DING H F, ZHANG Y X. A New Difference Scheme with High Accuracy and Absolute Stability for Solving Convection-Diffusion Equations[J]. Journal of Computational and Applied Mathematics, 2009, 230(2): 600-606. doi: 10.1016/j.cam.2008.12.015
王涛, 刘铁钢. 求解对流扩散方程的一致四阶紧致格式[J]. 计算数学, 2016, 38(4): 391-404.
KALITA J C, DALAL D C, DASS A K. A Class of Higher Order Compact Schemes for the Unsteady Two-Dimensional Convection-Diffusion Equation with Variable Convection Coefficients[J]. International Journal for Numerical Methods in Fluids, 2002, 38(12): 1111-1131. doi: 10.1002/fld.263
KARAA S, ZHANG J. High Order ADI Method for Solving Unsteady Convection-Diffusion Problems[J]. Journal of Computational Physics, 2004, 198(1): 1-9. doi: 10.1016/j.jcp.2004.01.002
TIAN Z F. A Rational High-Order Compact ADI Method for Unsteady Convection-Diffusion Equations[J]. Computer Physics Communications, 2011, 182(3): 649-662. doi: 10.1016/j.cpc.2010.11.013
TIAN Z F, GE Y B. A Fourth-Order Compact ADI Method for Solving Two-Dimensional Unsteady Convection-Diffusion Problems[J]. Journal of Computational and Applied Mathematics, 2007, 198(1): 268-286. doi: 10.1016/j.cam.2005.12.005
罗传胜, 李春光, 董建强, 等. 求解对流扩散方程的一种高精度紧致差分格式[J]. 西南大学学报(自然科学版), 2018, 40(9): 91-95.
SUN H W, LI L Z. A CCD-ADI Method for Unsteady Convection-Diffusion Equations[J]. Computer Physics Communications, 2014, 185(3): 790-797. doi: 10.1016/j.cpc.2013.11.009
LELE S K. Compact Finite Difference Schemes with Spectral-Like Resolution[J]. Journal of Computational Physics, 1992, 103(1): 16-42. doi: 10.1016/0021-9991(92)90324-R
STRIKWERDA J C. High-Order Schemes for Incompressible Viscous Flow[J]. International Journal for Numerical Methods in Fluids, 1997, 24(7): 715-734. doi: 10.1002/(SICI)1097-0363(19970415)24:7<715::AID-FLD513>3.0.CO;2-E
LI M, TANG T. A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows[J]. Journal of Scientific Computing, 2001, 16(1): 29-45. doi: 10.1023/A:1011146429794
HAIRER E, WANNER G. On the Instability of the BDF Formulas[J]. SIAM Journal on Numerical Analysis, 1983, 20(6): 1206-1209. doi: 10.1137/0720090
CHU P C, FAN C W. A Three-Point Combined Compact Difference Scheme[J]. Journal of Computational Physics, 1998, 140(2): 370-399. doi: 10.1006/jcph.1998.5899
HAMMAD D A, EL-AZAB M S. 2N Order Compact Finite Difference Scheme with Collocation Method for Solving the Generalized Burger's-Huxley and Burger's-Fisher Equations[J]. Applied Mathematics and Computation, 2015(258): 296-311.
YANG X J, GE Y B, ZHANG L. A Class of High-Order Compact Difference Schemes for Solving the Burgers' Equations[J]. Applied Mathematics and Computation, 2019(358): 394-417.