메뉴 건너뛰기




Volumn 175, Issue 1, 2006, Pages 581-589

Iterated He's homotopy perturbation method for quadratic Riccati differential equation

Author keywords

Adomian decomposition method; Homotopy perturbation method; Riccati equation

Indexed keywords

DECOMPOSITION; DIFFERENTIAL EQUATIONS; RICCATI EQUATIONS;

EID: 33644885770     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.07.035     Document Type: Article
Times cited : (105)

References (26)
  • 2
    • 0021865952 scopus 로고
    • On the solution of algebraic equations by the decomposition method
    • G. Adomian, and R. Rach On the solution of algebraic equations by the decomposition method Math. Anal. Appl. 105 1985 141 166
    • (1985) Math. Anal. Appl. , vol.105 , pp. 141-166
    • Adomian, G.1    Rach, R.2
  • 3
    • 17844395724 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method to Volterra's integro-differential equation
    • M. El-Shahed Application of He's homotopy perturbation method to Volterra's integro-differential equation Int. J. Nonlinear Sci. Numer. Simul. 6 2 2005 163 168
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , Issue.2 , pp. 163-168
    • El-Shahed, M.1
  • 4
    • 4444374711 scopus 로고    scopus 로고
    • Solving Riccati differential equation using Adomian's decomposition method
    • M.A. El-Tawil, A.A. Bahnasawi, and A. Abdel-Naby Solving Riccati differential equation using Adomian's decomposition method Appl. Math. Comput. 157 2004 503 514
    • (2004) Appl. Math. Comput. , vol.157 , pp. 503-514
    • El-Tawil, M.A.1    Bahnasawi, A.A.2    Abdel-Naby, A.3
  • 5
    • 0035218927 scopus 로고    scopus 로고
    • Generalized homotopy approach to multiobjective optimization
    • C. Hillermeier Generalized homotopy approach to multiobjective optimization Int. J. Optim. Theory Appl. 110 3 2001 557 583
    • (2001) Int. J. Optim. Theory Appl. , vol.110 , Issue.3 , pp. 557-583
    • Hillermeier, C.1
  • 6
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • J.H. He Approximate analytical solution for seepage flow with fractional derivatives in porous media Comput. Methods Appl. Mech. Eng. 167 1-2 1998 57 68
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.167 , Issue.1-2 , pp. 57-68
    • He, J.H.1
  • 7
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product nonlinearities
    • J.H. He Approximate solution of nonlinear differential equations with convolution product nonlinearities Comput. Methods Appl. Mech. Eng. 167 1-2 1998 69 73
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.167 , Issue.1-2 , pp. 69-73
    • He, J.H.1
  • 8
    • 0013403638 scopus 로고    scopus 로고
    • An approximate solution technique depending upon an artificial parameter
    • J.H. He An approximate solution technique depending upon an artificial parameter Commun. Nonlinear Sci. Simulat. 3 2 1998 92 97
    • (1998) Commun. Nonlinear Sci. Simulat. , vol.3 , Issue.2 , pp. 92-97
    • He, J.H.1
  • 9
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method: A kind of nonlinear analytical technique: Some examples
    • J.H. He Variational iteration method: a kind of nonlinear analytical technique: some examples Int. J. Non-Linear Mech. 34 4 1999 699 708
    • (1999) Int. J. Non-Linear Mech. , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 10
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • J.H. He Homotopy perturbation technique Comput. Methods Appl. Mech. Eng. 178 3/4 1999 257 262
    • (1999) Comput. Methods Appl. Mech. Eng. , vol.178 , Issue.34 , pp. 257-262
    • He, J.H.1
  • 11
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of homotopy technique and perturbation technique for nonlinear problems
    • J.H. He A coupling method of homotopy technique and perturbation technique for nonlinear problems Int. J. Nonlinear Mech. 35 1 2000 37 43
    • (2000) Int. J. Nonlinear Mech. , vol.35 , Issue.1 , pp. 37-43
    • He, J.H.1
  • 12
    • 0002734020 scopus 로고    scopus 로고
    • A review on some new recently developed nonlinear analytical techniques
    • J.H. He A review on some new recently developed nonlinear analytical techniques Int. J. Nonlinear Sci. Numer. Simul. 1 1 2000 51 70
    • (2000) Int. J. Nonlinear Sci. Numer. Simul. , vol.1 , Issue.1 , pp. 51-70
    • He, J.H.1
  • 13
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • J.H. He Variational iteration method for autonomous ordinary differential systems Appl. Math. Comput. 114 2-3 2000 115 123
