Nature

A novel fractional-order coupled model integrating a damped oscillator equation with a non-Fickian heat conduction equation

As an emerging mathematical tool, fractional calculus has gained prominence across diverse scientific and engineering domains in recent years. The coupled mathematical model that integrates the ...
Nature

Using artificial intelligence algorithms to reconstruct the heat transfer coefficient during heat conduction modeling

AI has been instrumental in addressing various complex issues, with road safety being a prime example. Adaptive safety systems have been developed to enhance the security of moving vehicles, often ...
EurekAlert!

Researchers generalize Fourier's heat equation, explaining hydrodynamic heat propagation

Fourier's well-known heat equation, introduced in 1822, describes how temperature changes in space and time when heat flows through a material. In general, this formulation works well to describe heat ...
Phys.org

Researchers generalize Fourier's 200-year-old heat equation, explaining hydrodynamic heat propagation

Michele Simoncelli, a Ph.D. student at EPFL, Andrea Cepellotti, a former EPFL student now at Harvard, and Nicola Marzari, head of EPFL's Theory and Simulation of Materials laboratory, have developed a ...