Tan Jun-yu. The Study of Applicability for PLK Method[J]. Applied Mathematics and Mechanics, 1988, 9(6): 543-551.
Citation: Tan Jun-yu. The Study of Applicability for PLK Method[J]. Applied Mathematics and Mechanics, 1988, 9(6): 543-551.

The Study of Applicability for PLK Method

  • Received Date: 1987-03-17
  • Publish Date: 1988-06-15
  • This paper researches the applicability of the PLK method. We give the general formulae of the asymptotic solution and strained coordinates, and we establish necessary conditions for the applicability PLK method. Besides, the applicability of the approach is also exemplified by means of examples in this paper.
  • loading
  • [1]
    Nayfcn,A.H.,Perturbation Methods,John Wiley,New York,Ch.3(1973).
    [2]
    Wasow,W.A.,On the convergence of an approximation method of M.J.Lighthill,J.Rational Mech.Anal.,4(1955),751-767.
    [3]
    Usher,P.D.,Necessary conditions for applicability of Poincar-Lighthill perturbation theory,Quart.Appl.Math.,28(1971),463-471.
    [4]
    Comstock,C.,On Lighthill's method of strained coordinates,SIAM J.Appl.Math.,16(1968),596-602.
    [5]
    Pritulo,M.F.,On the determination of uniformly accurate solutions of differential equations by the method of perturbation of coordinates,J.Appl.Math.Mech.,26(1962).661-667.
    [6]
    Usher,P.D.,Coordinate stretching and interface,location Ⅱ,a new PL expansion,J.Computational Phys.,29,3(1978),29-39.
    [7]
    Jordan,D.W.and P.Smith.Nonlinear Ordinary Differential Equations,Clarendon Press,Oxford(1977),152-155.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1505) PDF downloads(436) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return