In this study, a numerical approach was developed to approximate the solution of the Caputo-type fractional reaction–diffusion problem. In the proposed method, the Caputo fractional derivative and the ...

We developed a physics-informed neural network based on a mixture of Cartesian grid sampling and Latin hypercube sampling to solve forward and backward modified diffusion equations. We optimized the ...

A drop of dye added to a glass of water undergoes ordinary diffusion. However, when placed on the surface of a foam, the dye ...