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Volumn 28, Issue 4, 2006, Pages 930-937

Non-perturbative analytical solutions of the space- and time-fractional Burgers equations

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALS; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; SOLITONS;

EID: 27744514614     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.09.002     Document Type: Article
Times cited : (171)

References (16)
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    • Adomian, G.1
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    • A collocation solution for Burgers equation using B-spline finite elements
    • A.H.A. Ali, G.A. Gardner, and L.R.T. Gardner A collocation solution for Burgers equation using B-spline finite elements Comput Math Appl Mech Eng 100 1997 325 337
    • (1997) Comput Math Appl Mech Eng , vol.100 , pp. 325-337
    • Ali, A.H.A.1    Gardner, G.A.2    Gardner, L.R.T.3
  • 4
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent. Part II
    • M. Caputo Linear models of dissipation whose Q is almost frequency independent. Part II J Roy Astr Soc 13 1967 529 539
    • (1967) J Roy Astr Soc , vol.13 , pp. 529-539
    • Caputo, M.1
  • 5
    • 27744501241 scopus 로고    scopus 로고
    • Adomian decomposition method for solving Burgers equation with fractional derivative
    • M. El-Shahed Adomian decomposition method for solving Burgers equation with fractional derivative J Fac Cal 24 2003 23 28
    • (2003) J Fac Cal , vol.24 , pp. 23-28
    • El-Shahed, M.1
  • 6
    • 1842426172 scopus 로고    scopus 로고
    • An application of the decomposition method for the KdVB equation
    • in press
    • Kaya D. An application of the decomposition method for the KdVB equation. Appl Math Comput, in press.
    • Appl Math Comput
    • Kaya, D.1
  • 7
    • 0037107899 scopus 로고    scopus 로고
    • A numerical comparison of partial solutions in the decomposition method for linear and non-linear partial differential equations
    • D. Kaya, and A. Yokus A numerical comparison of partial solutions in the decomposition method for linear and non-linear partial differential equations Math Comput Simulat 60 2002 507 512
    • (2002) Math Comput Simulat , vol.60 , pp. 507-512
    • Kaya, D.1    Yokus, A.2
  • 9
    • 0001983732 scopus 로고    scopus 로고
    • Fractional calculus: 'Some basic problems in continuum and statistical mechanics'
    • A. Carpinteri F. Mainardi Springer-Verlag New York
    • F. Mainardi Fractional calculus: 'Some basic problems in continuum and statistical mechanics' A. Carpinteri F. Mainardi Fractals and fractional calculus in continuum mechanics 1997 Springer-Verlag New York 291 348
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 291-348
    • Mainardi, F.1
  • 14
    • 0026135818 scopus 로고
    • Burgers equation with a fractional derivative; Hereditary effects on non-linear acoustic waves
    • N. Sugimoto Burgers equation with a fractional derivative; Hereditary effects on non-linear acoustic waves J Fluid Mech 225 1991 631 653
    • (1991) J Fluid Mech , vol.225 , pp. 631-653
    • Sugimoto, N.1
  • 15
    • 0035840362 scopus 로고    scopus 로고
    • Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions
    • A.M. Wazwaz Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions Appl Math Comput 123 2001 133 140
    • (2001) Appl Math Comput , vol.123 , pp. 133-140
    • Wazwaz, A.M.1
  • 16
    • 23644436694 scopus 로고    scopus 로고
    • A reliable modification of Adomian's decomposition method
    • A.M. Wazwaz A reliable modification of Adomian's decomposition method Appl Math Comput 92 1998 1 7
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    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.