留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于同伦分析方法的一种改进的试位法

S·阿巴斯班迪 廖世俊

S·阿巴斯班迪, 廖世俊. 基于同伦分析方法的一种改进的试位法[J]. 应用数学和力学, 2008, 29(2): 203-208.
引用本文: S·阿巴斯班迪, 廖世俊. 基于同伦分析方法的一种改进的试位法[J]. 应用数学和力学, 2008, 29(2): 203-208.
S. Abbasbandy, LIAO Shi-jun. A New Modification of False Position Method Based on the Homotopy Analysis Method[J]. Applied Mathematics and Mechanics, 2008, 29(2): 203-208.
Citation: S. Abbasbandy, LIAO Shi-jun. A New Modification of False Position Method Based on the Homotopy Analysis Method[J]. Applied Mathematics and Mechanics, 2008, 29(2): 203-208.

基于同伦分析方法的一种改进的试位法

详细信息
  • 中图分类号: O241.7

A New Modification of False Position Method Based on the Homotopy Analysis Method

  • 摘要: 应用同伦分析方法,提出了一种求解非线性方程改进的试位法.给出的一些数值例证显示了该运算法则的有效性.
  • [1] Burden R L,Faires J D.Numerical Analysis[M].7th Ed.Pacific Grove,California:Brooks/Cole, 2000.
    [2] Wu T M.A modified formula of ancient Chinese algorithm by the homotopy continuation technique[J].Appl Math Comput,2005,165(1):31-35. doi: 10.1016/j.amc.2004.04.114
    [3] LIAO Shi-jun.The proposed homotopy analysis technique for the solution of nonlinear problems[D].Ph D Thesis.Shanghai:Shanghai Jiaotong University,1992.
    [4] Liao S J. An approximate solution technique which does not depend upon small parameters:a special example[J].International Journal of Nonlinear Mechanics,1995,30(3):371-380. doi: 10.1016/0020-7462(94)00054-E
    [5] Liao S J. An approximate solution technique which does not depend upon small parameters (Part 2):an application in fluid mechanics[J].International Journal of Non-Linear Mechanics,1997,32(5):815-822. doi: 10.1016/S0020-7462(96)00101-1
    [6] Liao S J.An explicit,totally analytic approximation of Blasius viscous flow problems[J].International Journal of Non-Linear Mechanics,1999,34(4):759-778. doi: 10.1016/S0020-7462(98)00056-0
    [7] Liao S J.Beyond Perturbation. Introduction to the Homotopy Analysis Method[M].Boca Raton:Chapman & Hall/CRC Press,2003.
    [8] Liao S J. On the homotopy anaylsis method for nonlinear problems[J].Appl Math Comput,2004,147(2):499-513. doi: 10.1016/S0096-3003(02)00790-7
    [9] Liao S J. Comparison between the homotopy analysis method and homotopy perturbation method[J].Appl Math Comput,2005,169(2):1186-1194. doi: 10.1016/j.amc.2004.10.058
    [10] Ayub M, Rasheed A,Hayat T.Exact flow of a third grade fluid past a porous plate using homotopy analysis method[J].Internat J Engng Sci,2003,41(18):2091-2103. doi: 10.1016/S0020-7225(03)00207-6
    [11] Hayat T, Khan M,Ayub M.On the explicit analytic solutions of an Oldroyd 6-constant fluid[J].Internat J Engng Sci,2004,42(2):123-135. doi: 10.1016/S0020-7225(03)00281-7
    [12] Liao S J.A new branch of solutions of boundary-layer flows over an impermeable stretched plate[J].Internat J Heat Mass Transfer,2005,48(12):2529-2539. doi: 10.1016/j.ijheatmasstransfer.2005.01.005
    [13] Liao S J, Pop I.Explicit analytic solution for similarity boundary layer equations[J].Internat J Heat Mass Transfer,2004,47(1):75-85. doi: 10.1016/S0017-9310(03)00405-8
    [14] Abbasbandy S.Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method[J].Appl Math Comput,2003,145(2/3):887-893. doi: 10.1016/S0096-3003(03)00282-0
    [15] Abbasbandy S.Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method[J].Appl Math Comput,2006,172(1):431-438. doi: 10.1016/j.amc.2005.02.015
    [16] Liao S J. An explicit analytic solution to the Thomas-Fermi equation[J].Appl Math Comput,2003,144(2/3):495-506. doi: 10.1016/S0096-3003(02)00423-X
  • 加载中
计量
  • 文章访问数:  2676
  • HTML全文浏览量:  85
  • PDF下载量:  605
  • 被引次数: 0
出版历程
  • 收稿日期:  2007-08-16
  • 修回日期:  2008-01-14
  • 刊出日期:  2008-02-15

目录

    /

    返回文章
    返回