메뉴 건너뛰기




Volumn 59, Issue 1, 2010, Pages 42-54

Improved Adomian decomposition method

Author keywords

Adomian decomposition method; Boussinesq equation; Nonlinear differential equation

Indexed keywords

ADOMIAN DECOMPOSITION METHOD; ADOMIAN DECOMPOSITION METHODS; BOUSSINESQ EQUATIONS; IMPROVED METHODS; NONLINEAR DIFFERENTIAL EQUATION; NONLINEAR INITIAL-VALUE PROBLEMS; POWER SERIES SOLUTIONS; SERIES SOLUTIONS;

EID: 73449134442     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.06.009     Document Type: Article
Times cited : (24)

References (27)
  • 2
    • 0002464716 scopus 로고
    • Direct methods in soliton theory
    • Bullogh R.K., and Caudrey P.J. (Eds), Springer, Berlin
    • Hirota R. Direct methods in soliton theory. In: Bullogh R.K., and Caudrey P.J. (Eds). Solitons (1980), Springer, Berlin
    • (1980) Solitons
    • Hirota, R.1
  • 7
    • 46449132300 scopus 로고    scopus 로고
    • Comparison between Adomian's method and He's homotopy perturbation method
    • Özis T., and YildIrIm A. Comparison between Adomian's method and He's homotopy perturbation method. Computers & Mathematics with Applications 56 5 (2008) 1216-1224
    • (2008) Computers & Mathematics with Applications , vol.56 , Issue.5 , pp. 1216-1224
    • Özis, T.1    YildIrIm, A.2
  • 8
    • 58349085540 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
    • YildIrIm A. Application of He's homotopy perturbation method for solving the Cauchy reaction-diffusion problem. Computers & Mathematics with Applications 57 4 (2009) 612-618
    • (2009) Computers & Mathematics with Applications , vol.57 , Issue.4 , pp. 612-618
    • YildIrIm, A.1
  • 9
    • 34548249064 scopus 로고    scopus 로고
    • Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
    • YildIrIm A., and Özis T. Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method. Physics Letters A 369 1-2 (2007) 70-76
    • (2007) Physics Letters A , vol.369 , Issue.1-2 , pp. 70-76
    • YildIrIm, A.1    Özis, T.2
  • 10
    • 55649112486 scopus 로고    scopus 로고
    • Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method
    • YildIrIm A. Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method. Computers & Mathematics with Applications 56 12 (2008) 3175-3180
    • (2008) Computers & Mathematics with Applications , vol.56 , Issue.12 , pp. 3175-3180
    • YildIrIm, A.1
  • 12
    • 44049113849 scopus 로고
    • Modified decomposition solution of nonlinear partial differential equations
    • Adomian G., and Rach R. Modified decomposition solution of nonlinear partial differential equations. Applied Mathematics Letters 5 6 (1992) 29-30
    • (1992) Applied Mathematics Letters , vol.5 , Issue.6 , pp. 29-30
    • Adomian, G.1    Rach, R.2
  • 13
    • 0022661867 scopus 로고
    • On the solution of nonlinear differential equations with convolution product nonlinearities
    • Adomian G., and Rach R. On the solution of nonlinear differential equations with convolution product nonlinearities. Journal of Mathematical Analysis and Applications 114 1 (1986) 171-175
    • (1986) Journal of Mathematical Analysis and Applications , vol.114 , Issue.1 , pp. 171-175
    • Adomian, G.1    Rach, R.2
  • 15
    • 36248992919 scopus 로고    scopus 로고
    • New travelling wave solutions to the Boussinesq and the Klein-Gordon equations
    • Wazwaz A.-M. New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Communications in Nonlinear Science and Numerical Simulation 13 5 (2008) 889-901
    • (2008) Communications in Nonlinear Science and Numerical Simulation , vol.13 , Issue.5 , pp. 889-901
    • Wazwaz, A.-M.1
  • 16
    • 0037465601 scopus 로고    scopus 로고
    • A comparison of Adomian's decomposition method and wavelet-Galerkin method for solving integro-differential equations
    • El-Sayed S.M., and Abdel-Aziz M.R. A comparison of Adomian's decomposition method and wavelet-Galerkin method for solving integro-differential equations. Applied Mathematics and Computation 136 1 (2003) 151-159
    • (2003) Applied Mathematics and Computation , vol.136 , Issue.1 , pp. 151-159
    • El-Sayed, S.M.1    Abdel-Aziz, M.R.2
  • 17
    • 33751540614 scopus 로고
    • Modified decomposition solution of linear and nonlinear boundary-value problems
    • Adomian G., and Rach R. Modified decomposition solution of linear and nonlinear boundary-value problems. Nonlinear Analysis 23 5 (1994) 615-619
    • (1994) Nonlinear Analysis , vol.23 , Issue.5 , pp. 615-619
    • Adomian, G.1    Rach, R.2
  • 19
    • 0000492769 scopus 로고
    • Exact envelope-soliton solutions of a nonlinear wave
    • Hirota R. Exact envelope-soliton solutions of a nonlinear wave. Journal of Mathemtical Physics 14 7 (1973) 805-809
    • (1973) Journal of Mathemtical Physics , vol.14 , Issue.7 , pp. 805-809
    • Hirota, R.1
  • 20
    • 36849101831 scopus 로고
    • Exact N-soliton solutions of the wave equation of long waves in shallow water and in nonlinear lattices
    • Hirota R. Exact N-soliton solutions of the wave equation of long waves in shallow water and in nonlinear lattices. Journal of Mathemtical Physics 14 7 (1973) 810-814
    • (1973) Journal of Mathemtical Physics , vol.14 , Issue.7 , pp. 810-814
    • Hirota, R.1
  • 25
    • 33845229154 scopus 로고    scopus 로고
    • The solution of Burgers' and good Boussinesq equations using ADM-Padé technique
    • Abassy T.A., El-Tawil M.A., and Saleh H.K. The solution of Burgers' and good Boussinesq equations using ADM-Padé technique. Chaos, Solitons & Fractals 32 3 (2007) 1008-1026
    • (2007) Chaos, Solitons & Fractals , vol.32 , Issue.3 , pp. 1008-1026
    • Abassy, T.A.1    El-Tawil, M.A.2    Saleh, H.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.