求解抛物型方程的一种有限差分并行格式

J4 ›› 2011, Vol. 49 ›› Issue (01): 1-5.

Next Articles

A Finite Difference Parallel Method for Parabolic Equations

LIU Bo, LI Xinzhuo, YANG Dandan

College of Mathematics, Jilin University, Changchun 130012, China

Received:2010-09-26 Online:2011-01-26 Published:2011-02-19
Contact: LI Xinzhuo E-mail:lixz2123@163.com

Abstract

Abstract:

The improved JGS iterative method was used to solve parabolic equations, and a new parallel method was constructed. We prove that this method is absolutely stable and explicit, and its truncation error reaches O(τ+h²). The numerical experimentation agrees with the theory analysis.

Key words: parallel computation, differential equation; , JGS iterative methods, stability, truncation error

CLC Number:

O241.82

LIU Bo, LI Cuan-Zhuo, YANG Dan-Dan. A Finite Difference Parallel Method for Parabolic Equations[J].J4, 2011, 49(01): 1-5.

[1]	WANG Han, LI Huilai, LI Wenxuan. Dynamic Behaviors of a Measles Model Based on Secondary Vaccine Failure [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1003-1008.
[2]	MA Xiaoqi, ZHAO Zhitao. Dynamic Analysis of a Class of Plant-Herbivore Diffusion System [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1057-1065.
[3]	QIAN Rong, XIAO Min, WANG Lu. Stability Analysis of Fractional-Order SIR Epidemic Models with Different Orders [J]. Journal of Jilin University Science Edition, 2021, 59(4): 796-806.
[4]	SONG Xiangwei , DOU Xinyue, SHA Yue, LUO Rui, WANG Xueli. Effect of Helical Structure on Bioactivity and Stability of Exendin-4 [J]. Journal of Jilin University Science Edition, 2021, 59(4): 988-992.
[5]	ZHAN Huashui, YUAN Hongjun. Uniqueness of Solutions to Degenerate Parabolic Equation with Variable Exponents [J]. Journal of Jilin University Science Edition, 2021, 59(1): 1-6.
[6]	LI Hui, CHU Huilian, ZHAO Qiliang, LIU Yue. Synchronous Circuit Design of Brushless DC Motor [J]. Journal of Jilin University Science Edition, 2021, 59(1): 162-167.
[7]	BAO Xuezhong, HU Lin, GUO Huiqing. Convergence and Stability of Balanced Methods for Stochastic Variable Delay Differential Equations [J]. Journal of Jilin University Science Edition, 2020, 58(6): 1345-1356.
[8]	ZHAO Yanxia, YANG He. Exp-Type Ulam-Hyers Stability of Fractional Impulsive Integro-Differential Equations in Banach Spaces [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1055-1065.
[9]	CAO Mingyuan, YANG Yueting, ZHANG Yanyu, HUANG Qingdao. Dynamic Properties of Nonlinear DifferenceEquation with Periodic Coefficients [J]. Journal of Jilin University Science Edition, 2020, 58(3): 457-462.
[10]	LI Wenxuan, LI Huilai, ZHAO Yanjun. A Class of SIRS Epidemic Model Based on Psychology Effect [J]. Journal of Jilin University Science Edition, 2020, 58(3): 513-517.
[11]	LI Xiaoping, HUANG Rong, LI Huilai. Dynamic Analysis of Epidemic Model with Vertical Transmission [J]. Journal of Jilin University Science Edition, 2020, 58(3): 569-574.
[12]	ZHAO Zhixin, TANG Hui. Stability Analysis of Repairable Systemwith Two Different Failure Modes [J]. Journal of Jilin University Science Edition, 2020, 58(2): 285-292.
[13]	YU Huanhuan, AN Xinlei, LU Zhengyu, WANG Wenjing. Stability and Hopf Bifurcation Analysis of FluxCoupled Neuron Model [J]. Journal of Jilin University Science Edition, 2020, 58(2): 388-396.
[14]	SUN Mingfen, REN Xiu’e, LIAO Zepeng, WANG Hongyan, HE Wenjun, MENG Fanxin. Effects of Isocyanate Index on Properties of Polyurethane Powder Adhesives [J]. Journal of Jilin University Science Edition, 2020, 58(1): 171-176.
[15]	LI Xue, XU Xu. Stability of TwoDimensional Complex Oscillator Networks with Time Delay [J]. Journal of Jilin University Science Edition, 2019, 57(3): 571-573.

A Finite Difference Parallel Method for Parabolic Equations

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10