Searcharxiv⌕ Search

arXiv subjects

Jiahui Hu

Publications and source records attributed to Jiahui Hu.

21 records · Page 2Linked to original sources

Novel Porous Aluminum Nitride Monolayer Structures A First-principles Study

By using ab inito calculations within Density Functional Theory, we have explored the possible structures and various properties of porous AlN monolayer materials. Two kinds of porous AlN monolayer are identified, and the phonon dispersion spectrum together with the ab inito molecular dynamics simulations demonstrate that their structures are stable. We further show that these AlN porous monolayers have well-defined porous nanostructures and even higher specific surface areas, namely, which can be comparable with graphene, and can also be maintained evenly at high temperatures. Furthermore, both porous monolayers exhibit semiconductor properties with 2.89 eV and 2.86 eV indirect band gap, respectively. In addition, the electronic structures of such porous monolayers can be modulated by strains. The band gap of porous AlN monolayer experiences an indirect-direct transition when biaxial strain is applied. A moderate 9% compression can trigger this gap transition. These results indicate that the porous AlN monolayer may potentially be used for optoelectronic applications, as well as for underlying catalysts in the future.

cond-mat.mtrl-sci↗

Numerical algorithm for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term

In this paper, an alternating direction implicit (ADI) difference scheme for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term is presented. The unique solvability of the difference solution is discussed, and the unconditional stability and convergence order of the numerical scheme are analysed. Finally, numerical experiments are carried out to verify the effectiveness and accuracy of the algorithm.

math.NA↗

Maximum-norm error analysis of compact difference schemes for the backward fractional Feynman-Kac equation

The fractional Feynman-Kac equations describe the distribution of functionals of non-Brownian motion, or anomalous diffusion, including two types called the forward and backward fractional Feynman-Kac equations, where the fractional substantial derivative is involved. This paper focuses on the more widely used backward version. Based on the discretized schemes for fractional substantial derivatives proposed recently, we construct compact finite difference schemes for the backward fractional Feynman-Kac equation, which has q-th (q=1, 2, 3, 4) order accuracy in temporal direction and fourth order accuracy in spatial direction, respectively. In the case q=1, the numerical stability and convergence of the difference scheme in the discrete L-infinity norm are proved strictly, where a new inner product is defined for the theoretical analysis. Finally, numerical examples are provided to verify the effectiveness and accuracy of the algorithms.

math.NA↗