메뉴 건너뛰기




Volumn 15, Issue 8, 2010, Pages 2026-2036

A one-step optimal homotopy analysis method for nonlinear differential equations

Author keywords

Convergence control; Homotopy analysis method (HAM); Nonlinear differential equation; OHAM; Optimal approach

Indexed keywords

CONTROL NONLINEARITIES; DIFFERENTIAL EQUATIONS; NONLINEAR ANALYSIS; NONLINEAR EQUATIONS; TIME SERIES ANALYSIS;

EID: 76049095528     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.08.014     Document Type: Article
Times cited : (84)

References (16)
  • 3
    • 0031232480 scopus 로고    scopus 로고
    • An approximate solution technique which does not depend upon small parameters (Part 2): an application in fluid mechanics
    • Liao S.J. An approximate solution technique which does not depend upon small parameters (Part 2): an application in fluid mechanics. Int J Nonlinear Mechanics 32:5 (1997) 815-822
    • (1997) Int J Nonlinear Mechanics , vol.32 5 , pp. 815-822
    • Liao, S.J.1
  • 4
    • 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 (1999) 759-778
    • (1999) International Journal of Non-Linear Mechanics , vol.34 , pp. 759-778
    • Liao, S.J.1
  • 5
    • 34848900880 scopus 로고    scopus 로고
    • A general approach to obtain series solutions of nonlinear differential equation
    • Liao S.J., and Tan Y. A general approach to obtain series solutions of nonlinear differential equation. Studies in Applied Mathematics 119 (2007) 297-354
    • (2007) Studies in Applied Mathematics , vol.119 , pp. 297-354
    • Liao, S.J.1    Tan, Y.2
  • 6
    • 55549136027 scopus 로고    scopus 로고
    • Notes on the homotopy analysis method: Some definitions and theorems
    • Liao S.J. Notes on the homotopy analysis method: Some definitions and theorems. Commun Nonlinear Sci Numer Simulat 14 (2009) 983-997
    • (2009) Commun Nonlinear Sci Numer Simulat , vol.14 , pp. 983-997
    • Liao, S.J.1
  • 7
    • 33750339270 scopus 로고    scopus 로고
    • The application of the homotopy analysis method to nonlinear equations arising in heat transfe
    • Abbasbandy S. The application of the homotopy analysis method to nonlinear equations arising in heat transfe. Physics Letters A 360 (2006) 109-113
    • (2006) Physics Letters A , vol.360 , pp. 109-113
    • Abbasbandy, S.1
  • 8
    • 48249122259 scopus 로고    scopus 로고
    • Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations
    • Sajid M., and Hayat T. Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations. Nonlinear Analysis: Real World Applications 9 (2008) 2296-2301
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , pp. 2296-2301
    • Sajid, M.1    Hayat, T.2
  • 9
    • 67349162538 scopus 로고    scopus 로고
    • Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
    • Liang S.X., and Jeffrey D.J. Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. Communications in Nonlinear Science and Numerical Simulation 14 (2009) 4057-4064
    • (2009) Communications in Nonlinear Science and Numerical Simulation , vol.14 , pp. 4057-4064
    • Liang, S.X.1    Jeffrey, D.J.2
  • 10
    • 34547420243 scopus 로고    scopus 로고
    • An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
    • Yabushita K., Yamashita M., and Tsuboi K. An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method. J. Phys. A: Mathematical and Theoretical 40 (2007) 8403-8416
    • (2007) J. Phys. A: Mathematical and Theoretical , vol.40 , pp. 8403-8416
    • Yabushita, K.1    Yamashita, M.2    Tsuboi, K.3
  • 11
    • 56549099578 scopus 로고    scopus 로고
    • Homotopy solution for nonlinear differential equations in wave propagation problems
    • Wu Y.Y., and Chueng K.F. Homotopy solution for nonlinear differential equations in wave propagation problems. Wave Motion 46 (2009) 1-14
    • (2009) Wave Motion , vol.46 , pp. 1-14
    • Wu, Y.Y.1    Chueng, K.F.2
  • 13
    • 43449134670 scopus 로고    scopus 로고
    • Application of pptimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer
    • Marinca V., and Herisanu N. Application of pptimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer. International Communications in Heat and Mass Transfer 35 (2008) 710-715
    • (2008) International Communications in Heat and Mass Transfer , vol.35 , pp. 710-715
    • Marinca, V.1    Herisanu, N.2
  • 14
    • 56949103791 scopus 로고    scopus 로고
    • An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
    • Marinca V., Hersanu N., et al. An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate. Applied Mathematics Letters 22 (2009) 245-251
    • (2009) Applied Mathematics Letters , vol.22 , pp. 245-251
    • Marinca, V.1    Hersanu, N.2
  • 16
    • 85196209447 scopus 로고    scopus 로고
    • The series solution of problems in the calculus of variations via the homotopy analysis Mmethod
    • Abbasbandy S., and Shirzadi A. The series solution of problems in the calculus of variations via the homotopy analysis Mmethod. Z. Zaturforsch 87 (2009) 1-14
    • (2009) Z. Zaturforsch , vol.87 , pp. 1-14
    • Abbasbandy, S.1    Shirzadi, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.