Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations
It is well known that using high-order numerical algorithms to solve fractional differential
equations leads to almost the same computational cost with low-order ones but the accuracy …
equations leads to almost the same computational cost with low-order ones but the accuracy …
Three-point compact approximation for the Caputo fractional derivative
Y Dimitrov - arXiv preprint arXiv:1510.01619, 2015 - arxiv.org
In this paper we derive the fourth-order asymptotic expansions of the trapezoidal
approximation for the fractional integral and the $ L1 $ approximation for the Caputo …
approximation for the fractional integral and the $ L1 $ approximation for the Caputo …
Higher-order numerical solutions of the fractional relaxation-oscillation equation using fractional integration
Y Dimitrov - arXiv preprint arXiv:1603.08733, 2016 - arxiv.org
In the present paper we derive the asymptotic expansion formula for the trapezoidal
approximation of the fractional integral. We use the expansion formula to obtain …
approximation of the fractional integral. We use the expansion formula to obtain …
[HTML][HTML] 一类空间分数阶Burgers 方程守恒型差分方法
胡婷， 傅毛里 - Advances in Applied Mathematics, 2022 - hanspub.org
本文采用守恒型差分方法求解一类空间分数阶Buegers 方程, 其中时间方向和空间方向分别采用
Crank-Nicolson 格式和有限差分法离散. 实验结果表明, 该方法在时间和空间上的收敛速度都为 …
Crank-Nicolson 格式和有限差分法离散. 实验结果表明, 该方法在时间和空间上的收敛速度都为 …
Approximations for the Caputo derivative (II)
In the present paper we use the expansion formula of the polylogarithm function to construct
approximations of the Caputo derivative which are related to the midpoint approximation of …
approximations of the Caputo derivative which are related to the midpoint approximation of …
A new method for numerical solution of the fractional relaxation and subdiffusion equations using fractional Taylor polynomials
Y Dimitrov - arXiv preprint arXiv:1503.02958, 2015 - arxiv.org
The accuracy of the numerical solution of a fractional differential equation depends on the
differentiability class of the solution. The derivatives of the solutions of fractional differential …
differentiability class of the solution. The derivatives of the solutions of fractional differential …
[引用][C] Department of Applied Mathematics and Statistics University of Rousse, Rousse 7017, Bulgaria ymdimitrov@ uni-ruse. bg April 25, 2016
Y Dimitrov - 2016
[引用][C] Department of Applied Mathematics and Statistics University of Rousse, Rousse 7017, Bulgaria ymdimitrov@ uni-ruse. bg April 26, 2016
Y Dimitrov - arXiv preprint arXiv:1604.07188, 2016