We use explicit difference scheme,implicit difference scheme,and Crank-Nicholson difference scheme to discretize an anomalous diffusion equation with spatial fractional derivatives,and analyze their performances in terms of truncation error,stability and computing expense.
分别采用显式差分格式、隐式差分格式以及Crank-Nicholson差分格式数值求解空间分数阶导数,并从局部截断误差、稳定性、计算量三个方面进行比较分析;通过数值算例验证分析结果。
Methods:First derivative spectrometry was established.
方法:采用一阶导数分光光度法,测定波长为275nm和317nm。
Determination of the content of allantoin in allantoin-vitamin E cream by zero-crossing first-derivative spectrophotometry;
零交一阶导数分光光度法测定尿囊素维E乳膏中尿囊素含量
METHODS A first order derivative spectrophotometry method was used.
方法 用一阶导数分光光度法测定盐酸环丙沙星软膏的含量 ,同时用强化试验、加速试验、长期试验等方法对其稳定性进行研究。
Comparative Study of Numerical Algorithms for "Anomalous" Diffusion Equation with Spatial Fractional Derivatives
空间分数阶导数“反常”扩散方程数值算法的比较
Cauchy’s Integral Formulae for Derivatives of the n-th Order of Holomorphic Functions in H~p-space (p≥1);
H~p(p≥1)空间中的全纯函数的n阶导数的Cauchy积分公式
Numerical Solution of the Space Fractional Advection-Dispersion Equations and Applications;
空间分数阶对流—扩散方程的数值解及其应用
The Fundamental Solution of the Time-Space Fractional Advection-Dispersion Equation
时间空间分数阶对流-弥散方程的基本解
Phase-space analysis for fractional Fourier transform of first-order optical system
一阶光学系统分数傅里叶变换的相空间分析
The Variational Inclusions Concerning Intermediate Derivatives in Banach Space
Banach空间中相邻导数的变分包含
Direction finding of signal subspace fitting algorithm based on reconstructed fractional lower order covariance
重构分数低阶协方差的子空间拟合测向算法
The Analytic Solution and the Fundamental Solution of a Space and Time Fractional Advection-dispersion Equation;
空间—时间分数阶对流扩散方程的分析解及基本解的性质
Finite Difference Methods for Space-time Fractional Convection-diffusion Equation
时间-空间分数阶对流扩散方程的有限差分解法(英文)
Second order Impulsive Integro-Differential Equations with a Derivative in Banach Spaces
Banach空间二阶带导脉冲积分-微分方程
Mermorphic functions concerning their n-th derivative sharing two values with weight
亚纯函数及其n阶导数权分担两个值
Four-Parameter Subspace Matching Pursuit Algorithm with the Help of Time-frequency Distribution;
由时频分布引导的四参数子空间匹配追踪算法
Derivation of the Dimentions of Some Linear Spaces by Methods of Combination and Analysis;
用组合分析方法推导若干线性空间的维数
Implicit Finite Difference Schemes of a Space Fractional Advection-dispersion Equation with Mixed Problems;
空间分数阶对流扩散方程混合问题的显式有限差分格式
A finite difference method for the two-sided space-fractional advection-diffusion equation
双边空间分数阶对流-扩散方程的一种有限差分解法
Order estimation for subspace system identification methods
子空间系统辨识方法的系统阶数估计
wigner's phase space distribution functio
维格纳相空间分布函数
Analysis and Comparision of Different Definition About Fractional Integrals and Derivatives;
关于分数阶导数的几种不同定义的分析与比较