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On the Accuracy of the Galerkin Method for a Nonlinear Dynamic Beam Equation
Author(s) -
Peradze J.
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1478
Subject(s) - galerkin method , mathematics , nonlinear system , timoshenko beam theory , boundary value problem , mathematical analysis , beam (structure) , variable (mathematics) , differential equation , partial differential equation , state variable , physics , quantum mechanics , optics , thermodynamics
Communicated by G. C. Hsiao The paper deals with the boundary value problem for a nonlinear integro‐differential equation modeling the dynamic state of the Timoshenko beam. To approximate the solution with respect to a spatial variable, the Galerkin method is used, the error of which is estimated. Copyright © 2011 John Wiley & Sons, Ltd.