메뉴 건너뛰기




Volumn 15, Issue 8, 2010, Pages 2017-2025

Relationship between the homotopy analysis method and harmonic balance method

Author keywords

Harmonic balance method; Homotopy analysis method; Relationship

Indexed keywords

ANALYSIS METHOD; EXCITED SYSTEMS; HARMONIC BALANCE METHOD; HIGHER-ORDER APPROXIMATION; HOMOTOPY ANALYSE METHOD; HOMOTOPY ANALYSIS; LIMIT-CYCLE; PERIODIC SOLUTION; RELATIONSHIP; SELF - EXCITED;

EID: 76049104661     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.08.004     Document Type: Article
Times cited : (12)

References (18)
  • 1
    • 0026998433 scopus 로고
    • A second-order approximate analytical solution of a simple pendulum by the process analysis method
    • Liao S.J. A second-order approximate analytical solution of a simple pendulum by the process analysis method. J Appl Mech 59 (1992) 970-975
    • (1992) J Appl Mech , vol.59 , pp. 970-975
    • Liao, S.J.1
  • 2
    • 0000615571 scopus 로고
    • An approximate solution technique not depending on small parameters: a special example
    • Liao S.J. An approximate solution technique not depending on small parameters: a special example. Int J Non-linear Mech 30 (1995) 371-380
    • (1995) Int J Non-linear Mech , vol.30 , pp. 371-380
    • Liao, S.J.1
  • 3
    • 0031232480 scopus 로고    scopus 로고
    • A kind of approximate solution technique which does not depend upon small parameters - II: an application in fluid mechanics
    • Liao S.J. A kind of approximate solution technique which does not depend upon small parameters - II: an application in fluid mechanics. Int J Non-linear Mech 32 5 (1997) 815-822
    • (1997) Int J Non-linear Mech , vol.32 , Issue.5 , pp. 815-822
    • Liao, S.J.1
  • 4
    • 0141961626 scopus 로고    scopus 로고
    • On the homotopy analysis method for nonlinear problems
    • Liao S.J. On the homotopy analysis method for nonlinear problems. Appl Math Comput 147 (2004) 499-513
    • (2004) Appl Math Comput , vol.147 , pp. 499-513
    • Liao, S.J.1
  • 5
    • 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. Int J Non-linear Mech 34 (1999) 759-778
    • (1999) Int J Non-linear Mech , vol.34 , pp. 759-778
    • Liao, S.J.1
  • 6
    • 26844487797 scopus 로고    scopus 로고
    • An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate
    • Liao S.J. An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Commun Nonlinear Sci Numer Simul. 11 (2006) 326-339
    • (2006) Commun Nonlinear Sci Numer Simul. , vol.11 , pp. 326-339
    • Liao, S.J.1
  • 7
    • 34848880798 scopus 로고    scopus 로고
    • Homotopy analysis method for quadratic Riccati differential equation
    • Tan Y., and Abbasbandy S. Homotopy analysis method for quadratic Riccati differential equation. Commun Nonlinear Sci Numer Simul 13 (2008) 539-546
    • (2008) Commun Nonlinear Sci Numer Simul , vol.13 , pp. 539-546
    • Tan, Y.1    Abbasbandy, S.2
  • 8
    • 50249117853 scopus 로고    scopus 로고
    • Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method
    • Rashidi M.M., Domairry G., and Dinarvand S. Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method. Commun Nonlinear Sci Numer Simulat 14 (2009) 708-717
    • (2009) Commun Nonlinear Sci Numer Simulat , vol.14 , pp. 708-717
    • Rashidi, M.M.1    Domairry, G.2    Dinarvand, S.3
  • 9
    • 35448933724 scopus 로고    scopus 로고
    • Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
    • Abbasbandy S., and Samadian Zakaria F. Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Nonlinear Dyn 51 (2008) 83-87
    • (2008) Nonlinear Dyn , vol.51 , pp. 83-87
    • Abbasbandy, S.1    Samadian Zakaria, F.2
  • 10
    • 56049101374 scopus 로고    scopus 로고
    • A study of homotopy analysis method for limit cycle of van der Pol equation
    • Chen Y.M., and Liu J.K. A study of homotopy analysis method for limit cycle of van der Pol equation. Commun Nonlinear Sci Numer Simul 14 (2009) 1816-1821
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 1816-1821
    • Chen, Y.M.1    Liu, J.K.2
  • 14
    • 0016985760 scopus 로고
    • Nonlinear stochastic differential equations
    • Adomian G. Nonlinear stochastic differential equations. J Math Anal Appl 55 (1976) 441-452
    • (1976) J Math Anal Appl , vol.55 , pp. 441-452
    • Adomian, G.1
  • 17
    • 0021502380 scopus 로고
    • Perturbation analysis of the limit cycle of the free van der Pol equation
    • Geer J.F., Dadfar M.B., and Andersen C. Perturbation analysis of the limit cycle of the free van der Pol equation. SIAM J Appl Math 44 5 (1984) 881-895
    • (1984) SIAM J Appl Math , vol.44 , Issue.5 , pp. 881-895
    • Geer, J.F.1    Dadfar, M.B.2    Andersen, C.3
  • 18
    • 50249175067 scopus 로고    scopus 로고
    • Elliptic harmonic balance method for two degree-of-freedom self-excited oscillators
    • Chen Y.M., and Liu J.K. Elliptic harmonic balance method for two degree-of-freedom self-excited oscillators. Commun Nonlinear Sci Numer Simul 14 (2009) 916-922
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 916-922
    • Chen, Y.M.1    Liu, J.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.