On the Accuracy of the Galerkin Method for a Nonlinear Dynamic Beam Equation | Zendy

Peradze J. | Zendy

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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.

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