scientific article; zbMATH DE number 5587434

zbMATH Open1179.65082MaRDI QIDQ5190966

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Publication date: 27 July 2009

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zbMATH Keywords

numerical examplesEuler-Bernoulli beams and wave equations are under consideration. To this end, the Adomian decomposition method (ADM) and variational iteration method have been employed to obtain analytical solutions to these differential equations. The results are compared with accurate numerical computations, which show that ADM is a high performance

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear ordinary differential equations and systems (34A34) Wave equation (35L05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

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