The Study of Applicability for PLK Method

Tan Jun-yu

Volume 9 Issue 6

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Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(6): 543-551

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.

Citation:

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

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The Study of Applicability for PLK Method

Tan Jun-yu

Chongqing University Chongqing

Received Date: 1987-03-17
Publish Date: 1988-06-15

Abstract

Abstract

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.

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References(7)

References

[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．

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