Welcome to the Differential Equations and Modeling repository! This resource is tailored for educational purposes, providing detailed practice assignments and exercises that encompass a wide range of ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

Optimization techniques have become a core tool for solving complex problems across diverse fields such as engineering design, economic planning, and scientific discovery. When tackling real-world ...

Abstract: This paper investigates the stochastic characteristics in large-scale distributed information systems. By analyzing random phenomena such as system failures, network delays, and server loads ...

Abstract: Freight trains operate in dynamic environments and exhibit time-varying behavior, making static mechanistic models inadequate for capturing these changes. This often results in impractical ...

In the realm of financial mathematics, differential equations play a pivotal role in modeling and solving problems related to various financial instruments and markets. These mathematical tools are ...