    • (2000) Appl. Math. Comput. , vol.114 , Issue.2-3 , pp. 115-123
    • He, J.H.1
  • 14
    • 0035601179 scopus 로고    scopus 로고
    • Bookkeeping parameter in perturbation methods
    • J.H. He Bookkeeping parameter in perturbation methods Int. J. Nonlinear Sci. Numer. Simul. 2 3 2001 257 264
    • (2001) Int. J. Nonlinear Sci. Numer. Simul. , vol.2 , Issue.3 , pp. 257-264
    • He, J.H.1
  • 15
    • 0035603591 scopus 로고    scopus 로고
    • Modified Lindsted-Poincare methods for some strongly nonlinear oscillations, Part III: Double series expansion
    • J.H. He Modified Lindsted-Poincare methods for some strongly nonlinear oscillations, Part III: Double series expansion Int. J. Nonlinear Sci. Numer. Simul. 2 4 2001 317 320
    • (2001) Int. J. Nonlinear Sci. Numer. Simul. , vol.2 , Issue.4 , pp. 317-320
    • He, J.H.1
  • 16
    • 0036489498 scopus 로고    scopus 로고
    • Modified Lindstedt-Poincare methods for some strongly non-linear oscillations, Part I: Expansion of a constant
    • J.H. He Modified Lindstedt-Poincare methods for some strongly non-linear oscillations, Part I: expansion of a constant Int. J. Nonlinear Mech. 37 2 2002 309 314
    • (2002) Int. J. Nonlinear Mech. , vol.37 , Issue.2 , pp. 309-314
    • He, J.H.1
  • 17
    • 0036489502 scopus 로고    scopus 로고
    • Modified Lindstedt-Poincare methods for some strongly non-linear oscillations, Part II: A new transformation
    • J.H. He Modified Lindstedt-Poincare methods for some strongly non-linear oscillations, Part II: a new transformation Int. J. Nonlinear Mech. 37 2 2002 315 320
    • (2002) Int. J. Nonlinear Mech. , vol.37 , Issue.2 , pp. 315-320
    • He, J.H.1
  • 18
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method for nonlinear oscillators with discontinuities
    • J.H. He The homotopy perturbation method for nonlinear oscillators with discontinuities Appl. Math. Comput. 151 2004 287 292
    • (2004) Appl. Math. Comput. , vol.151 , pp. 287-292
    • He, J.H.1
  • 19
    • 3943092529 scopus 로고    scopus 로고
    • Comparison of homotopy perturbtion method and homotopy analysis method
    • J.H. He Comparison of homotopy perturbtion method and homotopy analysis method Appl. Math. Comput. 156 2004 527 539
    • (2004) Appl. Math. Comput. , vol.156 , pp. 527-539
    • He, J.H.1
  • 20
    • 4344696077 scopus 로고    scopus 로고
    • Asymptotology by homotopy perturbtion method
    • J.H. He Asymptotology by homotopy perturbtion method Appl. Math. Comput. 156 2004 591 596
    • (2004) Appl. Math. Comput. , vol.156 , pp. 591-596
    • He, J.H.1
  • 21
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • J.H. He Homotopy perturbation method for bifurcation of nonlinear problems Int. J. Nonlinear Sci. Numer. Simul. 6 2 2005 207 208
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , Issue.2 , pp. 207-208
    • He, J.H.1
  • 22
    • 10244263652 scopus 로고    scopus 로고
    • An iteration formulation for normalized diode characteristics
    • J.H. He, Y.Q. Wan, and Q. Guo An iteration formulation for normalized diode characteristics Int. J. Circ. Theor. Appl. 32 6 2004 629 632
    • (2004) Int. J. Circ. Theor. Appl. , vol.32 , Issue.6 , pp. 629-632
    • He, J.H.1    Wan, Y.Q.2    Guo, Q.3
  • 23
    • 4243080805 scopus 로고    scopus 로고
    • Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt-Poincare method
    • H.M. Liu Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt-Poincare method Chaos, Solitons & Fractals 23 2 2005 577 579
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.2 , pp. 577-579
    • Liu, H.M.1
  • 25
    • 18444379366 scopus 로고    scopus 로고
    • A new Riccati equation rational expansion method and its application to (2 + 1)-dimensional Burgers equation
    • Q. Wang, Y. Chen, and H.Q. Zhang A new Riccati equation rational expansion method and its application to (2 + 1)-dimensional Burgers equation Chaos, Solitons & Fractals 25 5 2005 1019 1028
    • (2005) Chaos, Solitons & Fractals , vol.25 , Issue.5 , pp. 1019-1028
    • Wang, Q.1    Chen, Y.2    Zhang, H.Q.3
  • 26
    • 0141504330 scopus 로고    scopus 로고
    • Exact travelling wave solutions for a class of nonlinear partial differential equations
    • F. Xie, and X. Gao Exact travelling wave solutions for a class of nonlinear partial differential equations Chaos, Solitons & Fractals 19 5 2004 1113 1117
    • (2004) Chaos, Solitons & Fractals , vol.19 , Issue.5 , pp. 1113-1117
    • Xie, F.1    Gao, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.