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Volumn 19, Issue 2, 1999, Pages 93-110

Simple approach of enlarging convergence regions of perturbation approximations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; RICCATI EQUATIONS;

EID: 0032653126     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008373627897     Document Type: Article
Times cited : (29)

References (15)
  • 1
    • 0000021416 scopus 로고
    • Power series expansions for the frequency and period of the limit cycle of the Van der Pol equation
    • Andersen, C. M. and Geer, J. F., 'Power series expansions for the frequency and period of the limit cycle of the Van der Pol equation', SIAM Journal of Applied Mathematics 42(3), 1982, 678-693.
    • (1982) SIAM Journal of Applied Mathematics , vol.42 , Issue.3 , pp. 678-693
    • Andersen, C.M.1    Geer, J.F.2
  • 2
    • 0345371762 scopus 로고
    • The method of matched asymptotic expansions for the periodic solution of the Van der Pol equation
    • Bavinck, H. and Grasman, J., 'The method of matched asymptotic expansions for the periodic solution of the Van der Pol equation', International Journal of Non-Linear Mechanics 9, 1974, 421-428.
    • (1974) International Journal of Non-Linear Mechanics , vol.9 , pp. 421-428
    • Bavinck, H.1    Grasman, J.2
  • 4
    • 0021502380 scopus 로고
    • Perturbation analysis of the limit cycle of the free Van der pol equation
    • Dadfar, M. B., Geer, J., and Andersen, C. A., 'Perturbation analysis of the limit cycle of the free Van der pol equation', SIAM Journal of Applied Mathematics 44(5), 1984, 881-895.
    • (1984) SIAM Journal of Applied Mathematics , vol.44 , Issue.5 , pp. 881-895
    • Dadfar, M.B.1    Geer, J.2    Andersen, C.A.3
  • 7
    • 0000615571 scopus 로고
    • An approximate solution technique which does not depend upon small parameters: A special example
    • Liao, S. J., 'An approximate solution technique which does not depend upon small parameters: a special example', International Journal of Non-Linear Mechanics 30, 1995, 371-380.
    • (1995) International Journal of Non-Linear Mechanics , vol.30 , pp. 371-380
    • Liao, S.J.1
  • 8
    • 0031232480 scopus 로고    scopus 로고
    • An approximate solution technique which does not depend upon small parameters (2): An application in fluid mechanics
    • Liao, S. J., 'An approximate solution technique which does not depend upon small parameters (2): An application in fluid mechanics', International Journal of Non-Linear Mechanics 32(5), 1997, 815-822.
    • (1997) International Journal of Non-Linear Mechanics , vol.32 , Issue.5 , pp. 815-822
    • Liao, S.J.1
  • 9
    • 0000494305 scopus 로고    scopus 로고
    • An explicit, totally analytic approximate solution for Blasius viscous flow problems
    • Liao, S. J., 'An explicit, totally analytic approximate solution for Blasius viscous flow problems', International Journal of Non-Linear Mechanics 34(4), 1999, 759-778.
    • (1999) International Journal of Non-Linear Mechanics , vol.34 , Issue.4 , pp. 759-778
    • Liao, S.J.1
  • 10
    • 0032640240 scopus 로고    scopus 로고
    • A uniformly valid analytic solution of two dimensional viscous flow over a semi-infinite flat plate
    • Liao, S. J., 'A uniformly valid analytic solution of two dimensional viscous flow over a semi-infinite flat plate', Journal of Fluid Mechanics 385, 1999, 101-128.
    • (1999) Journal of Fluid Mechanics , vol.385 , pp. 101-128
    • Liao, S.J.1
  • 12
    • 0024106908 scopus 로고
    • Perturbation procedure for the Van der Pol oscillator based on the Hopf bifurcation theorem
    • Mickens, R. E., 'Perturbation procedure for the Van der Pol oscillator based on the Hopf bifurcation theorem', Journal of Sound and Vibration 127, 1988, 187-194.
    • (1988) Journal of Sound and Vibration , vol.127 , pp. 187-194
    • Mickens, R.E.1
  • 13
    • 0007418361 scopus 로고
    • Numerical study of periodic solution of Van der Pol equation
    • Academic Press, New York
    • Urabe, M., 'Numerical study of periodic solution of Van der Pol equation', in Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, New York, 1963, pp. 184-192.
    • (1963) Nonlinear Differential Equations and Nonlinear Mechanics , pp. 184-192
    • Urabe, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.