Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation

被引:0
|
作者
曲富丽 [1 ]
王文洽 [2 ]
机构
[1] Accounting Department,Women's Academy at Shandong
[2] School of Mathematics and System Science,Shandong University
基金
中国国家自然科学基金;
关键词
KdV equation; intrinsic parallelism; alternating segment explicit-implicit difference scheme; unconditionally linear stable;
D O I
暂无
中图分类号
O241.82 [偏微分方程的数值解法];
学科分类号
070102 ;
摘要
A group of asymmetric difference schemes to approach the Korteweg-de Vries(KdV)equation is given here.According to such schemes,the full explicit difference scheme and the fun implicit one,an alternating segment explicit-implicit difference scheme for solving the KdV equation is constructed.The scheme is linear unconditionally stable by the analysis of linearization procedure,and is used directly on the parallel computer. The numerical experiments show that the method has high accuracy.
引用
收藏
页码:973 / 980
页数:8
相关论文
共 50 条
  • [1] Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation
    Fu-Li, Qu
    Wen-Qia, Wang
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2007, 28 (07) : 973 - 980
  • [2] Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation
    Fu-li Qu
    Wen-qia Wang
    Applied Mathematics and Mechanics, 2007, 28 : 973 - 980
  • [3] The alternating segment explicit-implicit scheme for the dispersive equation
    Zhu, SH
    Zhao, J
    APPLIED MATHEMATICS LETTERS, 2001, 14 (06) : 657 - 662
  • [4] The alternating segment explicit-implicit scheme for the fourth-order parabolic equation
    Guo, G. (guogeyang2000@sina.com), 1600, Binary Information Press, Flat F 8th Floor, Block 3, Tanner Garden, 18 Tanner Road, Hong Kong (10):
  • [5] Alternating segment Explicit-Implicit scheme for the fifth-order dispersive equation
    Zuo, Jin-Ming
    Zhang, Yao-Ming
    Zhang, Tian-De
    Fu, Ji-Mei
    ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION, VOL 6: MODELLING & SIMULATION INDUSTRIAL ENGINEERING & MANAGEMENT, 2010, : 55 - 59
  • [6] An Alternating Segment Explicit-Implicit Scheme with Intrinsic Parallelism for Burgers' Equation
    Xue, Guanyu
    Feng, Hui
    JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, 2020, 49 (01) : 15 - 30
  • [7] Alternating segment explicit-implicit and implicit-explicit parallel difference method for the nonlinear Leland equation
    Weijuan Zhao
    Xiaozhong Yang
    Lifei Wu
    Advances in Difference Equations, 2016
  • [8] Alternating segment explicit-implicit and implicit-explicit parallel difference method for the nonlinear Leland equation
    Zhao, Weijuan
    Yang, Xiaozhong
    Wu, Lifei
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [9] HIGH-ACCURACY ALTERNATING SEGMENT EXPLICIT-IMPLICIT METHOD FOR THE FOURTH-ORDER HEAT EQUATION
    Guo, G.
    Lu, S.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (06): : 1723 - 1737
  • [10] PARALLEL COMPUTING METHOD OF PURE ALTERNATIVE SEGMENT EXPLICIT-IMPLICIT DIFFERENCE SCHEME FOR NONLINEAR LELAND EQUATION
    Ruifang Yan
    Xiaozhong Yang
    Shuzhen Sun
    Annals of Applied Mathematics, 2018, 34 (03) : 302 - 318