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Volumn 43, Issue 10, 2000, Pages 1715-1734

Convergence and accuracy of Adomian's decomposition method for the solution of Lorenz equations

Author keywords

Adomian's decomposition; Chaos; Free convection; Lorenz equations; Weak turbulence

Indexed keywords

CONVECTION; HEAT TRANSFER; MATHEMATICAL ANALYSIS;

EID: 0034145059     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(99)00260-4     Document Type: Article
Times cited : (68)

References (17)
  • 1
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • G. Adomian, A review of the decomposition method in applied mathematics, J. Math. Anal. Appl 135 (1988) 501-544.
    • (1988) J. Math. Anal. Appl , vol.135 , pp. 501-544
    • Adomian, G.1
  • 3
    • 0342879902 scopus 로고    scopus 로고
    • Subcritical transitions to chaos and hysteresis in a fluid layer heated from below
    • P. Vadasz, Subcritical transitions to chaos and hysteresis in a fluid layer heated from below, International Journal of Heat and Mass Transfer 43 (2000) 705-724.
    • (2000) International Journal of Heat and Mass Transfer , vol.43 , pp. 705-724
    • Vadasz, P.1
  • 4
    • 0032719096 scopus 로고    scopus 로고
    • Weak turbulence and chaos for low Prandtl number gravity driven convection in porous media
    • P. Vadasz, S. Olek, Weak turbulence and chaos for low Prandtl number gravity driven convection in porous media, Transport in Porous Media 37 (1) (1999) 69-91.
    • (1999) Transport in Porous Media , vol.37 , Issue.1 , pp. 69-91
    • Vadasz, P.1    Olek, S.2
  • 5
    • 0003257379 scopus 로고    scopus 로고
    • Route to chaos for moderate prandtl number convection in a porous layer heated from below
    • in press.
    • P. Vadasz, S. Olek, Route to chaos for moderate prandtl number convection in a porous layer heated from below, Transport in Porous Media (1999) (in press).
    • (1999) Transport in Porous Media
    • Vadasz, P.1    Olek, S.2
  • 6
    • 0000241853 scopus 로고
    • Deterministic non-periodic flows
    • E.N. Lorenz, Deterministic non-periodic flows, J. Atmos. Sci 20 (1963) 130-141.
    • (1963) J. Atmos. Sci , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 9
    • 0000286947 scopus 로고
    • Non-periodic convection at high and low Prandtl number
    • W.V.R. Malkus, Non-periodic convection at high and low Prandtl number, Mem. Soc. R. Sci. Liege IV (6) (1972) 125-128.
    • (1972) Mem. Soc. R. Sci. Liege , vol.4 , Issue.6 , pp. 125-128
    • Malkus, W.V.R.1
  • 10
    • 0032102741 scopus 로고    scopus 로고
    • Transitions and chaos for free convection in a rotating porous layer
    • P. Vadasz, S. Olek, Transitions and chaos for free convection in a rotating porous layer, Int. J. Heat Mass Transfer 14 (11) (1998) 1417-1435.
    • (1998) Int. J. Heat Mass Transfer , vol.14 , Issue.11 , pp. 1417-1435
    • Vadasz, P.1    Olek, S.2
  • 11
    • 0028496495 scopus 로고
    • An accurate solution to the multispecies Lotka - Volterra equations
    • S. Olek, An accurate solution to the multispecies Lotka - Volterra equations, SIAM Review 36 (1994) 480-488.
    • (1994) SIAM Review , vol.36 , pp. 480-488
    • Olek, S.1
  • 12
    • 0032700140 scopus 로고    scopus 로고
    • Local and global transitions to chaos and hysteresis in a porous layer heated from below
    • P. Vadasz, Local and global transitions to chaos and hysteresis in a porous layer heated from below, Transport in Porous Media 37(2) (1999) 213-245.
    • (1999) Transport in Porous Media , vol.37 , Issue.2 , pp. 213-245
    • Vadasz, P.1
  • 13
    • 0029675546 scopus 로고    scopus 로고
    • Rendering a subcritical Hopf bifurcation supercritical
    • P. Yuen, H.H. Bau, Rendering a subcritical Hopf bifurcation supercritical, J. Fluid Mechanics 317 (1996) 91-109.
    • (1996) J. Fluid Mechanics , vol.317 , pp. 91-109
    • Yuen, P.1    Bau, H.H.2
  • 14
    • 0026797199 scopus 로고
    • Controlling chaos in a thermal convection loop
    • Y. Wang, J. Singer, H.H. Bau, Controlling chaos in a thermal convection loop, J. Fluid Mechanics 237 (1992) 479-498.
    • (1992) J. Fluid Mechanics , vol.237 , pp. 479-498
    • Wang, Y.1    Singer, J.2    Bau, H.H.3
  • 15
    • 0002588102 scopus 로고
    • Non-linear dynamical systems: On the accuracy of Adomian's decomposition method
    • A. Repaci, Non-linear dynamical systems: on the accuracy of Adomian's decomposition method, Appl. Math. Lett 3 (1990) 35-39.
    • (1990) Appl. Math. Lett , vol.3 , pp. 35-39
    • Repaci, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.