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Volumn 192, Issue 2, 2006, Pages 301-309

An approximation of the analytic solution of the shock wave equation

Author keywords

Conservation law; Shock wave equations; Soliton solutions; The Adomian decomposition method

Indexed keywords

DECOMPOSITION; FLOW OF FLUIDS; NUMERICAL ANALYSIS; SHOCK WAVES;

EID: 33646086000     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.05.009     Document Type: Article
Times cited : (34)

References (13)
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  • 3
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    • K. Al-Khaled, Theory and Computations in Hyperbolic Model Problems, Ph.D. Thesis, University of Nebraska-Lincoln, USA, 1996.
  • 4
    • 3142762468 scopus 로고    scopus 로고
    • Construction of solutions of shallow water equation by the decomposition method
    • Al-khaled K., and Allan F. Construction of solutions of shallow water equation by the decomposition method. J. Math. Comp. Sim. 66 6 (2004) 479-486
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    • Al-khaled, K.1    Allan, F.2
  • 5
    • 33646086392 scopus 로고
    • Lossless propagation of one-dimensional, finite amplitude sound waves
    • Banta E.D. Lossless propagation of one-dimensional, finite amplitude sound waves. J. Math. Anal. Appl. 10 (1965) 166-173
    • (1965) J. Math. Anal. Appl. , vol.10 , pp. 166-173
    • Banta, E.D.1
  • 6
    • 0031645758 scopus 로고    scopus 로고
    • Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations
    • Behrens J. Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations. Appl. Numer. Math. 26 1-2 (1998) 217-226
    • (1998) Appl. Numer. Math. , vol.26 , Issue.1-2 , pp. 217-226
    • Behrens, J.1
  • 7
    • 0028534347 scopus 로고
    • Upwind methods for hyperbolic conservation laws with course terms
    • Bermudez A., and Elena Vazquez M. Upwind methods for hyperbolic conservation laws with course terms. Comput. Fluids 23 (1994) 1049-1071
    • (1994) Comput. Fluids , vol.23 , pp. 1049-1071
    • Bermudez, A.1    Elena Vazquez, M.2
  • 8
    • 3142662636 scopus 로고
    • Convergence of approximate solutions of the Cauchy problem for a 2 × 2 non-strictly hyperbolic system of conservation laws
    • Shearer M. (Ed), Vieweg Braunschweig, taormina
    • Bruno R. Convergence of approximate solutions of the Cauchy problem for a 2 × 2 non-strictly hyperbolic system of conservation laws. In: Shearer M. (Ed). Nonlinear Hyperbolic Problems (1993), Vieweg Braunschweig, taormina 487-494
    • (1993) Nonlinear Hyperbolic Problems , pp. 487-494
    • Bruno, R.1
  • 10
    • 84970868898 scopus 로고
    • Convergence of Adomian's method
    • Cherrualt Y. Convergence of Adomian's method. Kybernetes 18 (1989) 31-38
    • (1989) Kybernetes , vol.18 , pp. 31-38
    • Cherrualt, Y.1
  • 11
    • 0000395259 scopus 로고
    • Decomposition methods: a new proof of convergence
    • Cherrualt Y., and Adomian G. Decomposition methods: a new proof of convergence. Math. Comput. Model. 18 (1993) 103-106
    • (1993) Math. Comput. Model. , vol.18 , pp. 103-106
    • Cherrualt, Y.1    Adomian, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.