Full Tutorial on Computational Mindset
A comprehensive tutorial on this topic is available on Computational Mindset. The article walks through solving ordinary differential equations numerically using the boost::odeint library in C++17, covering three problem classes: first-order scalar ODEs, coupled systems expressed as state vectors, and second-order ODEs reduced to first-order form via auxiliary variables. The integration relies on the Dormand-Prince RK45 adaptive stepper (dopri5), which automatically adjusts step sizes to keep local truncation errors within the requested tolerances. Each example includes build instructions, comparison against the analytical solution, and CSV export for visualization.
For details see the dedicated article https://computationalmindset.com/en/mathematics/ordinary-differential-equation-solvers-in-cpp-with-boost-odeint.html
