This paper develops a Chebyshev Wavelet Operational Matrix Method (CWOMM) for solving a novel class of nonlinear mixed Volterra–Fredholm fractional integro-differential equations with state-dependent ...

Physics-informed neural networks (PINNs) often struggle to solve stiff partial differential equations (PDEs) with moving boundaries, such as convection-dominated droplet drying with shrinking domains ...

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 ...

A new hybrid quantum-classical operator splitting method solves nonlinear parabolic PDEs up to 100 dimensions with provably ...

Researchers have trained a two-hidden-layer neural network with Levenberg–Marquardt backpropagation to accurately approximate ...