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Volumn 156, Issue 2, 2004, Pages 295-305

A linearized numerical scheme for Burgers-like equations

Author keywords

Burgers' equation; Linearized implicit finite difference

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; LINEARIZATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 3943112925     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.07.011     Document Type: Article
Times cited : (20)

References (16)
  • 1
    • 0001073405 scopus 로고
    • Some recent researches on the motion of fluids
    • Bateman H. Some recent researches on the motion of fluids. Mon. Weather Rev. 43:1915;163-170.
    • (1915) Mon. Weather Rev. , vol.43 , pp. 163-170
    • Bateman, H.1
  • 2
    • 77956834067 scopus 로고
    • A mathematical model illustrating the theory of turbulence
    • Burger J.M. A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1:1948;171-199.
    • (1948) Adv. Appl. Mech. , vol.1 , pp. 171-199
    • Burger, J.M.1
  • 3
    • 0000332692 scopus 로고
    • On a quasi-linear parabolic equations occurring in aerodynamics
    • Cole J.D. On a quasi-linear parabolic equations occurring in aerodynamics. Quart. Appl. Math. 9:1951;225-236.
    • (1951) Quart. Appl. Math. , vol.9 , pp. 225-236
    • Cole, J.D.1
  • 5
    • 20444369590 scopus 로고    scopus 로고
    • A Petrov-Galerkin finite element scheme for Burgers' equation
    • Gardner L.R.T., Gardner G.A., Dogan A. A Petrov-Galerkin finite element scheme for Burgers' equation. Arab. J. Sci. Eng. 22:1997;99-109.
    • (1997) Arab. J. Sci. Eng. , vol.22 , pp. 99-109
    • Gardner, L.R.T.1    Gardner, G.A.2    Dogan, A.3
  • 6
    • 0021141935 scopus 로고
    • The group explicit method for the solution of Burger's equation
    • Evans D.J., Abdullah A.R. The group explicit method for the solution of Burger's equation. Computing. 32:1984;239-253.
    • (1984) Computing , vol.32 , pp. 239-253
    • Evans, D.J.1    Abdullah, A.R.2
  • 7
    • 0002879831 scopus 로고    scopus 로고
    • An efficient numerical scheme for Burgers' equation
    • Hon Y.C., Mao X.Z. An efficient numerical scheme for Burgers' equation. Appl. Math. Comput. 95:1998;37-50.
    • (1998) Appl. Math. Comput. , vol.95 , pp. 37-50
    • Hon, Y.C.1    Mao, X.Z.2
  • 10
    • 0030363673 scopus 로고    scopus 로고
    • Numerical solution of periodic Burger equation
    • Mittal R.C., Singhal P. Numerical solution of periodic Burger equation. Indian J. Pure Appl. Math. 27(7):1996;689-700.
    • (1996) Indian J. Pure Appl. Math. , vol.27 , Issue.7 , pp. 689-700
    • Mittal, R.C.1    Singhal, P.2
  • 11
    • 0030194115 scopus 로고    scopus 로고
    • A direct variational methods applied to Burgers' equation
    • Özis T., Özdes A. A direct variational methods applied to Burgers' equation. J. Comput. Appl. Math. 71:1996;163-175.
    • (1996) J. Comput. Appl. Math. , vol.71 , pp. 163-175
    • Özis, T.1    Özdes, A.2
  • 12
    • 0019068192 scopus 로고
    • Space time finite elements incorporating characteristics for the Burgers' equations
    • Varoglu E., Finn W.D.L. Space time finite elements incorporating characteristics for the Burgers' equations. Int. J. Numer. Methods Eng. 16:1980;171-184.
    • (1980) Int. J. Numer. Methods Eng. , vol.16 , pp. 171-184
    • Varoglu, E.1    Finn, W.D.L.2
  • 13
    • 0039728591 scopus 로고    scopus 로고
    • Numerical solution of one-dimensional Burgers' equation: Explicit and exact-explicit finite difference methods
    • Kutluay S., Bahadir A.R., Özdes A. Numerical solution of one-dimensional Burgers' equation: explicit and exact-explicit finite difference methods. J. Comput. Appl. Math. 103:1999;251-261.
    • (1999) J. Comput. Appl. Math. , vol.103 , pp. 251-261
    • Kutluay, S.1    Bahadir, A.R.2    Özdes, A.3
  • 14
    • 0000868819 scopus 로고
    • A table of solutions of the one-dimensional Burgers' equations
    • Benton E., Platzman G.W. A table of solutions of the one-dimensional Burgers' equations. Quart. Appl. Math. 30:1972;195-212.
    • (1972) Quart. Appl. Math. , vol.30 , pp. 195-212
    • Benton, E.1    Platzman, G.W.2
  • 15
    • 0020190513 scopus 로고
    • Solution of Burgers' equation with a large Reynolds number
    • Caldwell J., Smith P. Solution of Burgers' equation with a large Reynolds number. Appl. Math. Model. 6:1982;381-385.
    • (1982) Appl. Math. Model. , vol.6 , pp. 381-385
    • Caldwell, J.1    Smith, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.