Meshless generalized finite difference method for two-and three-dimensional transient elastodynamic analysis
In this paper, a meshless collocation method is introduced for two-dimensional (2D) and
three-dimensional (3D) transient elastodynamic problems by applying the generalized finite …
three-dimensional (3D) transient elastodynamic problems by applying the generalized finite …
A finite difference method for solving the wave equation with fractional damping
In this paper, we develop a finite difference method for solving the wave equation with
fractional damping in 1D and 2D cases, where the fractional damping is given based on the …
fractional damping in 1D and 2D cases, where the fractional damping is given based on the …
Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes
In this paper, based on the nonuniform time meshes, we proposed an efficient difference
scheme for solving the time-fractional bi-flux diffusion equation. By the energy method, we …
scheme for solving the time-fractional bi-flux diffusion equation. By the energy method, we …
[HTML][HTML] 变系数分数阶偏微分方程的数值解法
崔曼若 - Advances in Applied Mathematics, 2023 - hanspub.org
本文旨在对二维具有变系数的分数阶偏微分方程构造一种有效的有限差分格式,
通过对误差的分析得到该差分格式的收敛阶为, 其中τ 表示时间步长, h 1, h 2 表示空间步长, 1< …
通过对误差的分析得到该差分格式的收敛阶为, 其中τ 表示时间步长, h 1, h 2 表示空间步长, 1< …
Sub-Diffusion Two-Temperature Model and Accurate Numerical Scheme for Heat Conduction Induced by Ultrashort-Pulsed Laser Heating
In this study, we propose a new sub-diffusion two-temperature model and its accurate
numerical method by introducing the Knudsen number (K n) and two Caputo fractional …
numerical method by introducing the Knudsen number (K n) and two Caputo fractional …