kutta | Runge-Kutta-Fehlberg | RK45 | Python | Quick Guide for Solving ODEs (   • Adaptive Runge-Kutta | Runge-Kutta-Fe...  )


Please Subscribe to my Channel -

Leave comments for any questions or topics that you would like to see in the future content.

Thanks