This discussion focuses on solving a system of 200 second order differential equations using MATLAB. While Simulink is an option, it is inefficient for such a large number of equations due to the complexity of block diagrams. MATLAB offers various solvers for differential equations, as detailed in the official documentation. For in-depth understanding, the book "Solving ODE's with MATLAB" by Shampine, Gladwell, and Thompson is recommended as it addresses the challenges of initial value problems (IVP) in large systems.
PREREQUISITESThis discussion is beneficial for engineers, mathematicians, and researchers working with complex systems of differential equations, particularly those utilizing MATLAB for numerical simulations.
Now we take up issues that are important when solving an IVP for a large system of equations. The MATLAB PSE is not appropriate for the very large systems solved routinely in some areas of general scientific computing, but it is possible to solve conveniently systems that are quite large.