메뉴 건너뛰기




Volumn 39, Issue 5, 2009, Pages 2093-2101

Adomian decomposition method by Legendre polynomials

Author keywords

[No Author keywords available]

Indexed keywords

ADOMIAN DECOMPOSITION METHOD; LEGENDRE POLYNOMIALS; NON-LINEAR MODEL;

EID: 64049093900     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.06.066     Document Type: Article
Times cited : (21)

References (18)
  • 1
    • 33646481923 scopus 로고    scopus 로고
    • A numerical solution of the coupled sine-Gordon equation using the modified decomposition method
    • Saha Ray S. A numerical solution of the coupled sine-Gordon equation using the modified decomposition method. Appl Math Comput 175 (2006) 1046-1054
    • (2006) Appl Math Comput , vol.175 , pp. 1046-1054
    • Saha Ray, S.1
  • 2
    • 0037052586 scopus 로고    scopus 로고
    • A new method for solving singular initial value problems in the second-order ordinary differential equations
    • Wazwaz A.M. A new method for solving singular initial value problems in the second-order ordinary differential equations. Appl Math Comput 128 (2002) 45-57
    • (2002) Appl Math Comput , vol.128 , pp. 45-57
    • Wazwaz, A.M.1
  • 3
    • 0035882676 scopus 로고    scopus 로고
    • A new modification of the Adomian decomposition method for linear and nonlinear operators
    • Wazwaz A.M., and El-Sayed S.M. A new modification of the Adomian decomposition method for linear and nonlinear operators. Appl Math Comput 122 (2001) 393-405
    • (2001) Appl Math Comput , vol.122 , pp. 393-405
    • Wazwaz, A.M.1    El-Sayed, S.M.2
  • 4
    • 33748425302 scopus 로고    scopus 로고
    • Numerical comparison of methods for solving linear differential equations of fractional order
    • Momani S., and Odibat Z. Numerical comparison of methods for solving linear differential equations of fractional order. Chaos, Solitons & Fractals 31 (2007) 1248-1255
    • (2007) Chaos, Solitons & Fractals , vol.31 , pp. 1248-1255
    • Momani, S.1    Odibat, Z.2
  • 5
    • 33744969617 scopus 로고    scopus 로고
    • Numerical solution of Duffing equation by the Laplace decomposition algorithm
    • Yusufoglu E. Numerical solution of Duffing equation by the Laplace decomposition algorithm. Appl Math Comput 177 (2006) 572-580
    • (2006) Appl Math Comput , vol.177 , pp. 572-580
    • Yusufoglu, E.1
  • 6
    • 0035452509 scopus 로고    scopus 로고
    • Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
    • Wazwaz A.M. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. Chaos, Solitons & Fractals 12 (2001) 2283-2293
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 2283-2293
    • Wazwaz, A.M.1
  • 7
    • 33845190829 scopus 로고    scopus 로고
    • Exact and numerical solitary wave solutions of generalized Zakharov equation by the Adomian decomposition method
    • Wang Y.-Y., Dai C.-Q., Wu L., and Zhang J.-F. Exact and numerical solitary wave solutions of generalized Zakharov equation by the Adomian decomposition method. Chaos, Solitons & Fractals 32 (2007) 1208-1214
    • (2007) Chaos, Solitons & Fractals , vol.32 , pp. 1208-1214
    • Wang, Y.-Y.1    Dai, C.-Q.2    Wu, L.3    Zhang, J.-F.4
  • 8
    • 0035372279 scopus 로고    scopus 로고
    • Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
    • Wazwaz A.M. Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method. Chaos, Solitons & Fractals 12 (2001) 1549-1556
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 1549-1556
    • Wazwaz, A.M.1
  • 9
    • 0005338184 scopus 로고    scopus 로고
    • An Algorithm for solving boundary value problem
    • Deeba E., Khuri S.A., and Xie S. An Algorithm for solving boundary value problem. J Comput Phys 159 (2000) 125-138
    • (2000) J Comput Phys , vol.159 , pp. 125-138
    • Deeba, E.1    Khuri, S.A.2    Xie, S.3
  • 10
    • 33645868618 scopus 로고    scopus 로고
    • Experimentation with two-step Adomian decomposition method to solve evolution models
    • Zhang B.Q., Wu Q.B., and Luo X.G. Experimentation with two-step Adomian decomposition method to solve evolution models. Appl Math Comput 175 (2006) 1495-1502
    • (2006) Appl Math Comput , vol.175 , pp. 1495-1502
    • Zhang, B.Q.1    Wu, Q.B.2    Luo, X.G.3
  • 11
    • 0040313517 scopus 로고    scopus 로고
    • A reliable modification of Adomian decomposition method
    • Wazwaz A.M. 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
    • 33744987961 scopus 로고    scopus 로고
    • Adomian decomposition method for solving the diffusion-convection-reaction equations
    • El-Wakil S.A., Abdou M.A., and Elhanbaly A. Adomian decomposition method for solving the diffusion-convection-reaction equations. Appl Math Comput 177 (2006) 729-736
    • (2006) Appl Math Comput , vol.177 , pp. 729-736
    • El-Wakil, S.A.1    Abdou, M.A.2    Elhanbaly, A.3
  • 14
    • 33645877651 scopus 로고    scopus 로고
    • Adomian decomposition method with Chebyshev polynomials
    • Hosseini M.M. Adomian decomposition method with Chebyshev polynomials. Appl Math Comput 175 (2006) 1685-1693
    • (2006) Appl Math Comput , vol.175 , pp. 1685-1693
    • Hosseini, M.M.1
  • 16
    • 0347450513 scopus 로고    scopus 로고
    • A new algorithm for calculating Adomian polynomials for nonlinear operators
    • Wazwaz A.M. A new algorithm for calculating Adomian polynomials for nonlinear operators. Appl Math Comput 111 (2000) 53-69
    • (2000) Appl Math Comput , vol.111 , pp. 53-69
    • Wazwaz, A.M.1
  • 17
    • 2442492336 scopus 로고    scopus 로고
    • New method for calculating Adomian polynomials
    • Babolian E., and Javadi S.H. New method for calculating Adomian polynomials. Appl Math Comput 153 (2004) 253-259
    • (2004) Appl Math Comput , vol.153 , pp. 253-259
    • Babolian, E.1    Javadi, S.H.2
  • 18
    • 31144474061 scopus 로고    scopus 로고
    • A reliable symbolic implementation of algorithm for calculating Adomian polynomials
    • Pourdarvish A. A reliable symbolic implementation of algorithm for calculating Adomian polynomials. Appl Math Comput 172 (2006) 545-550
    • (2006) Appl Math Comput , vol.172 , pp. 545-550
    • Pourdarvish, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.