메뉴 건너뛰기




Volumn 16, Issue 1, 2014, Pages 1-14

On the periodic solutions of the nonlinear oscillators

Author keywords

Cosine aftertreatment technique; Differential transformation method; Nonlinear oscillators; Periodic solutions

Indexed keywords

APPROXIMATE PERIODIC SOLUTIONS; COSINE-AFTERTREATMENT TECHNIQUE; DIFFERENTIAL TRANSFORMATION METHODS; NEW APPROACHES; NON-LINEAR OSCILLATORS; PERIODIC SOLUTION;

EID: 84904103058     PISSN: 13928716     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (30)
  • 3
    • 0032040849 scopus 로고    scopus 로고
    • Analysis of general elastically end restrained non-uniform beams using differential transform
    • Shing Huei Ho, Cha'o Kuang Chen Analysis of general elastically end restrained non-uniform beams using differential transform. Applied Mathematical Modelling, Vol. 22, 1998, p. 219-234.
    • (1998) Applied Mathematical Modelling , vol.22 , pp. 219-234
    • Ho, S.H.1    Chen, C.K.2
  • 4
    • 0000443213 scopus 로고    scopus 로고
    • On solving the initial-value problems using the differential transformation method
    • Ming-Jyi Jang, Chieh-Li Chen, Yung-Chin Liy On solving the initial-value problems using the differential transformation method. Appl. Math. Comput., Vol. 115, 2000, p. 145-160.
    • (2000) Appl. Math. Comput. , vol.115 , pp. 145-160
    • Jang, M.-J.1    Chen, C.-L.2    Liy, Y.-C.3
  • 5
    • 0344286739 scopus 로고    scopus 로고
    • Transverse vibration of a rotating twisted Timoshenko beam under axial loading using differential transform
    • Cha'o Kuang Chen, Shing Huei Ho Transverse vibration of a rotating twisted Timoshenko beam under axial loading using differential transform. International Journal of Mechanical Sciences, Vol. 41, 1999, p. 1339-1356.
    • (1999) International Journal of Mechanical Sciences , vol.41 , pp. 1339-1356
    • Chen, C.K.1    Ho, S.H.2
  • 6
    • 0036832913 scopus 로고    scopus 로고
    • Analysis of nonlinear circuits by using differential Taylor transform
    • Muhammet Koksal, Saadetdin Herdem Analysis of nonlinear circuits by using differential Taylor transform. Computers and Electrical Engineering, Vol. 28, 2002, p. 513-525.
    • (2002) Computers and Electrical Engineering , vol.28 , pp. 513-525
    • Koksal, M.1    Herdem, S.2
  • 7
    • 0037054950 scopus 로고    scopus 로고
    • Different applications for the differential transformation in the differential equations
    • I. H. Abdel-Halim Hassan Different applications for the differential transformation in the differential equations. Appl. Math. Comput., Vol. 129, 2002, p. 183-201.
    • (2002) Appl. Math. Comput. , vol.129 , pp. 183-201
    • Abdel-Halim Hassan, I.H.1
  • 8
    • 26044470185 scopus 로고    scopus 로고
    • Solution of boundary value problems for integro-differential equations by using differential transform method
    • Aytac Arikoglu, Ibrahim Ozkol Solution of boundary value problems for integro-differential equations by using differential transform method. Appl. Math. Comput., Vol. 168, 2005, p. 1145-1158.
    • (2005) Appl. Math. Comput. , vol.168 , pp. 1145-1158
    • Arikoglu, A.1    Ozkol, I.2
  • 9
    • 44449088392 scopus 로고    scopus 로고
    • Solution of singular two-point boundary value problems using differential transformation method
    • A. S. V. Ravi Kanth, K. Aruna Solution of singular two-point boundary value problems using differential transformation method. Phys. Lett. A, Vol. 372, 2008, p. 4671-4673.
    • (2008) Phys. Lett. A , vol.372 , pp. 4671-4673
    • Ravi Kanth, A.S.V.1    Aruna, K.2
  • 10
    • 84904202138 scopus 로고    scopus 로고
    • Solving partial differential equations by two-dimensional differential transform method
    • Cha'o Kuang Chen, Shing Huei Ho Solving partial differential equations by two-dimensional differential transform method. Appl. Math. Comput., Vol. 41, p. 171-179.
    • Appl. Math. Comput. , vol.41 , pp. 171-179
