Stable and accurate representation of species diffusion in multilayer composite electrodes using physics-informed neural networks

Q Wang, P Zhang, W Qiu, L Feng - Journal of Energy Storage, 2024 - Elsevier
Stable and accurate reconstruction of species diffusion in Li-ion cell electrodes is a crucial
problem, especially in modeling emerging composite electrode materials. Lithium-ion …

Solving forward-backward time fractional heat equation with variable-order by a finite difference method

S Banei, K Shanazari - 2024 - authorea.com
In this work, a forward-backward time fractional heat equation is introduced for the first time.
A non-overlapping domain decomposition procedure with a finite difference scheme is used …

A new approximation method for convection-diffusion equation by the fundamental solutions

S Banei, K Shanazari - Journal of Mathematical Modeling, 2023 - jmm.guilan.ac.ir
This paper develops a new numerical method of fundamental solutions for the non-
homogeneeous convection-diffusion equations with time-dependent heat sources. A …