I’ve always loved the idea of electric cars the way they glide so quietly, the instant punch of acceleration, no exhaust ...

When we think about heat traveling through a material, we typically picture diffusive transport, a process that transfers ...

The derivation of the dynamical equation of motion (EOM) for a system is a straight-forward application of what we have learned from Chapter 5 in using the Newton-Euler equations. The goal in deriving ...

A mathematician has solved a 200-year-old maths problem after figuring out a way to crack higher-degree polynomial equations without using radicals or irrational numbers. The method developed by ...

Breakthroughs, discoveries, and DIY tips sent six days a week. Terms of Service and Privacy Policy. Most people’s experiences with polynomial equations don’t ...

Damped Burger’s equation describes the characteristics of one-dimensional nonlinear shock waves in the presence of damping effects and is significant in fluid dynamics, plasma physics, and other ...

The fractional-order nonlinear Gardner and Cahn–Hilliard equations are often used to model ultra-short burst beams of light, complex fields of optics, photonic transmission systems, ions, and other ...

Abstract: This study deals with the analytical and approximate solutions of the Heat fractional Partial differential equation under Caputo’s definition. Through a practical and highly efficient ...

We use the Power Series Method (PSM) numerical framework for estimating nonlinear variations of the Black-Scholes partial differential equations (PDE). The PSM offers an alternative to using ...