    • Chen, C.K.1    Ho, S.H.2
  • 11
    • 0035877251 scopus 로고    scopus 로고
    • Two-dimensional differential transform for partial differential equations
    • Ming-Jyi Jang, Chieh-Li Chen, Yung-Chin Liy Two-dimensional differential transform for partial differential equations. Appl. Math. Comput., Vol. 121, 2001, p. 261-270.
    • (2001) Appl. Math. Comput. , vol.121 , pp. 261-270
    • Jang, M.-J.1    Chen, C.-L.2    Liy, Y.-C.3
  • 12
    • 74849097716 scopus 로고    scopus 로고
    • Approximate periodic solutions for the non-linear relativistic harmonic oscillator via differential transformation method
    • Abd El-Halim Ebaid Approximate periodic solutions for the non-linear relativistic harmonic oscillator via differential transformation method. Commun. Nonlin. Sci. Numer. Simulat, Vol. 15, 2010, p. 1921-1927.
    • (2010) Commun. Nonlin. Sci. Numer. Simulat , vol.15 , pp. 1921-1927
    • Ebaid, A.E.-H.1
  • 13
    • 0141961581 scopus 로고    scopus 로고
    • Solutions of the system of differential equations by differential transform method
    • Fatma Ayaz Solutions of the system of differential equations by differential transform method. Appl. Math. Comput., Vol. 147, 2004, p. 547-567.
    • (2004) Appl. Math. Comput. , vol.147 , pp. 547-567
    • Ayaz, F.1
  • 14
    • 37349013500 scopus 로고    scopus 로고
    • A new algorithm for calculating one-dimensional differential transform of nonlinear functions
    • Shih-Hsiang Chang, I-Ling Chang A new algorithm for calculating one-dimensional differential transform of nonlinear functions. Appl. Math. Comput., Vol. 195, 2008, p. 799-808.
    • (2008) Appl. Math. Comput. , vol.195 , pp. 799-808
    • Chang, S.-H.1    Chang, I.-L.2
  • 15
    • 67649333430 scopus 로고    scopus 로고
    • Two-dimensional differential transform method for solving linear and non-linear Schrodinger equations
    • A. S. V. Ravi Kanth, K. Aruna Two-dimensional differential transform method for solving linear and non-linear Schrodinger equations. Chaos, Solitons and Fractals, Vol. 41, Issue 5, 2009, p. 2277-2281.
    • (2009) Chaos, Solitons and Fractals , vol.41 , Issue.5 , pp. 2277-2281
    • Ravi Kanth, A.S.V.1    Aruna, K.2
  • 16
    • 61849114184 scopus 로고    scopus 로고
    • Differential transform method for solving the linear and nonlinear Klein-Gordon equation
    • A. S. V. Ravi Kanth, K. Aruna Differential transform method for solving the linear and nonlinear Klein-Gordon equation. Computer Physics Communications, Vol. 180, 2009, p. 708-711.
    • (2009) Computer Physics Communications , vol.180 , pp. 708-711
    • Ravi Kanth, A.S.V.1    Aruna, K.2
  • 17
    • 37649020448 scopus 로고    scopus 로고
    • Solutions of non-linear oscillators by the modified differential transform method
    • Shaher Momani, Vedat Suat Erturk Solutions of non-linear oscillators by the modified differential transform method. Computers and Mathematics with Applications, Vol. 55, 2008, p. 833-842.
    • (2008) Computers and Mathematics with Applications , vol.55 , pp. 833-842
    • Momani, S.1    Erturk, V.S.2
  • 18
    • 77955922595 scopus 로고    scopus 로고
    • A reliable aftertreament for improving the differential transformation method and its application to nonlinear oscillators with fractional nonlinearities
    • Abd Elhalim Ebaid A reliable aftertreament for improving the differential transformation method and its application to nonlinear oscillators with fractional nonlinearities. Commun. Nonlin. Sci. Numer. Simulat., Vol. 16, 2011, p. 528-536.
    • (2011) Commun. Nonlin. Sci. Numer. Simulat. , vol.16 , pp. 528-536
    • Ebaid, A.E.1
  • 19
    • 79953308079 scopus 로고    scopus 로고
    • Solution of nonlinear oscillators with fractional nonlinearities by using the modified differential transformation method
    • M. Merdan, A. Gökdoan Solution of nonlinear oscillators with fractional nonlinearities by using the modified differential transformation method. Mathematical and Computational Applications, Vol. 16, Issue 3, 2011, p. 761-772.
