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The generalized differential quadrature rule for fourth-order differential equations. (English) Zbl 0999.74120
From the summary: The generalized differential quadrature rule (GDQR) proposed here is aimed at solving higher-order differential equations. The improved approach is completely free of the use of existing $$\delta$$-point technique by applying multiple conditions in a rigorous manner. The GDQR is applied to static and dynamic analysis of Bernoulli-Euler beams and classical rectangular plates. Numerical error analysis is carried out in the beam analysis.

##### MSC:
 74S30 Other numerical methods in solid mechanics (MSC2010) 74K20 Plates 74H45 Vibrations in dynamical problems in solid mechanics 74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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