Integrable systems and differential equations are fundamental areas of study in mathematics and physics, focusing on systems that can be solved exactly. These systems often exhibit rich structures and ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Abstract. In this paper, the Bernstein operational matrices are used to obtain solutions of multi-order fractional differential equations. In this regard we present a theorem which can reduce the ...

Delay differential equations (DDEs) extend the classical framework of differential equations by incorporating terms that depend on past states, thus capturing the intrinsic time delays found in many ...

Find out why the most popular mathematical subjects in engineering in 2026 are calculus and linear algebra. Discover how ...

Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...