In this repository we will show how to use different methods for solving ordinary differential equations. In the introduction, we will discuss about differential equations and the methods to solve ...

Discover how a second-order differential equation system with feedback controls effectively solves convex programming problems. Explore operator equations, trajectory accumulation points, and ...

There is a vital role for differential equations in studying the behavior of different types of real-world problems. Thus, it becomes crucial to know the existence uniqueness properties of ...

In the past few years, fractional differential equations have emerged as a strong and well-organized mathematical tool in the study of many occurrences in science and engineering. Research in ...

What differential equation model best describes ecological or biochemical dynamics? What interventions improve the health of organisms or ecosystems? Similarly, inductive methods of statistics and ...

This repository contains the source code of the paper Practical (Rotational) Differential-Linear Distinguishers of ARX Ciphers with Arbitrary Output Linear Masks. The SageMath Notebook file ...

This paper considers the stability problem of a linear time invariant system in feedback with a string equation. A new Lyapunov functional is proposed using augmented states that enriches and ...

MIT solved a century-old differential equation to break 'liquid' AI's computational bottleneck The discovery could usher in a new generation of weather forecasting and autonomous vehicle driving ...