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Volumn 97, Issue 1, 1998, Pages 37-44

A comparison between Adomian decomposition method and Taylor series method in the series solutions

Author keywords

Adomian decomposition method; Linear and nonlinear differential equations; Taylor series method

Indexed keywords


EID: 0002566545     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(97)10127-8     Document Type: Article
Times cited : (134)

References (11)
  • 1
    • 0025548782 scopus 로고
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    • Adomian, G.1
  • 3
    • 0001845227 scopus 로고
    • Adomian's decomposition method: A powerful technique for solving engineering equations by computer
    • S. Van Tonningen, Adomian's decomposition method: a powerful technique for solving engineering equations by computer, Computers Education J. 5 (4) (1995) 30-34.
    • (1995) Computers Education J. , vol.5 , Issue.4 , pp. 30-34
    • Van Tonningen, S.1
  • 4
    • 0013154297 scopus 로고
    • New results for convergence of Adomian's method applied to integral equations
    • Y. Cherruault, G. Saccomandi, B. Some, New results for convergence of Adomian's method applied to integral equations, Math. Comput. Model. 16 (2) (1992) 85-93.
    • (1992) Math. Comput. Model. , vol.16 , Issue.2 , pp. 85-93
    • Cherruault, Y.1    Saccomandi, G.2    Some, B.3
  • 5
    • 33947181839 scopus 로고
    • Application of the decomposition method to the solution of the reaction-convection-diffusion equation
    • Y. Eugene, Application of the decomposition method to the solution of the reaction-convection-diffusion equation, Appl. Math. Comput. 56 (1993) 1-27.
    • (1993) Appl. Math. Comput. , vol.56 , pp. 1-27
    • Eugene, Y.1
  • 6
    • 0000945028 scopus 로고
    • A new approach to the nonlinear advection problem: An application of the decomposition method
    • A.M. Wazwaz, A new approach to the nonlinear advection problem: An application of the decomposition method, Appl. Math. Comput. 72 (1995) 175-181.
    • (1995) Appl. Math. Comput. , vol.72 , pp. 175-181
    • Wazwaz, A.M.1
  • 7
    • 0008175028 scopus 로고    scopus 로고
    • A reliable technique for solving the weakly singular second-kind Volterra-type integral equations
    • A.M. Wazwaz, A reliable technique for solving the weakly singular second-kind Volterra-type integral equations, Appl. Math. Comput. 80 (1996) 287-299.
    • (1996) Appl. Math. Comput. , vol.80 , pp. 287-299
    • Wazwaz, A.M.1
  • 8
    • 33947177477 scopus 로고
    • Comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
    • N. Bellomo, R.A. Monaco, Comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations, J. Math. Anal. Appl. 110 (1985) 495-502.
    • (1985) J. Math. Anal. Appl. , vol.110 , pp. 495-502
    • Bellomo, N.1    Monaco, R.A.2
  • 9
    • 0000738773 scopus 로고
    • On the Adomian (decomposition) method and comparisons with Picard's method
    • R. Rach, On the Adomian (decomposition) method and comparisons with Picard's method, J. Math. Anal. Appl. 128 (1987) 480-483.
    • (1987) J. Math. Anal. Appl. , vol.128 , pp. 480-483
    • Rach, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.