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A Galerkin method for a nonlinear integro-differential wave system. (English) Zbl 0525.73089


MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74H45 Vibrations in dynamical problems in solid mechanics
74K05 Strings
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74S99 Numerical and other methods in solid mechanics
Full Text: DOI

References:

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[2] Dickey, R. W., Infinite systems of nonlinear oscillation equations related to the string, (Proc. Amer. Math. Soc., 23 (1969)), 459-468 · Zbl 0218.34015
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[9] Sanz-Serna, J. M., An explicit finite difference scheme with exact conservation properties, J. Comput. Phys., 47, 199-210 (1982) · Zbl 0484.65062
[10] Sanz-Serna, J. M.; Manoranjan, V. S., A method for the integration in time of certain partial differential equations, J. Comput. Phys., 52, 273-289 (1983) · Zbl 0514.65085
[11] Sanz-Serna, J. M., Methods for the numerical solution of the nonlinear Schröedinger equation, Math. Comp., 43 (1984), to appear. · Zbl 0555.65061
[12] Delfour, M.; Fortin, M.; Payne, G., Finite difference solution of a nonlinear Schröedinger equation, J. Comput. Phys., 44, 277-288 (1981) · Zbl 0477.65086
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