    • (2011) Mathematical and Computational Applications , vol.16 , Issue.3 , pp. 761-772
    • Merdan, M.1    Gökdoan, A.2
  • 20
    • 34748917561 scopus 로고    scopus 로고
    • Nonlinear oscillator with discontinuity by parameter-expansion method
    • Shu-Qiang Wang, Ji-Huan He Nonlinear oscillator with discontinuity by parameter-expansion method. Chaos, Solitons and Fractals, Vol. 35, 2008, p. 688-691.
    • (2008) Chaos, Solitons and Fractals , vol.35 , pp. 688-691
    • Wang, S.-Q.1    He, J.-H.2
  • 21
    • 67651204458 scopus 로고    scopus 로고
    • Nonlinear oscillator with discontinuity by the max-min approach
    • De-Qiang Zeng Nonlinear oscillator with discontinuity by the max-min approach. Chaos, Solitons and Fractals, Vol. 42, 2009, p. 2885-2889.
    • (2009) Chaos, Solitons and Fractals , vol.42 , pp. 2885-2889
    • Zeng, D.-Q.1
  • 22
    • 77950188406 scopus 로고    scopus 로고
    • Analysis of a nonlinear oscillator with discontinuity
    • D. Q. Zeng, Y. Y. Lee, C. K. Wong Analysis of a nonlinear oscillator with discontinuity. Comput. Math. Appl., Vol. 59, Issue 8, 2010, p. 2510-2515.
    • (2010) Comput. Math. Appl. , vol.59 , Issue.8 , pp. 2510-2515
    • Zeng, D.Q.1    Lee, Y.Y.2    Wong, C.K.3
  • 23
    • 70350566066 scopus 로고    scopus 로고
    • Application of He's amplitude-frequency formulation to a nonlinear oscillator with discontinuity
    • Hui-Li Zhang Application of He's amplitude-frequency formulation to a nonlinear oscillator with discontinuity. Comput. Math. Appl., Vol. 58, 2009, p. 2197-2198.
    • (2009) Comput. Math. Appl. , vol.58 , pp. 2197-2198
    • Zhang, H.-L.1
  • 24
    • 34447517053 scopus 로고    scopus 로고
    • The variational iteration method for nonlinear oscillators with discontinuity
    • M. Rafei, D. D. Ganji, H. Daniali, H. Pashaei The variational iteration method for nonlinear oscillators with discontinuity. J. Sound. Vib., Vol. 305, 2007, p. 614-620.
    • (2007) J. Sound. Vib. , vol.305 , pp. 614-620
    • Rafei, M.1    Ganji, D.D.2    Daniali, H.3    Pashaei, H.4
  • 25
    • 70350568735 scopus 로고    scopus 로고
    • Variational approach for nonlinear oscillators with discontinuities
    • Da-Hua Shou Variational approach for nonlinear oscillators with discontinuities. Comput. Math. Appl., Vol. 58, 2009, p. 2416-2419.
    • (2009) Comput. Math. Appl. , vol.58 , pp. 2416-2419
    • Shou, D.-H.1
  • 26
    • 84861182741 scopus 로고    scopus 로고
    • Status of the differential transformation method
    • C. Bervillier Status of the differential transformation method. Appl. Math. Comput., Vol. 218, 2012, p. 10158-10170.
    • (2012) Appl. Math. Comput. , vol.218 , pp. 10158-10170
    • Bervillier, C.1
  • 27
    • 80052258836 scopus 로고    scopus 로고
    • Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations
    • S. Abbasbandy, C. Bervillier Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations. Appl. Math. Comput., Vol. 218, 2011, p. 2178-2199.
    • (2011) Appl. Math. Comput. , vol.218 , pp. 2178-2199
    • Abbasbandy, S.1    Bervillier, C.2
  • 28
    • 0020143282 scopus 로고
    • Solving ordinary differential equations using Taylor series
    • G. Corliss, Y. F. Chang Solving ordinary differential equations using Taylor series. ACM Trans. Math. Software, Vol. 8, 1982, p. 114.
    • (1982) ACM Trans. Math. Software , vol.8 , pp. 114
    • Corliss, G.1    Chang, Y.F.2
  • 29
  • 30
    • 84861185217 scopus 로고    scopus 로고
    • High-precision computation: Mathematical physics and dynamics
    • D. H. Bailey, R. Barrio, J. M. Borwein High-precision computation: mathematical physics and dynamics. Appl. Math. Comput., Vol. 218, 2012, p. 10106-10121.
    • (2012) Appl. Math. Comput. , vol.218 , pp. 10106-10121
    • Bailey, D.H.1    Barrio, R.2    Borwein, J.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.