A Class of Alternating Segment Crank–Nicolson Methods for Solving Convection-Diffusion Equations

被引:4
作者
Wenqia Wang
机构
[1] Shandong University,Department of Mathematics
来源
Computing | 2004年 / 73卷
关键词
Convection-diffusion equation; parallel computing; Crank; Nicolson scheme; asymmetric difference scheme; alternating segment method;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we give a class of Alternating Segment Crank–Nicolson (ASC-N) method for the convection-diffusion equation. The method is unconditionally stable and has the advantages of parallel computing. The numerical examples show that the accuracy of the method is better than that of the existing method in [4].
引用
收藏
页码:41 / 55
页数:14
相关论文
共 50 条
[21]   A Class of Parallel Finite Difference Method for Convection-Diffusion Equations [J].
Feng, Qinghua .
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 :185-188
[22]   Soution of Convection-Diffusion Equations [J].
Peng, Yamian ;
Liu, Chunfeng ;
Shi, Linan .
INFORMATION COMPUTING AND APPLICATIONS, ICICA 2013, PT II, 2013, 392 :546-555
[23]   Efficient and accurate numerical methods for the multidimensional convection-diffusion equations [J].
Kong, Linghua ;
Zhu, Pengfei ;
Wang, Yushun ;
Zeng, Zhankuan .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 162 :179-194
[24]   Schwarz alternating algorithms for a convection-diffusion problem [J].
Boglaev, I .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 165 (03) :647-668
[25]   Alternating triangular schemes for convection-diffusion problems [J].
Vabishchevich, P. N. ;
Zakharov, P. E. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (04) :576-592
[26]   Parallel AGE Method for Solving Convection-Diffusion Equation [J].
Feng, Qinghua .
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 :189-192
[27]   Lattice Boltzmann model for a class of convection-diffusion equations with variable coefficients [J].
Li, Qianhuan ;
Chai, Zhenhua ;
Shi, Baochang .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (04) :548-561
[28]   Incremental Unknowns Method for Solving Three-Dimensional Convection-Diffusion Equations [J].
Lunji Song and Yujiang Wu School of Mathematics and Statistics Lanzhou University Lanzhou China .
Numerical Mathematics:A Journal of Chinese Universities(English Series), 2007, (01) :14-27
[29]   Exponential difference schemes with double integral transformation for solving convection-diffusion equations [J].
Polyakov S.V. .
Mathematical Models and Computer Simulations, 2013, 5 (4) :338-340
[30]   New Finite Difference Methods for Singularly Perturbed Convection-diffusion Equations [J].
He, Xuefei ;
Wang, Kun .
TAIWANESE JOURNAL OF MATHEMATICS, 2018, 22 (04) :949-978