Ma Mingshu. A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(5): 465-469.
Citation:
Ma Mingshu. A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(5): 465-469.
Ma Mingshu. A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(5): 465-469.
Citation:
Ma Mingshu. A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations[J]. Applied Mathematics and Mechanics, 1998, 19(5): 465-469.
A New High-Order Accuracy Explicit Difference Scheme for Solving Three-Dimensional Parabolic Equations
Received Date: 1997-06-17Publish Date:
1998-05-15
Abstract
In this paper,a new three-level explicit difference scheme with high accuracy is proposed for solving three-dimensional parabolic equations.It is shown that the truncation error of the scheme is O(Δt2 +Δx4 )and the condition of stability of the scheme is r≤1/4.
References
[1]
曾文平,三维抛物型方程的一个新的高精度显式差分格式,工科数学,18(4)(1992),20-25.
[2]
曾文平,解三维抛物型方程的高精度显式格式,华侨大学学报(自然科学版),16(2)(1995),128-133.
[3]
S.Mckee,A generalizalion of the Du Fort-Frakel Scheme,J.Inst.Maths.Appliecs,1(1972),42-48.
[4]
马驷良,二阶矩阵族Gn (k,Δt)一致有界的充要条件及其对差分方程稳定性的应用,高等学校计算数学学报,2(2)(1980),41-53.
Relative Articles
[1] CHEN Sisi, LI Xulong, ZHANG Chaonan, QIN Juanjuan, ZHAO Bingxin. Numerical Simulations of Double-Diffusive Convection in Different Liquid Metals Under Magnetic Fields [J]. Applied Mathematics and Mechanics, 2024, 45(12): 1473-1482. doi: 10.21656/1000-0887.440347
[2] WEI Jianying, GE Yongbin. A High-Order Finite Difference Scheme for 3D Unsteady Convection Diffusion Reaction Equations [J]. Applied Mathematics and Mechanics, 2022, 43(2): 187-197. doi: 10.21656/1000-0887.420151
[3] ZHUANG Xin, LIU Fujun, SUN Yanping, WANG Huiling. High Accuracy Numerical Simulation of Non-Isothermal Viscoelastic Polymer Fluid Past a Cylinder [J]. Applied Mathematics and Mechanics, 2022, 43(12): 1380-1391. doi: 10.21656/1000-0887.430127
[4] XU Weizheng, WU Weiguo. Precision Analysis of the 3rd-Order WENO-Z Scheme and Its Improved Scheme [J]. Applied Mathematics and Mechanics, 2018, 39(8): 946-960. doi: 10.21656/1000-0887.390011
[5] ZHAN Yong-qiang, ZHANG Chuan-lin. A Family of High Accuracy Implicit Difference Schemes for Solving Parabolic Equations [J]. Applied Mathematics and Mechanics, 2014, 35(7): 790-797. doi: 10.3879/j.issn.1000-0887.2014.07.008
[6] CHENG Pan, HUANG Jin, ZENG Guang. High Accuracy Eigensolution and Its Extrapolation for Potential Equations [J]. Applied Mathematics and Mechanics, 2010, 31(12): 1445-1453. doi: 10.3879/j.issn.1000-0887.2010.12.005
[7] ZHANG Qing-jie, WANG Wen-qia. A New Alternating Group Explicit-Implicit Algorithm With Highly Accuracy for the Dispersive Equation [J]. Applied Mathematics and Mechanics, 2008, 29(9): 1107-1116.
[8] LIN Jian-guo, XIE Zhi-hua, ZHOU Jun-tao. Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Applicatin in CFD [J]. Applied Mathematics and Mechanics, 2007, 28(7): 843-852.
[9] QU Fu-li, WANG Wen-qia. Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation [J]. Applied Mathematics and Mechanics, 2007, 28(7): 869-876.
[10] WANG Shou-dong, SHEN Yong-ming. Three High-Order Splitting Schemes for the 3D Transport Equation [J]. Applied Mathematics and Mechanics, 2005, 26(8): 921-928.
[11] LIU Ji-jun. The 3-Layered Explicit Difference Scheme for 2-D Heat Equation [J]. Applied Mathematics and Mechanics, 2003, 24(5): 537-544.
[12] Ni Migjiu, Xi Guang, Wang Shangjin. Construction of High-Order Accuracy Implicit Residual Smoothing Schemes [J]. Applied Mathematics and Mechanics, 2000, 21(4): 365-372.
[13] ZENG Wen-ping. A Class of Two-Level Explicit Difference Schemes for Solving Three Dimensional Heat Conduction Equation [J]. Applied Mathematics and Mechanics, 2000, 21(9): 966-972.
[14] MA Ming-shu, Wang Tong-ke. A Family of High-Order Accuracy Explicit Difference Schemes With Branching Stability for Solving 3-D Parabolic Partial Differential Equation [J]. Applied Mathematics and Mechanics, 2000, 21(10): 1087-1092.
[15] Sun Honglie. The High Accuracy Explicit Difference Scheme for Solving Parabolic Equations 3-Dimension [J]. Applied Mathematics and Mechanics, 1999, 20(7): 737-742.
[16] Ma Mingshu. A High-order Accuracy Explicit Difference Scheme for Solving the Equation of Two-Dimensional Parabolic Type [J]. Applied Mathematics and Mechanics, 1996, 17(11): 1013-1017.
[17] Ji Zhen-yi, Ye Kai-yuan. A High Convergent Precision Exact Analytic Method for Differential Equation with Variable Coefficients [J]. Applied Mathematics and Mechanics, 1993, 14(3): 189-194.
[18] Li Yi. Four-Point Explicit Difference Schemes for the Dispersive Equation [J]. Applied Mathematics and Mechanics, 1993, 14(3): 219-223.
[19] Sun Qi-ren. The Stability of Difference Schemes of a Higher Dimensional Parabolic Equation [J]. Applied Mathematics and Mechanics, 1991, 12(12): 1141-1147.
[20] Wang Guo-ying. A High Accuracy Difference Scheme for the Slnuglar Perturbation Problem of the Second-Order Linear Ordinary Differential Equation in Conservation Form [J]. Applied Mathematics and Mechanics, 1989, 10(5): 447-462.
Proportional views
Created with Highcharts 5.0.7 Chart context menu Access Class Distribution FULLTEXT : 17.9 % FULLTEXT : 17.9 % META : 81.5 % META : 81.5 % PDF : 0.6 % PDF : 0.6 % FULLTEXT META PDF
DownLoad: