An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
复制标题
三维时间分数对流扩散方程的无条件稳定紧凑ADI方法
DOI：
10.1016/j.jcp.2014.03.020
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发表时间：
2014-07
影响因子：
4.1
通讯作者：
He Yinnian
中科院分区：
文献类型：
--
作者：
Zhai Shuying;Feng Xinlong;He Yinnian
A high-order compact finite difference method is presented for solving the three-dimensional (3D) time-fractional convection–diffusion equation (of order α∈(1, 2)). The original equation is first transformed to a fractional diffusion-wave equation, then using fourth-order Padé approximation for spatial derivatives and the center difference method for time derivative respectively, a fully discrete implicit compact scheme is obtained. Furthermore, based on different splitting terms, three unconditionally stable ADI compact schemes with optimal convergence order are developed respectively. The resulting schemes in each ADI solution step corresponding to a strictly diagonally dominant matrix equation can be solved using the 1D tridiagonal Thomas algorithm with a considerable saving in computing time. Numerical experiments show that these schemes can significantly improve the time accuracy.
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影响因子：
2.9
作者：
J. Sanz-Serna
通讯作者：
J. Sanz-Serna
影响因子：
3.7
作者：
X. Li;Chuanju Xu;许传炬
通讯作者：
X. Li;Chuanju Xu;许传炬
影响因子：
3.9
作者：
Leilei Wei;Yinnian He;Bo Tang
通讯作者：
Leilei Wei;Yinnian He;Bo Tang
影响因子：
2.2
作者：
P. Zhuang;Fawang Liu;Fawang Liu
通讯作者：
P. Zhuang;Fawang Liu;Fawang Liu
DOI：
10.1080/15502287.2012.660227
发表时间：
2012-04
影响因子：
1.6
作者：
Wenyuan Liao
通讯作者：
Wenyuan Liao