Creating a database for the solution of Van Der Pol equation with probabilistic evolution method

In this thesis, a database was created for solving the Van der Pol equation using the probabilistic evolution method. The Van der Pol oscillator is a nonlinear differential equation commonly used in biological, electrical, and mechanical systems. It can be emphasized that the Van der Pol equation is frequently used in testing numerical solutions of differential equations and that this study can be easily generalized for all equation systems with multinomial right-hand sides. This study was carried out to obtain numerical solutions of the Van der Pol equation and to store these solutions effectively. Users enter parameters through a web-based interface, and these parameters are processed by a Node.js-based server. The server runs the relevant C++ code to compute the solutions. The obtained solutions are processed in JSON format and stored in a MySQL database. This structure ensures that the data is stored in an organized manner and can be quickly accessed when needed. The study also provides a user-friendly interface for presenting the data. In this context, the entire solution process, from user interaction to the presentation of results, is addressed in detail. The findings of the study are significant for the efficient storage and analysis of the solutions to the Van der Pol equation.