This review aims to provide a comprehensive evaluation of the dynamics of the double pendulum, with a particular emphasis on its chaotic behavior. It examines the complicated and unpredictable ...

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This course provides an introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and linear ...

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In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve ...

Abstract: We apply first- and second-order splitting schemes to the differential Riccati equation. Such equations are very important in, e.g., linear quadratic regulator (LQR) problems, where they ...

in this repository, we learn how to find equilibrium points of a system of non-linear ODE and calculate the solution using Runge-Kutta Fourth Order (RK4). The equations used here can be found in the ...

Methods of numerical modelling with undergraduate level computational physics solutions with non-linear equations, gaussian probabilities, and Euler RK4 integration in this repository, we learn how to ...