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Volumn 171, Issue 2, 2005, Pages 1095-1103

A numerical implementation of the decomposition method for the Lienard equation

Author keywords

Numerical solutions; The Adomian decomposition method; The Lienard equation

Indexed keywords

DECOMPOSITION; NUMERICAL ANALYSIS;

EID: 31144467200     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.104     Document Type: Article
Times cited : (19)

References (23)
  • 1
    • 0019080531 scopus 로고
    • Dynamics of the van der Pol equation
    • J. Guckenheimer Dynamics of the van der Pol equation IEEE Trans. Circ. Syst. 27 1980 983 989
    • (1980) IEEE Trans. Circ. Syst. , vol.27 , pp. 983-989
    • Guckenheimer, J.1
  • 4
    • 0001118845 scopus 로고
    • Explicit exact solutions for the Lienard equation and its applications
    • D. Kong Explicit exact solutions for the Lienard equation and its applications Phys. Lett. A 196 1995 301 306
    • (1995) Phys. Lett. A , vol.196 , pp. 301-306
    • Kong, D.1
  • 5
    • 0037147999 scopus 로고    scopus 로고
    • On explicit exact solutions for the Lienard equation and its applications
    • Z. Feng On explicit exact solutions for the Lienard equation and its applications Phys. Lett. A 293 2002 50 56
    • (2002) Phys. Lett. A , vol.293 , pp. 50-56
    • Feng, Z.1
  • 7
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • G. Adomian A review of the decomposition method in applied mathematics J. Math. Anal. Appl. 135 1988 501 544
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1
  • 10
    • 0040313517 scopus 로고    scopus 로고
    • A reliable modification of Adomian decomposition method
    • A.M. Wazwaz A reliable modification of Adomian decomposition method Appl. Math. Comput. 102 1999 77 86
    • (1999) Appl. Math. Comput. , vol.102 , pp. 77-86
    • Wazwaz, A.M.1
  • 12
    • 84970868898 scopus 로고
    • Convergence of Adomian's method
    • Y. Cherruault Convergence of Adomian's method Kybernetes 18 1989 31 38
    • (1989) Kybernetes , vol.18 , pp. 31-38
    • Cherruault, Y.1
  • 13
    • 0002588102 scopus 로고
    • Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
    • A. Rèpaci Nonlinear dynamical systems: on the accuracy of Adomian's decomposition method Appl. Math. Lett. 3 1990 35 39
    • (1990) Appl. Math. Lett. , vol.3 , pp. 35-39
    • Rèpaci, A.1
  • 14
    • 0000395259 scopus 로고
    • Decomposition methods: A new proof of convergence
    • Y. Cherruault, and G. Adomian Decomposition methods: a new proof of convergence Math. Comput. Model. 18 1993 103 106
    • (1993) Math. Comput. Model. , vol.18 , pp. 103-106
    • Cherruault, Y.1    Adomian, G.2
  • 15
    • 43949159125 scopus 로고
    • Convergence of Adomian's method applied to differential equations
    • K. Abbaoui, and Y. Cherruault Convergence of Adomian's method applied to differential equations Comput. Math. Appl. 28 1994 103 109
    • (1994) Comput. Math. Appl. , vol.28 , pp. 103-109
    • Abbaoui, K.1    Cherruault, Y.2
  • 16
    • 0000487641 scopus 로고
    • New ideas for proving convergence of decomposition methods
    • K. Abbaoui, and Y. Cherruault New ideas for proving convergence of decomposition methods Comput. Math. Appl. 29 1995 103 108
    • (1995) Comput. Math. Appl. , vol.29 , pp. 103-108
    • Abbaoui, K.1    Cherruault, Y.2
  • 18
    • 0036347259 scopus 로고    scopus 로고
    • New numerical study of Adomian method applied to a diffusion model
    • N. Ngarhasta, B. Some, K. Abbaoui, and Y. Cherruault New numerical study of Adomian method applied to a diffusion model Kybernetes 31 2002 61 75
    • (2002) Kybernetes , vol.31 , pp. 61-75
    • Ngarhasta, N.1    Some, B.2    Abbaoui, K.3    Cherruault, Y.4
  • 19
    • 0033659732 scopus 로고    scopus 로고
    • An application of the decomposition method on second order wave equations
    • D. Kaya An application of the decomposition method on second order wave equations Int. J. Comput. Math. 75 2000 235 245
    • (2000) Int. J. Comput. Math. , vol.75 , pp. 235-245
    • Kaya, D.1
  • 20
    • 0038013498 scopus 로고    scopus 로고
    • Explicit solution of a generalized nonlinear Boussinesq equation
    • D. Kaya Explicit solution of a generalized nonlinear Boussinesq equation J. Appl. Math. 1 2001 29 37
    • (2001) J. Appl. Math. , vol.1 , pp. 29-37
    • Kaya, D.1
  • 21
    • 0036645762 scopus 로고    scopus 로고
    • An application for a generalized KdV equation by decomposition method
    • D. Kaya, and M. Aassila An application for a generalized KdV equation by decomposition method Phys. Lett. A 299 2002 201 206
    • (2002) Phys. Lett. A , vol.299 , pp. 201-206
    • Kaya, D.1    Aassila, M.2
  • 22
    • 0038112095 scopus 로고    scopus 로고
    • An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
    • D. Kaya An explicit and numerical solutions of some fifth-order KdV equation by decomposition method Appl. Math. Comp. 144 2003 353 363
    • (2003) Appl. Math. Comp. , vol.144 , pp. 353-363
    • Kaya, D.1
  • 23
    • 0037411749 scopus 로고    scopus 로고
    • An application of the decomposition method for the generalized KdV and RLW equations
    • D. Kaya, and Salah M. El-Sayed An application of the decomposition method for the generalized KdV and RLW equations Chaos, Solitons & Fractals 17 2003 869 877
    • (2003) Chaos, Solitons & Fractals , vol.17 , pp. 869-877
    • Kaya, D.1    El-Sayed Salah, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.