Zobrazeno 1 - 10
of 508
pro vyhledávání: '"HUANG Chengming"'
This study investigates a class of initial-boundary value problems pertaining to the time-fractional mixed sub-diffusion and diffusion-wave equation (SDDWE). To facilitate the development of a numerical method and analysis, the original problem is tr
Externí odkaz:
http://arxiv.org/abs/2307.05349
Publikováno v:
Corporate Governance: The International Journal of Business in Society, 2024, Vol. 24, Issue 6, pp. 1314-1336.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/CG-04-2023-0173
The shifted fractional trapezoidal rule (SFTR) with a special shift is adopted to construct a finite difference scheme for the time-fractional Allen-Cahn (tFAC) equation. Some essential key properties of the weights of SFTR are explored for the first
Externí odkaz:
http://arxiv.org/abs/2302.13021
Autor:
Zhang, Yimin, Liu, Meiyu, Huang, Chengming, Zhang, Hang, Zheng, Jian, Qin, Yucai, Yang, Ye, Mei, Yi, Zu, Yun
Publikováno v:
In Chemical Engineering Journal 1 September 2024 495
Publikováno v:
In Physica D: Nonlinear Phenomena August 2024 464
In this paper, we study the mean-square stability of the solution and its stochastic theta scheme for the following stochastic differential equations drive by fractional Brownian motion with Hurst parameter $H\in (\frac 12,1)$: $$ dX(t)=f(t,X(t))dt+g
Externí odkaz:
http://arxiv.org/abs/2109.09009
In the current work we build a difference analog of the Caputo fractional derivative with generalized memory kernel ($_\lambda$L2-1$_\sigma$ formula). The fundamental features of this difference operator are studied and on its ground some difference
Externí odkaz:
http://arxiv.org/abs/2108.10596
In this paper, we consider a second-order scalar auxiliary variable (SAV) Fourier spectral method to solve the nonlinear fractional generalized wave equation. Unconditional energy conservation or dissipation properties of the fully discrete scheme ar
Externí odkaz:
http://arxiv.org/abs/2105.01692
The present paper is devoted to constructing L2 type difference analog of the Caputo fractional derivative. The fundamental features of this difference operator are studied and it is used to construct difference schemes generating approximations of t
Externí odkaz:
http://arxiv.org/abs/2102.08813
In this paper, we first establish the existence, uniqueness and H\"older continuity of the solution to stochastic Volterra integral equations with weakly singular kernels. Then, we propose a $\theta$-Euler-Maruyama scheme and a Milstein scheme to sol
Externí odkaz:
http://arxiv.org/abs/2004.04916