Finite difference approximate solutions for the strongly damped extensible beam equations

Applied Mathematics and Computation

Volumn 112, Issue 1, 2000, Pages 11-32

  Choo, S M ^a   Chung, S K ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040360901     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00005-3     Document Type: Article

References (12)

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3. Ball J.M. Initial-boundary value problems for an extensible beam. J. Math. Anal. Appl. 42:1973;61-90.
4. Ball J.M. Stability theory for an extensible beam. J. Diff. Eq. 14:1973;399-418.
5. F.E. Brouwder, Existence and uniqueness theorems for solutions of nonlinear boundary value problems, in: R. Finn (Ed.), Applications of Nonlinear Partial Differential Equations, Proc. Symp. Appl. Math. 17 (1965) 24-49.
6. S.M. Choo, S.K. Chung, Finite element Galerkin solutions for the strongly damped extensible beam equations, in preparation.
7. 2 -error estimate for the strongly damped extensible beam equations Appl. Math. Lett. 11:1998;101-107.
8. E.A. Coddington, N. Levinson, Theory of Ordinary Differential Equations, Robert E. Krieger, Malabar, FL, 1955.
9. Dickey R.W. Free vibrations and dynamic buckling of the extensible beam. J. Math. Appl. Anal. 29:1970;443-454.
10. R.W. Dickey, Stability theory for quasi-linear wave equations with linear damping, Proceedings of the Royal Society, Edinburgh, 88A (1981) 25-41.
11. 2AN. 23:1989;597-613.
12. Woinowsky-Krieger S. The effect of axial force on the vibration of hinged bars. J. Appl. Mech. 17:1950;35-36.