Solving Initial Value Problems of Ordinary Differential Equations Using Runge - Kutta Methods in Python-Based Scientific Computing Platforms

The solution of ordinary differential equations is an essential activity in most sciences because it represents the of different systems, both in the physics and biology spheres. Non-analytical methods to solve ODEs, however, may be tricky, particularly the non-linear equations. The proposed study suggests a system of solving initial value problems of ODEs with advanced Runge-Kutta algorithms, which are applied to scientific computing systems with Python. The study fills the knowledge gap on how