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Volumn 166, Issue 3, 2005, Pages 506-522

B-spline Galerkin methods for numerical solutions of the Burgers' equation

Author keywords

Burgers' equation; Cubic B spline; Galerkin finite element; Quadratic B spline

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FINITE ELEMENT METHOD; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY;

EID: 20444477122     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.06.078     Document Type: Article
Times cited : (45)

References (13)
  • 1
    • 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
  • 3
    • 0019068192 scopus 로고
    • Space-time finite elements incorporating characteristics for the Burgers' equation
    • E. Varoǧlu, and W.D.L. Finn Space-time finite elements incorporating characteristics for the Burgers' equation Int. J. Numer. Meth. Eng. 16 1980 171 184
    • (1980) Int. J. Numer. Meth. Eng. , vol.16 , pp. 171-184
    • Varoǧlu, E.1    Finn, W.D.L.2
  • 6
    • 0043119132 scopus 로고
    • A space time fInite element approach to Burgers' equation
    • E. Hinton Pineridge Press*et al.
    • H. Nguyen, and J. Reynen A space time fInite element approach to Burgers' equation E. Hinton Numerical Methods for Non-linear Problems vol. 3 1987 Pineridge Press 718 728
    • (1987) Numerical Methods for Non-linear Problems , vol.3 , pp. 718-728
    • Nguyen, H.1    Reynen, J.2
  • 8
    • 0025384952 scopus 로고
    • The generalised boundary element approach to Burgers' equation
    • K. Kakuda, and N. Tosaka The generalised boundary element approach to Burgers' equation Int. J. Numer. Meth. Eng. 29 1990 245 261
    • (1990) Int. J. Numer. Meth. Eng. , vol.29 , pp. 245-261
    • Kakuda, K.1    Tosaka, N.2
  • 9
    • 0034635943 scopus 로고    scopus 로고
    • Solitary waves of the Korteweg-De-Vries-Burgers' equation
    • S.I. Zaki Solitary waves of the Korteweg-De-Vries-Burgers' equation Comput. Phys. Commun. 126 2000 207 218
    • (2000) Comput. Phys. Commun. , vol.126 , pp. 207-218
    • Zaki, S.I.1
  • 10
    • 0034227299 scopus 로고    scopus 로고
    • A quintic B-spline finite elements scheme for the KdVB equation
    • S.I. Zaki A quintic B-spline finite elements scheme for the KdVB equation Comput. Meth. Appl. Eng. 188 2000 121 134
    • (2000) Comput. Meth. Appl. Eng. , vol.188 , pp. 121-134
    • Zaki, S.I.1
  • 11
    • 20444481254 scopus 로고    scopus 로고
    • The numerical solutions of the Burgers' equation by least squares quadratic B-spline element method
    • in press
    • S. Kutluay, A. Esen, I. Daǧ, The numerical solutions of the Burgers' equation by least squares quadratic B-spline element method, J. Comput. Appl. Math., in press.
    • J. Comput. Appl. Math.
    • Kutluay, S.1    Esen, A.2    Daǧ, I.3
  • 12
    • 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. Özdeş 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    Özdeş, A.3
  • 13
    • 20444454910 scopus 로고    scopus 로고
    • A numerical solution of the Burgers' equation using cubic B-splines
    • in press
    • I. Daǧ, D. Irk, B. Saka, A numerical solution of the Burgers' equation using cubic B-splines, J. Comput. Appl. Math., in press.
    • J. Comput. Appl. Math.
    • Daǧ, I.1    Irk, D.2    Saka, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.