메뉴 건너뛰기




Volumn 165, Issue 1, 2005, Pages 237-249

Numerical solution of Burgers' equation by quadratic B-spline finite elements

Author keywords

Burgers' equation; Galerkin method; Quadratic B splines

Indexed keywords

DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; GRAPH THEORY; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING; REYNOLDS NUMBER; SHOCK WAVES;

EID: 17444383810     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.04.101     Document Type: Article
Times cited : (52)

References (28)
  • 1
    • 0001073405 scopus 로고
    • Some recent researchers on the motion of fluids
    • H. Bateman Some recent researchers on the motion of fluids Mon. Weather Rev. 43 1915 163 170
    • (1915) Mon. Weather Rev. , vol.43 , pp. 163-170
    • Bateman, H.1
  • 3
    • 0000332692 scopus 로고
    • On a quasi linear parabolic equation occurring in aerodynamics
    • J.D. Cole On a quasi linear parabolic equation occurring in aerodynamics Quart. Appl. Math. 9 1951 225 236
    • (1951) Quart. Appl. Math. , vol.9 , pp. 225-236
    • Cole, J.D.1
  • 5
    • 0002879831 scopus 로고    scopus 로고
    • An efficient numerical scheme for Burgers' equation
    • Y.C. Hon, and X.Z. Mao 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
  • 6
    • 0020190513 scopus 로고
    • Solution of Burgers' equation with a large Reynolds number
    • J. Caldwell, and P. Smith Solution of Burgers' equation with a large Reynolds number Appl. Math. Modell. 6 1982 381 385
    • (1982) Appl. Math. Modell. , vol.6 , pp. 381-385
    • Caldwell, J.1    Smith, P.2
  • 7
    • 0021141935 scopus 로고
    • The group explicit method for the solution of Burgers' equation
    • D.J. Evans, and A.R. Abdullah The group explicit method for the solution of Burgers' equation Computing 32 1984 239 253
    • (1984) Computing , vol.32 , pp. 239-253
    • Evans, D.J.1    Abdullah, A.R.2
  • 9
    • 0039728591 scopus 로고    scopus 로고
    • Numerical solution of one-dimensional Burgers' equation: Explicit and exact-explicit finite difference methods
    • S. Kutluay, A.R. Bahadir, and A. Özdes 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
  • 11
    • 3943112925 scopus 로고    scopus 로고
    • A linearized numerical scheme for Burgers-like equations
    • S. Kutluay, and A. Esen A linearized numerical scheme for Burgers-like equations Appl. Math. Comput. 156 2004 295 305
    • (2004) Appl. Math. Comput. , vol.156 , pp. 295-305
    • Kutluay, S.1    Esen, A.2
  • 12
    • 0001903822 scopus 로고
    • Numerical solution of compressible flow by finite element method which follows the free boundary and the interfaces
    • P. Jamet, and R. Bonnerot Numerical solution of compressible flow by finite element method which follows the free boundary and the interfaces J. Comput. Phys. 18 1975 21 45
    • (1975) J. Comput. Phys. , vol.18 , pp. 21-45
    • Jamet, P.1    Bonnerot, R.2
  • 13
    • 0019068192 scopus 로고
    • Space time finite elements incorporating characteristics for the Burgers' equations
    • E. Varoglu, and W.D.L. Finn Space time finite elements incorporating characteristics for the Burgers' equations Int. J. Numer. Meth. Engng. 16 1980 171 184
    • (1980) Int. J. Numer. Meth. Engng. , vol.16 , pp. 171-184
    • Varoglu, E.1    Finn, W.D.L.2
  • 14
    • 0019578929 scopus 로고
    • A finite element approach to Burgers' equation
    • J. Caldwell, P. Wanless, and E. Cook A finite element approach to Burgers' equation Appl. Math. Modell. 5 1981 189 193
    • (1981) Appl. Math. Modell. , vol.5 , pp. 189-193
    • Caldwell, J.1    Wanless, P.2    Cook, E.3
  • 15
    • 0018926613 scopus 로고
    • A practical application of variational -iterative schemes
    • J. Caldwell, P. Wanless, and B.L. Burrows A practical application of variational -iterative schemes J. Phys. D: Appl. Phys. 13 1980 177 179
    • (1980) J. Phys. D: Appl. Phys. , vol.13 , pp. 177-179
    • Caldwell, J.1    Wanless, P.2    Burrows, B.L.3
  • 16
    • 0004150512 scopus 로고
    • A variational-iterative scheme applied to Burgers' equation
    • R. Saunders, J. Caldwell, and P. Wanless A variational-iterative scheme applied to Burgers' equation IMA J. Numer. Anal. 4 1984 349 362
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 349-362
    • Saunders, R.1    Caldwell, J.2    Wanless, P.3
  • 17
    • 0030194115 scopus 로고    scopus 로고
    • A direct variational methods applied to Burgers' equation
    • T. Özis, and A. Özdes 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
  • 18
    • 0043119132 scopus 로고
    • A space-time finite element approach to Burgers' equation
    • C. Taylor et al. (Eds.) Pineridge Press
    • H. Nguyen, J. Reynen, A space-time finite element approach to Burgers' equation, in: C. Taylor et al. (Eds.), Numerical Methods for Nonlinear Problems, vol. 2, Pineridge Press, 1982, pp. 718-728
    • (1982) Numerical Methods for Nonlinear Problems , vol.2 , pp. 718-728
    • Nguyen, H.1    Reynen, J.2
  • 19
    • 2342444094 scopus 로고    scopus 로고
    • Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
    • S. Kutluay, A. Esen, and I. Dag Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method J. Comput. Appl. Math. 167 2004 21 33
    • (2004) J. Comput. Appl. Math. , vol.167 , pp. 21-33
    • Kutluay, S.1    Esen, A.2    Dag, I.3
  • 20
    • 0037448173 scopus 로고    scopus 로고
    • A finite element approach for solution of Burgers' equation
    • T. Özis, E.N. Aksan, and A. Özdes A finite element approach for solution of Burgers' equation Appl. Math. Comput. 139 2003 417 428
    • (2003) Appl. Math. Comput. , vol.139 , pp. 417-428
    • Özis, T.1    Aksan, E.N.2    Özdes, A.3
  • 21
    • 0026955388 scopus 로고
    • A collocation solution for Burgers' equation using cubic B-spline finite elements
    • A.H.A. Ali, G.A. Gardner, and L.R.T. Gardner A collocation solution for Burgers' equation using cubic B-spline finite elements Comp. Meth. Appl. Mech. Engng. 100 1992 325 337
    • (1992) Comp. Meth. Appl. Mech. Engng. , vol.100 , pp. 325-337
    • Ali, A.H.A.1    Gardner, G.A.2    Gardner, L.R.T.3
  • 26
    • 0025384952 scopus 로고
    • The generalised boundary element approach to Burgers' equation
    • K. Kakuda, and Tosaka The generalised boundary element approach to Burgers' equation Int. J. Numer. Meth. Engng. 29 1990 245 261
    • (1990) Int. J. Numer. Meth. Engng. , vol.29 , pp. 245-261
    • Kakuda, K.1    Tosaka2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.