This app aims to provide benchmark values for model systems in numerical applications. The app came out of my scientific research, which currently focuses on initial value problems. It is the most efficient use of my 4th-order Runge-Kutta (RK) method, mainly thanks to the implemented adaptive step size choice. Since RK4 is 4th-order by nature, the computation is done with a single precision. Higher-ordered methods and more robust algorithms original to my research will soon follow in the upcoming versions. Please encourage by suggesting more realistic examples you would like to see or that may interest a larger audience.
App features:
- Three famous parametrized differential equations.
- Uses the RK4 method, with adaptive step size in single precision.
- Propagates the solutions from t=0 to t=T and displays output stats that reveal its performance.
- If the differential equation is too stiff and the step size drops prematurely at t=tmax (less than T), it only shows results up to tmax.
- Plots the solution and, if available, the derivative and phase curve.