Partial differential equations (PDEs) are a class of mathematical problems that represent the interplay of multiple variables, and therefore have predictive power when it comes to complex physical ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations: Get here solutions for NCERT Class 12 Maths Chapter 9 for the 2025 exams. This article provides free pdf all exercise download link ...

We investigate the asymptotic properties as t → ∞ of the following differential equation in the Hilbert space H: $\ddot x(t) + a(t)\dot x(t) + \nabla G(x(t)) = 0,t \ge 0,$ where the map \[\mathbb{R}_ ...

Earlier this year, Mathematician Ian Stewart came out with an excellent and deeply researched book titled "In Pursuit of the Unknown: 17 Equations That Changed the World" that takes a look at the most ...